{"title":"Geometry \u0026 Trigonometry","description":"\u003cp\u003eShop geometry and trigonometry books for learners and educators, including Euclidean geometry, coordinate geometry, measurement, proofs, geometric problem solving, and trigonometric methods. U.S. delivery only.\u003c\/p\u003e","products":[{"product_id":"construction-geometry-paperback","title":"Construction Geometry - Paperback","description":"\u003cp\u003eby \u003cb\u003eBrian Walmsley\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis textbook is designed to develop an understanding of geometrical applications for students in carpentry, millwork, building, and drafting courses. Each unit starts with simple exercises and moves to more complex assignments.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003ePUBLISHER'S NOTE: This book was originally published more than two decades ago. While every effort has been taken to ensure copies printed today are comparable in quality to those printed when the book was first published, in some cases illustrations and diagrams used in the original book were relatively small (though legible) and in other instances had to be scanned from archival copies. The information included in the book remains uniquely valuable, but we do want readers to know that in some places the layout of this book may not reach the level of sophistication expected of a new publication today.\u003c\/em\u003e\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 208\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.44 x 11 x 8.5 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 03, 2020\u003c\/div\u003e","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52470772400426,"sku":"9780919852198","price":63.45,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/3dZ3FkbO2x9780919852198.webp?v=1788466225"},{"product_id":"eulers-gem-the-polyhedron-formula-and-the-birth-of-topology-paperback-1","title":"Euler's Gem: The Polyhedron Formula and the Birth of Topology - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eDavid S. Richeson\u003c\/b\u003e (Author), \u003cb\u003eDavid S. Richeson\u003c\/b\u003e (Preface by)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eHow a simple equation reshaped mathematics\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eLeonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's theorem is so simple it can be explained to a child. From ancient Greek geometry to today's cutting-edge research, \u003ci\u003eEuler's Gem\u003c\/i\u003e celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, \u003ci\u003eEuler's Gem\u003c\/i\u003e will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003eDavid S. Richeson\u003c\/b\u003e is professor of mathematics at Dickinson College.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 336\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1 x 8.5 x 5.5 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e July 23, 2019\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486378455338,"sku":"9780691191379","price":21.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/KZ2GJofoBL9780691191379_03a5b698-d2a7-43b8-9696-24d2b3b153b3.webp?v=1788545019"},{"product_id":"newtons-principia-first-book-sections-i-ii-iii-with-notes-and-illustrations-paperback-1","title":"Newton's Principia, First Book Sections I, II, III, With Notes and Illustrations - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eIsaac Newton\u003c\/b\u003e (Author), \u003cb\u003ePercival Frost\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.\u003c\/p\u003e\u003cp\u003eThis work is in the \"public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.\u003c\/p\u003e\u003cp\u003eScholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 308\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.65 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e October 27, 2022\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486378324266,"sku":"9781015763227","price":45.63,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/MKsTjsSgWc9781015763227_9834785d-eb4d-4606-a247-7198729d3330.webp?v=1788545018"},{"product_id":"projective-geometry-paperback-1","title":"Projective Geometry - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003ePierre Samuel\u003c\/b\u003e (Author), \u003cb\u003eSilvio Levy\u003c\/b\u003e (Translator)\u003c\/p\u003e\u003cp\u003eThe purpose of this book is to revive some of the beautiful results obtained by various geometers of the 19th century, and to give its readers a taste of concrete algebraic geometry. A good deal of space is devoted to cross-ratios, conics, quadrics, and various interesting curves and surfaces. The fundamentals of projective geometry are efficiently dealt with by using a modest amount of linear algebra. An axiomatic characterization of projective planes is also given. While the topology of projective spaces over real and complex fields is described, and while the geometry of the complex projective libe is applied to the study of circles and Möbius transformations, the book is not restricted to these fields. Interesting properties of projective spaces, conics, and quadrics over finite fields are also given. This book is the first volume in the Readings in Mathematics sub-series of the UTM. \u003ci\u003eFrom the \u003c\/i\u003e \u003ci\u003ereviews: \u003c\/i\u003e \"...The book of P. Samuel thus fills a gap in the literature. It is a little jewel. Starting from a minimal background in algebra, he succeeds in 160 pages in giving a coherent exposition of all of projective geometry. ... one reads this book like a novel. \" \u003ci\u003eD.Lazard in Gazette des \u003c\/i\u003e \u003ci\u003eMathématiciens\u003c\/i\u003e#1\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 156\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.44 x 9.28 x 6.18 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 12, 1988\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486379667754,"sku":"9780387967523","price":170.27,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/NDxWNV6XpN9780387967523_d960f75b-92ac-4270-85a1-230f2724a824.webp?v=1788545020"},{"product_id":"an-introduction-to-laplacian-spectral-distances-and-kernels-theory-computation-and-applications-paperback-1","title":"An Introduction to Laplacian Spectral Distances and Kernels: Theory, Computation, and Applications - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eGiuseppe Patanè\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eIn geometry processing and shape analysis, several applications have been addressed through the properties of the Laplacian spectral kernels and distances, such as commute time, biharmonic, diffusion, and wave distances.\u003c\/p\u003e \u003cp\u003eWithin this context, this book is intended to provide a common background on the definition and computation of the Laplacian spectral kernels and distances for geometry processing and shape analysis. To this end, we define a unified representation of the isotropic and anisotropic discrete Laplacian operator on surfaces and volumes; then, we introduce the associated differential equations, i.e., the harmonic equation, the Laplacian eigenproblem, and the heat equation. Filtering the Laplacian spectrum, we introduce the Laplacian spectral distances, which generalize the commute-time, biharmonic, diffusion, and wave distances, and their discretization in terms of the Laplacian spectrum. As main applications, we discuss the design of smooth functions and the Laplacian smoothing of noisy scalar functions.\u003c\/p\u003e \u003cp\u003eAll the reviewed numerical schemes are discussed and compared in terms of robustness, approximation accuracy, and computational cost, thus supporting the reader in the selection of the most appropriate with respect to shape representation, computational resources, and target application.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eGiuseppe Patane is a researcher at CNR-IMATI (2006-today) Institute for Applied Mathematics and Information Technologies-Italian National Research Council. Since 2001, his research activities have been focused on the definition of paradigms and algorithms for modeling and analyzing digital shapes and multidimensional data. He received a Ph.D. in Mathematics and Applications from the University of Genova (2005) and a Post-Lauream Degree Master in Applications of Mathematics to Industry from the F. 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Readers will get a firm foundation in basic principles of mathematics which are necessary to know in order to go ahead in calculus, linear algebra or other topics. The subject matter is clearly covered and the author develops concepts so the reader can see how one subject matter can relate and grow into another.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003eThe present book is intended as a text in basic mathematics. As such, it can have multiple use: for a one-year course in the high schools during the third or fourth year (if possible the third, so that calculus can be taken during the fourth year); for complementary reference in earlier high school grades (elementary algebra and geometry are covered); for a one-semester course at the college level, to review or to get a firm foundation in the basic mathematics to go ahead in calculus, linear algebra, or other topics.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 496\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.92 x 9.24 x 6.11 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e July 01, 1988\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486380716330,"sku":"9780387967875","price":106.77,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/tKIxRyfdmR9780387967875_0b6aec9b-ce73-4435-9b10-519e0e87d171.webp?v=1788545021"},{"product_id":"symmetry-a-journey-into-the-patterns-of-nature-paperback-1","title":"Symmetry: A Journey Into the Patterns of Nature - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eMarcus Du Sautoy\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eSymmetry is all around us. Of fundamental significance to the way we interpret the world, this unique, pervasive phenomenon indicates a dynamic relationship between objects. Combining a rich historical narrative with his own personal journey as a mathematician, Marcus du Sautoy takes a unique look into the mathematical mind as he explores deep conjectures about symmetry and brings us face-to-face with the oddball mathematicians, both past and present, who have battled to understand symmetry's elusive qualities.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eSymmetry is all around us. Of fundamental significance to the way we interpret the world, this unique, pervasive phenomenon indicates a dynamic relationship between objects. Combining a rich historical narrative with his own personal journey as a mathematician, Marcus du Sautoy takes a unique look into the mathematical mind as he explores deep conjectures about symmetry and brings us face-to-face with the oddball mathematicians, both past and present, who have battled to understand symmetry's elusive qualities.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 384\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.1 x 7.9 x 5.3 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 13, 2013\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486380847402,"sku":"9780060789411","price":18.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/zjRfOs9_eU9780060789411_d5646e36-b020-4a4b-a585-638fbab15f74.webp?v=1788545021"},{"product_id":"coordinate-geometry-paperback-1","title":"Coordinate Geometry - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eLuther Pfahler Eisenhart\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eA thorough, complete, and unified introduction, this volume affords exceptional insights into coordinate geometry. It makes extensive use of determinants, but no previous knowledge is assumed; they are introduced from the beginning as a natural tool for coordinate geometry. Invariants of conic sections and quadric surfaces receive full treatments. Algebraic equations on the first degree in two and three unknowns are carefully reviewed and carried farther than is usual in algebra courses. Throughout the book, results are formulated precisely, with clearly stated theorems. More than 500 helpful exercises throughout the text incorporate -- often in rather novel settings -- each idea after its full and careful explanation. 1939 edition.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 298\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.8 x 8.4 x 5.5 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 04, 2005\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486380945706,"sku":"9780486442617","price":34.76,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/nFZF22cYz9780486442617_71b35598-6fa6-4d79-9420-1cee184dc14d.webp?v=1788545022"},{"product_id":"geometry-and-topology-paperback-1","title":"Geometry and Topology - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eMiles Reid\u003c\/b\u003e (Author), \u003cb\u003eBalazs Szendroi\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eGeometry is central to many branches of mathematics and physics, and offers a complete range of views on the universe. This introduction includes many simple explanations and examples. With minimal prerequisites, the book provides a first glimpse of many research topics in modern algebra, geometry and theoretical physics. The book is based on many years' teaching experience, and is thoroughly class-tested. There are copious illustrations, and each chapter ends with exercises. Further teaching material is available via the web, including assignable problem sheets with solutions.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 216\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.49 x 9.66 x 6.46 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e November 10, 2005\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486381076778,"sku":"9780521613255","price":194.69,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/uwdrA6AS4_9780521613255_d836ff99-5fc6-499b-a278-9cd5e3e04b84.webp?v=1788545021"},{"product_id":"modern-geometry-methods-and-applications-part-iii-introduction-to-homology-theory-hardcover-1","title":"Modern Geometry--Methods and Applications: Part III: Introduction to Homology Theory - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eB. a. Dubrovin\u003c\/b\u003e (Author), \u003cb\u003eRobert G. Burns\u003c\/b\u003e (Translator), \u003cb\u003eA. T. Fomenko\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eOver the past fifteen years, the geometrical and topological methods of the theory of manifolds have as- sumed a central role in the most advanced areas of pure and applied mathematics as well as theoretical physics. The three volumes of \u003cb\u003eModern Geometry - Methods and Applications\u003c\/b\u003e contain a concrete exposition of these methods together with their main applications in mathematics and physics. This third volume, presented in highly accessible languages, concentrates in homology theory. It contains introductions to the contemporary methods for the calculation of homology groups and the classification of manifesto. Both scientists and students of mathematics as well as theoretical physics will find this book to be a valuable reference and text.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 418\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.94 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e October 18, 1990\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486385140010,"sku":"9780387972718","price":186.63,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/OILI5BGU-p9780387972718_c283a563-43b1-478b-a6bf-f208ea8aecb9.webp?v=1788545025"},{"product_id":"polyhedra-paperback-1","title":"Polyhedra - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003ePeter R. Cromwell\u003c\/b\u003e (Author), \u003cb\u003eCromwell Peter R.\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003ePolyhedra have cropped up in many different guises throughout recorded history. Recently, polyhedra and their symmetries have been cast in a new light by combinatorics and group theory. This unique text comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics. The author strikes a balance between covering the historical development of the theory surrounding polyhedra and rigorous treatment of the mathematics involved. Attractively illustrated--including 16 color plates--Polyhedra elucidates ideas that have proven difficult to grasp. Mathematicians, as well as historians of mathematics, will find this book fascinating.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 476\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.06 x 10.03 x 6.99 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e July 22, 1999\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486386286890,"sku":"9780521664059","price":144.09,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/c_jizEQY1q9780521664059_02a6c7e5-0f9d-4a09-b3c2-86c3c2dc9d01.webp?v=1788545027"},{"product_id":"elements-of-algebra-geometry-numbers-equations-paperback-1","title":"Elements of Algebra: Geometry, Numbers, Equations - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eJohn Stillwell\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis book is a concise, self-contained introduction to abstract algebra that stresses its unifying role in geometry and number theory. There is a strong emphasis on historical motivation - both to trace abstract concepts to their concrete roots, but also to show the power of new ideas to solve old problems. This approach shows algebra as an integral part of mathematics and makes this text more informative to both beginners and experts than others.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 184\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.42 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 01, 2010\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486386516266,"sku":"9781441928399","price":124.91,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/fPfljhLVew9781441928399_d7479513-10fe-4a8b-8f13-702c300403fc.webp?v=1788545026"},{"product_id":"geometry-a-metric-approach-with-models-hardcover-1","title":"Geometry: A Metric Approach with Models - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eRichard S. Millman\u003c\/b\u003e (Author), \u003cb\u003eGeorge D. Parker\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis text offers a vivid modern development of classical and non-Euclidean geometries. Intended for a first course that is concerned with firm foundations, the book presents abstract systems in an accessible style by means of models that are carefully integrated with the theory, enabling the reader to picture the ideas more clearly.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 372\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.88 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 17, 1990\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486387302698,"sku":"9780387974125","price":170.27,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/w8rndoASc79780387974125_0743b8dd-67d3-4b94-8394-6bd6cef353ab.webp?v=1788545027"},{"product_id":"linear-algebra-through-geometry-hardcover-1","title":"Linear Algebra Through Geometry - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eThomas Banchoff\u003c\/b\u003e (Author), \u003cb\u003eJohn Wermer\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003cb\u003eLinear Algebra Through Geometry\u003c\/b\u003e introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space. Topics include systems of linear equations in n variable, inner products, symmetric matrices, and quadratic forms. The final chapter treats application of linear algebra to differential systems, least square approximations and curvature of surfaces in three spaces. The only prerequisite for reading this book (with the exception of one section on systems of differential equations) are high school geometry, algebra, and introductory trigonometry.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 308\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.1 x 9.4 x 6.4 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e November 25, 1991\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486389563690,"sku":"9780387975863","price":143.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/AKwC_qONed9780387975863_69c6b24b-3dbc-4c41-ac42-faa11b98e9e7.webp?v=1788545030"},{"product_id":"geometric-modeling-the-mathematics-of-shapes-paperback-1","title":"Geometric Modeling: The Mathematics of Shapes - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eNikolay Golovanov\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\"Geometric modeling continues to grow in importance... Understanding the constructs that underlie geometric modeling will place students and developers at the forefront of these new advancements. Nikolay Golovanov has paved the way to that understanding with this comprehensive presentation.\" - Ken Versprille, Ph.D.\"Golovanov has created a text that will enable any serious student of geometric design to grasp the full power and beauty of the mathematics behind this essential set of tools, and put them to work. I am deeply impressed by the logical and methodical presentation, and by the clarity of the teaching. Highly recommended!\" - Joel N. Orr, Ph.D.This book is intended for those who study, use, or develop geometric modeling systems. It is devoted to the mathematical apparatus of these systems and provides methods for constructing numerical models of the geometry of real and imaginary objects.The book outlines the methods of geometric modeling, including methods for constructing curves, surfaces, and solids. It describes the algorithms and data structures of geometric objects. It also presents principles of interconnection between elements of a model. The book examines some applications of geometric models. This book is based on the author's experience gained during the development of the C3D geometric kernel.Learn more about C3D at http: \/\/c3dlabs.com\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eNikolay Golovanov is a graduate of the Mechanical Engineering department of Bauman Moscow State Technical University as a designer of space launch vehicles. Upon his graduation, he began to work with the Kolomna Engineering Design Bureau. While at the bureau, Mr. Golovanov developed software for analyzing the strength and stability of shell structures. In 1989 his colleagues Alexander Golikov and Tatiana Yankina left Kolomna Design Bureau to found software developer called ASCON. Although they began with just an \"electronic drafting board,\" they were already conceiving the idea of three-dimensional parametric modeling. This radical concept eventually changed flat drawings into three-dimensional models. Nikolay Golovanov joined ASCON in 1994 to began development of C3D - the geometic modeling kernel of the company's CAD KOMPAS-3D. Today he continues to develop algorithms and to improve the C3D kernel - the only commercial 3D kernel from Russia.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 348\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.72 x 10 x 7.01 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 24, 2014\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486389891370,"sku":"9781497473195","price":67.48,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/uVHh9zAaC9781497473195_2f7868d9-1333-4204-8671-52e712e3658d.webp?v=1788545030"},{"product_id":"grade-3-geometry-workbook-triangles-and-squares-math-books-paperback-1","title":"Grade 3 Geometry Workbook: Triangles And Squares (Math Books) - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eBaby Professor\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eImprove your geometry knowledge through interesting facts about triangles and squares. Have fun learning about these shapes through exercises that are challenging but reassuring. Like all other math skills, geometry requires constant practice and exposure for retention of information. This is an acquired skill that you will benefit from in the coming years. Buy a copy now!\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 32\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.07 x 8.5 x 8.5 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e June 16, 2015\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486390382890,"sku":"9781682123157","price":23.91,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/AWON4E4TWz9781682123157_a2d76526-1b9b-4d76-b29d-6d9e4458fb51.webp?v=1788545031"},{"product_id":"euclids-elements-with-exercises-paperback-1","title":"Euclid's Elements with Exercises - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eKathryn Goulding\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis work was created in the hope that it will encourage both students and teachers to discover the beauty of thought that Euclid's \u003ci\u003eElements\u003c\/i\u003e embodies. Although it could be used by anyone, it and the companion instructor's copy (also available on Amazon) were assembled and written with small schools or homeschooling groups in mind. For those without a strong mathematics background, or for those studying Euclid on their own, the author recommends purchasing an instructor's copy, which contains the exact material in the student copy, but with additional notes for teachers, comments on the books, and solutions to selected exercises.\u003c\/p\u003e\u003cp\u003eThe work consists of the first six books of the \u003ci\u003eElements\u003c\/i\u003e, with the addition of ten sets of exercises (additional proofs) to reinforce concepts. The material has been arranged in such a way as to enable its completion in a school year while assuring that all the basic propositions covered in a standard plane geometry class are included. Some propositions have been omitted, but these have been chosen so that the flow of logic is never interrupted, and all omitted propositions are in Appendix A at the back of the book. There is also an appendix explaining the basics of formal reasoning, including an explanation of the converse and contrapositive of a statement and the concept of an indirect proof. \u003c\/p\u003e\u003cp\u003eThis book was not designed for the purist. Although it is pure Euclid and contains all of Books I - VI, it may offend the sensibilities of some who love Euclid (as the assembler\/author does) to fail to place each proposition in its proper place in the main body of the text. For anyone not under a time constraint, or anyone moving quickly through the text, the author strongly recommends the inclusion of Book II in the main flow of the course.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eKathryn Goulding has been involved in classical education for many years, having taught mathematics and logic for two classical Christian schools, and serving for ten years on the board of one of them. She has taught in a variety of settings from elementary school through college. She developed and taught logic workshops for use at the junior high and high school levels, and while teaching high school geometry assembled this book. It is her hope that it will be of use to those wishing to teach or study geometry directly from Euclid's Elements. Kathryn graduated from Bucknell University with a B.S. in Mathematics and earned her M.S. in Mathematics from the University of Florida. She has had a life-long love of Astronomy, enjoys biking and swimming, and is an avid reader of both fiction and non-fiction. She and her husband Tom live in Massachusetts.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 172\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.37 x 9.25 x 7.5 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 15, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486390415658,"sku":"9780692925942","price":29.12,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/oycqfHWx5B9780692925942_4e7dabc1-2e91-4965-8c6f-81c4eb631488.webp?v=1788545031"},{"product_id":"number-theory-in-function-fields-paperback-1","title":"Number Theory in Function Fields - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eMichael Rosen\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis book studies the relationship between number theory in algebraic number fields and algebraic function fields. Because function fields are a bit different from number fields, even the experienced number theorist will learn from this book. Algebraic geometers will like the book, since the geometry of curves over an algebraically closed field is both pretty and elementary. Michael Rosen is the author of the successful book \"A Classical Introduction to Modern Number Theory.\" He is the recipient of the 1999 Chauvenet Prize for his article \"Niels Hendrik Abel and Equations of the Fifth Degree.\"\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003eElementary number theory is concerned with arithmetic properties of the ring of integers. Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The first part of this book illustrates this relationship by presenting, for example, analogues of the theorems of Fermat and Euler, Wilsons theorem, quadratic (and higher) reciprocity, the prime number theorem, and Dirichlets theorem on primes in an arithmetic progression. After presenting the required foundational material on function fields, the later chapters explore the analogy between global function fields and algebraic number fields. A variety of topics are presented, including: the ABC-conjecture, Artins conjecture on primitive roots, the Brumer-Stark conjecture, Drinfeld modules, class number formulae, and average value theorems.\u003cbr\u003eThe first few chapters of this book are accessible to advanced undergraduates. The later chapters are designed for graduate students and professionals in mathematics and related fields who want to learn more about the very fruitful relationship between number theory in algebraic number fields and algebraic function fields. In this book many paths are set forth for future learning and exploration.\u003cbr\u003eMichael Rosen is Professor of Mathematics at Brown University, where hes been since 1962. He has published over 40 research papers and he is the co-author of A Classical Introduction to Modern Number Theory, with Kenneth Ireland. He received the Chauvenet Prize of the Mathematical Association of America in 1999 and the Philip J. Bray Teaching Award in 2001.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 358\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.78 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 03, 2010\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486390481194,"sku":"9781441929549","price":133.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/n9pITb7G_Z9781441929549_18294999-4c6b-4fb0-b732-84dff5dbeabe.webp?v=1788545030"},{"product_id":"algebraic-topology-from-a-homotopical-viewpoint-paperback-1","title":"Algebraic Topology from a Homotopical Viewpoint - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eMarcelo Aguilar\u003c\/b\u003e (Author), \u003cb\u003eS. B. Sontz\u003c\/b\u003e (Translator), \u003cb\u003eSamuel Gitler\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis is an introductory text for a first course in algebraic topology. The authors present the beginning material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This point of view clearly has applications in algebraic geometry as understood by Lawson and Voevodsky. This carefully written book can be read by any student who knows some topology. It will be a useful place to quickly learn this novel homotoy-theoretic point of view of algebraic topology.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003eThe purpose of this book is to introduce algebraic topology using the novel approach of homotopy theory, an approach with clear applications in algebraic geometry as understood by Lawson and Voevodsky. This method allows the authors to cover the material more efficiently than the more common method using homological algebra. The basic concepts of homotopy theory, such as fibrations and cofibrations, are used to construct singular homology and cohomology, as well as K-theory. Throughout the text many other fundamental concepts are introduced, including the construction of the characteristic classes of vector bundles. Although functors appear constantly throughout the text, no knowledge about category theory is expected from the reader. This book is intended for advanced undergraduates and graduate students with a basic knowledge of point set topology as well as group theory and can be used in a two semester course.\u003cbr\u003eMarcelo Aguilar and Carlos Prieto are Professors at the Instituto de Matemticas, Universidad Nacional Autónoma de México, and Samuel Gitler is a member of El Colegio Nacional and professor at the Centro de Investigación y Estudios Avanzados del IPN.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 479\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.03 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 14, 2011\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486391529770,"sku":"9781441930057","price":133.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/j6_uV4DR_a9781441930057_cdca4709-de65-4c4d-8ee2-f008694d1740.webp?v=1788545032"},{"product_id":"euclids-elements-with-exercises-instructors-copy-paperback-1","title":"Euclid's Elements with Exercises Instructor's Copy - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eKathryn Goulding\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe instructor's edition of Euclid's \u003ci\u003eElements\u003c\/i\u003e With Exercises is intended as a guide for anyone teaching Euclid for the first time. Although it could be used by anyone, it was assembled and written with small schools or homeschooling groups in mind. In addition to containing the first six books in exactly the format of the student edition (also available on Amazon), the instructor's edition provides a concise overview of the course, including suggestions for conducting the class, a discussion of the organization of the material, brief comments on supplemental and memory work, and other details about which a new instructor might have questions. It also has notes for the teacher on each of the six books of the \u003ci\u003eElements\u003c\/i\u003e, notes on selected exercises, and an appendix explaining the basics of formal reasoning, including an explanation of the converse and contrapositive of a statement and the concept of an indirect proof, which occurs early in Book I.\u003c\/p\u003e \u003cp\u003eThe primary difference between this work and Euclid's \u003ci\u003eElements\u003c\/i\u003e as it is usually presented (aside from the fact that there are some exercises), is that, while all of Books I - VI are included in the book, some propositions are omitted in the main body of the text (all omitted propositions are in Appendix A). This was done in order to be able to finish in two semesters all the plane geometry that would normally be covered in a modern geometry class. It should be noted, of course, that the flow of logic of the propositions is never interrupted.\u003c\/p\u003e \u003cp\u003eThis book was not designed for the purist. Although it is pure Euclid and contains all of the first six books, it may offend the sensibilities of some who love Euclid (as the assembler\/author does) to fail to place Book II in the expected flow of the main body of the text. For anyone not under a time constraint, or anyone moving quickly through the text, the author strongly recommends the inclusion of Book II in the course flow.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eKathryn Goulding has been involved in classical education for many years, having taught mathematics and logic for two classical Christian schools, and serving for ten years on the board of one of them. She has taught in a variety of settings from elementary school through college. She developed and taught logic workshops for use at the junior high and high school levels, and while teaching high school geometry assembled this book. It is her hope that it will be of use to those wishing to teach or study geometry directly from Euclid's Elements. Kathryn graduated from Bucknell University with a B.S. in Mathematics and earned her M.S. in Mathematics from the University of Florida. She has had a life-long love of Astronomy, enjoys biking and swimming, and is an avid reader of both fiction and non-fiction. She and her husband Tom live in Massachusetts.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 196\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.42 x 9.25 x 7.5 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 15, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486391562538,"sku":"9780692925959","price":33.96,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/xqpXql1bjL9780692925959_12b4a1e7-6b36-4378-972d-bb16c1e93ef6.webp?v=1788545032"},{"product_id":"modern-geometry-methods-and-applications-part-i-the-geometry-of-surfaces-transformation-groups-and-fields-hardcover-1","title":"Modern Geometry -- Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eR. G. Burns\u003c\/b\u003e (Translator), \u003cb\u003eB. a. Dubrovin\u003c\/b\u003e (Author), \u003cb\u003eA. T. Fomenko\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This material is explained in as simple and concrete a language as possible, in a terminology acceptable to physicists. The text for the second edition has been substantially revised.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 470\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.06 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e November 11, 1991\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486393659690,"sku":"9780387976631","price":152.07,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/PAeCedp28s9780387976631_cffc313d-5c97-4436-866d-de96c056e144.webp?v=1788545033"},{"product_id":"graphic-trisection-of-an-arbitrary-angle-the-flatortue-method-solution-to-the-impossible-problem-paperback-1","title":"Graphic Trisection of an arbitrary angle: The FLatortue Method Solution to the 'impossible problem' - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eHarold Florentino Latortue Phd\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThe Flatortue Method of arbitrary angle trisection provides the necessary basic knowledge (to trisect an arbitrary angle using a compass and a straight edge) that was lacking in the fields of mathematics and geometry studies for centuries. The FLatortue Method declassifies trisection from 'impossible' problem to common knowledge. In this book, the simple steps to perform the trisection of an arbitrary angle are presented with the algebraic analysis that shows why the Method is mathematically justified. The FLatortue Method opens the doors to solving the problem of dividing any arbitrary angle into 'n' equal parts when 'n' is a prime number.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 112\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.23 x 9.02 x 5.98 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e April 06, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486393823530,"sku":"9780692870129","price":52.34,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/EW6Jwt0-hp9780692870129_deb33182-b975-46b2-9215-7896f161ca90.webp?v=1788545034"},{"product_id":"algebraic-geometry-a-first-course-hardcover-1","title":"Algebraic Geometry: A First Course - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eJoe Harris\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis book provides an elementary introduction to algebraic geometry. The reader is introduced to principal objects, methods and goals of the subject. Theory is developed concurrently with many examples and exercises enabling the student to better understand the subject matter. Prerequisites include some linear and multilinear algebra and a basic background in abstract algebra.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 330\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.9 x 9.56 x 6.33 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 17, 1992\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486394642730,"sku":"9780387977164","price":152.13,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/f6enhVZbcV9780387977164_2c119570-e5c7-40fc-a20e-3d00b51ca149.webp?v=1788545034"},{"product_id":"geometry-a-high-school-course-paperback-1","title":"Geometry: A High School Course - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eSerge Lang\u003c\/b\u003e (Author), \u003cb\u003eGene Murrow\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis book presents a coherent high school curriculum for the geometry course. With the help of many examples and exercises, this text teaches the student fundamental concepts and the difference between important results and minor technical routines.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 394\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.84 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 01, 2010\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486395396394,"sku":"9781441930842","price":124.91,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/VPgZmulnnY9781441930842_3af171c1-ef8d-4bba-8e81-51ea459ede74.webp?v=1788545035"},{"product_id":"the-foundations-of-geometry-paperback-1","title":"The Foundations of Geometry - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eDavid Hilbert\u003c\/b\u003e (Author), \u003cb\u003eE. J. Townsend\u003c\/b\u003e (Translator)\u003c\/p\u003e\u003cp\u003eThis Is A New Release Of The Original 1902 Edition.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 152\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.33 x 9.02 x 5.98 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 30, 2014\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486396707114,"sku":"9781497964440","price":50.47,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/rK8PZxBo5l9781497964440_a0e76d2b-38c3-4e20-895e-b922288f05f4.webp?v=1788545036"},{"product_id":"algebraic-geometry-over-the-complex-numbers-paperback-1","title":"Algebraic Geometry Over the Complex Numbers - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eDonu Arapura\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject. It covers sheaf theory, cohomology, some Hodge theory, as well as some of the more algebraic aspects of algebraic geometry. The author frequently refers the reader if the treatment of a certain topic is readily available elsewhere but goes into considerable detail on topics for which his treatment puts a twist or a more transparent viewpoint. His cases of exploration and are chosen very carefully and deliberately. The textbook achieves its purpose of taking new students of complex algebraic geometry through this a deep yet broad introduction to a vast subject, eventually bringing them to the forefront of the topic via a non-intimidating style.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis textbook is a strong addition to existing introductory literature on algebraic geometry. The author's treatment combines the study of algebraic geometry with differential and complex geometry and unifies these subjects using sheaf-theoretic ideas. It is also an ideal text for showing students the connections between algebraic geometry, complex geometry, and topology, and brings the reader close to the forefront of research in Hodge theory and related fields. \u003c\/p\u003e\u003cp\u003eUnique features of this textbook: \u003c\/p\u003e\u003cp\u003e- Contains a rapid introduction to complex algebraic geometry \u003c\/p\u003e\u003cp\u003e- Includes background material on topology, manifold theory and sheaf theory \u003c\/p\u003e\u003cp\u003e- Analytic and algebraic approaches are developed somewhat in parallel The presentation is easy going, elementary, and well illustrated with examples. \u003c\/p\u003e\u003cp\u003e\"Algebraic Geometry over the Complex Numbers\" is intended for graduate level courses in algebraic geometry and related fields. It can be used as a main text for a second semester graduate course in algebraic geometry with emphasis on sheaf theoretical methods or a more advanced graduate course on algebraic geometry and Hodge Theory.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eDonu Arapura is a Professor of Mathematics at Purdue University. He received his Ph.D. from Columbia University in 1985. Dr. Arapura's primary research includes algebraic geometry, and he has written and co-written several publications ranging from Hodge cycles to cohomology. \u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 329\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.9 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e February 10, 2012\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486397067562,"sku":"9781461418085","price":170.27,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/RSIfAWh0_x9781461418085_03c1fb12-f912-4de2-85f4-3e715b8486f5.webp?v=1788545036"},{"product_id":"algebraic-geometry-a-first-course-paperback-1","title":"Algebraic Geometry: A First Course - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eJoe Harris\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis book provides an elementary introduction to algebraic geometry. The reader is introduced to principal objects, methods and goals of the subject. Theory is developed concurrently with many examples and exercises enabling the student to better understand the subject matter. Prerequisites include some linear and multilinear algebra and a basic background in abstract algebra.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 330\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.73 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 01, 2010\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486397657386,"sku":"9781441930996","price":133.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/RNm2xYyGJ19781441930996_81ee7a7e-a335-4665-9b49-c6beaaa4bf58.webp?v=1788545037"},{"product_id":"topology-and-geometry-hardcover-1","title":"Topology and Geometry - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eGlen E. Bredon\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis book is intended as a textbook for a first-year graduate course on algebraic topology, with as strong flavoring in smooth manifold theory. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. It covers most of the topics all topologists will want students to see, including surfaces, Lie groups and fibre bundle theory.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 557\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.28 x 9.56 x 6.4 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e June 24, 1993\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486397722922,"sku":"9780387979267","price":152.07,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/4ujdE565zn9780387979267_0cc9bcaa-fa80-4591-961f-672289cb9331.webp?v=1788545038"},{"product_id":"heights-in-diophantine-geometry-paperback-1","title":"Heights in Diophantine Geometry - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eEnrico Bombieri\u003c\/b\u003e (Author), \u003cb\u003eWalter Gubler\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eDiophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of ideas such as Fermat's Last Theorem, and most recently the ABC conjecture. This monograph is a bridge between the classical theory and modern approach via arithmetic geometry. The authors provide a clear path through the subject for graduate students and researchers. They have re-examined many results and much of the literature, and provide a thorough account of several topics at a level not seen before in book form. The treatment is largely self-contained, with proofs given in full detail.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 670\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.24 x 8.95 x 6.1 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 06, 2007\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486397853994,"sku":"9780521712293","price":171.51,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/4REfChUxlq9780521712293_df36af81-1ce2-4cde-88b8-4c50041a610f.webp?v=1788545037"},{"product_id":"vector-analysis-versus-vector-calculus-paperback-1","title":"Vector Analysis Versus Vector Calculus - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eAntonio Galbis\u003c\/b\u003e (Author), \u003cb\u003eManuel Maestre\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThe aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Several practical methods and many solved exercises are provided. This book tries to show that vector analysis and vector calculus are not always at odds with one another. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eKey topics include: \u003cbr\u003e-Vectors and vector fields;\u003cbr\u003e-line integrals;\u003cbr\u003e-regular k-surfaces;\u003cbr\u003e-flux of a vector field;\u003cbr\u003e-orientation of a surface;\u003cbr\u003e-differential forms;\u003cbr\u003e-Stokes' theorem;\u003cbr\u003e-divergence theorem. \u003cp\u003e\u003c\/p\u003eThis book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003eThe aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Several practical methods and many solved exercises are provided. This book tries to show that vector analysis and vector calculus are not always at odds with one another. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eKey topics include: \u003cbr\u003e-vectors and vector fields;\u003cbr\u003e-line integrals;\u003cbr\u003e-regular k-surfaces;\u003cbr\u003e-flux of a vector field;\u003cbr\u003e-orientation of a surface;\u003cbr\u003e-differential forms;\u003cbr\u003e-Stokes' theorem;\u003cbr\u003e-divergence theorem. \u003cp\u003e\u003c\/p\u003eThis book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eAntonio Galbis and Manuel Maestre are currently professors of mathematics at the University of Valencia in Spain.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 375\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.9 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 26, 2012\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486399295786,"sku":"9781461421993","price":170.27,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/jtHZPKtUXy9781461421993_9ab5ce04-ba1f-44af-a081-6cb47a4b7542.webp?v=1788545039"},{"product_id":"gauge-theory-and-variational-principles-paperback-1","title":"Gauge Theory and Variational Principles - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eDavid Bleecker\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis text provides a framework for describing and organizing the basic forces of nature and the interactions of subatomic particles. A detailed and self-contained mathematical account of gauge theory, it is geared toward beginning graduate students and advanced undergraduates in mathematics and physics. This well-organized treatment supplements its rigor with intuitive ideas.\u003cbr\u003eStarting with an examination of principal fiber bundles and connections, the text explores curvature; particle fields, Lagrangians, and gauge invariance; Lagrange's equation for particle fields; and the inhomogeneous field equation. Additional topics include free Dirac electron fields; interactions; calculus on frame bundle; and unification of gauge fields and gravitation. The text concludes with references, a selected bibliography, an index of notation, and a general index.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 208\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.42 x 8.52 x 5.4 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 10, 2005\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486400934186,"sku":"9780486445465","price":22.67,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/sHUpesXE-H9780486445465_0d39853d-9305-424b-ad3f-f480994d329f.webp?v=1788545041"},{"product_id":"geometry-measurements-2nd-grade-math-workbook-series-vol-4-paperback-1","title":"Geometry \u0026 Measurements 2nd Grade Math Workbook Series Vol 4 - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eBaby Professor\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eLet's study geometry and measurements! This workbook features several examples of these math subtopics with the purpose of 100% absorption of knowledge. The secret is the effective and age-appropriate layout that places high respect on a child's natural learning curve. The examples run from easy to challenging, and are definitely a great logical activity. Grab a copy today!\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 40\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.08 x 8.5 x 8.5 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e January 23, 2016\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486401851690,"sku":"9781683055365","price":25.12,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/NcqWJkLL9a9781683055365_4a9ba746-e534-4468-b79f-f7cd3a7d0a4f.webp?v=1788545041"},{"product_id":"the-geometry-of-spacetime-an-introduction-to-special-and-general-relativity-paperback-1","title":"The Geometry of Spacetime: An Introduction to Special and General Relativity - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eJames J. Callahan\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003ePreliminary Text. DO NOT USE. In 1905, Albert Einstein offered a revolutionary theory--special relativity--to explain some of the most troubling problems about electromagnetism and motion in the physics of the day. Soon afterwards, Hermann Minkowski recast special relativity essentially as a new geometric structure for spacetime. These ideas are the subject of the first part of the book. The second part introduces the theory of frames, surfaces, and intrinsic geometry in order to develop the main implications of Einstein's general relativity.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 454\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.97 x 9.61 x 6.69 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 12, 2011\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486401786154,"sku":"9781441931429","price":143.06,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/QbvvfeB5ld9781441931429_5e2d5241-9954-4d7c-90c6-c87d82a7b670.webp?v=1788545041"},{"product_id":"geometry-euclid-and-beyond-paperback-1","title":"Geometry: Euclid and Beyond - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eRobin Hartshorne\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003ePreliminary Booksellers Text: Do Not Use This book takes Euclid's \"Elements\" ad the starting point for a study of geometry from a modern mathematical perspective. To begin, the reader will become familiar with the content of Euclid's work, at least those parts which deal with geometry. At a second level, the book studies the logical structure of Euclid's presentation. Euclid's \"Elements\" has been regarded for more than two thousand years as the prime example of the axiomatic method. At the third level of reading, involving rather broader investigaions than the first two levels mentioned above, the author considers various mathematical questions and subsequent developments which arise naturally from Euclid's\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 528\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.3 x 9.7 x 6.7 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 15, 2010\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486402769194,"sku":"9781441931450","price":115.84,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/HB4N5_RNQZ9781441931450_08a23557-da02-44d0-92c4-a53b4df84d05.webp?v=1788545042"},{"product_id":"geometric-folding-algorithms-paperback-1","title":"Geometric Folding Algorithms - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eErik D. Demaine\u003c\/b\u003e (Author), \u003cb\u003eJoseph O'Rourke\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eHow can linkages, pieces of paper, and polyhedra be folded? The authors present hundreds of results and over 60 unsolved 'open problems' in this comprehensive look at the mathematics of folding, with an emphasis on algorithmic or computational aspects. Folding and unfolding problems have been implicit since Albrecht Dürer in the early 1500s, but have only recently been studied in the mathematical literature. Over the past decade, there has been a surge of interest in these problems, with applications ranging from robotics to protein folding. A proof shows that it is possible to design a series of jointed bars moving only in a flat plane that can sign a name or trace any other algebraic curve. One remarkable algorithm shows you can fold any straight-line drawing on paper so that the complete drawing can be cut out with one straight scissors cut. Aimed primarily at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from high school students to researchers.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 496\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.1 x 9.9 x 6.9 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e August 21, 2008\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486402867498,"sku":"9780521715225","price":142.37,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/tvnVCE8CTK9780521715225_b43e1b36-898e-4a30-88f7-20a72af7d695.webp?v=1788545042"},{"product_id":"dirichlets-principle-conformal-mapping-and-minimal-surfaces-paperback-1","title":"Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eRichard Courant\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eMathematical development, the author of this text observes, comes about through specific, easily understood problems that require difficult solutions and demand the use of new methods. Richard Courant employs this instructive approach in a text that balances the individuality of mathematical objects with the generality of mathematical methods.\u003cbr\u003eBeginning with a discussion of Dirichlet's principle and the boundary-value problem of potential theory, the text proceeds to examinations of conformal mapping on parallel-slit domains and Plateau's problem. Succeeding chapters explore the general problem of Douglas and conformal mapping of multiply connected domains, concluding with a survey of minimal surfaces with free boundaries and unstable minimal surfaces.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 352\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.72 x 8.6 x 6.62 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e November 03, 2005\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486403064106,"sku":"9780486445526","price":31.14,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/BRoGt8_M1r9780486445526_426278b5-6417-41f3-9a44-dadb3e7ca9e9.webp?v=1788545042"},{"product_id":"algebraic-surfaces-paperback-1","title":"Algebraic Surfaces - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eLucian Badescu\u003c\/b\u003e (Author), \u003cb\u003eV. Masek\u003c\/b\u003e (Translator)\u003c\/p\u003e\u003cp\u003eThe aim of this book is to present certain fundamental facts in the theory of algebraic surfaces, defined over an algebraically closed field lk of arbitrary characteristic. The book is based on a series of talks given by the author in the Algebraic Geometry seminar at the Faculty of Mathematics, University of Bucharest. The main goal is the classification of nonsingular projective surfaces (also called simply surfaces). In the context of complex algebraic varieties, the classification was obtained by Enriques and Castelnuovo. Around 1960, Kodaira [Kodl, Kod2] revived and simplified the classification of complex algebraic surfaces and extended it to the case of compact analytic surfaces. The problem of classifying surfaces in arbitrary characteristic remained open. The first step in this direction was the purely algebraic proof (valid in arbitrary characteristic), due to Zariski [Zarl, Zar2], of Castelnuovo's criterion of rationality. Then Mumford [Mum3, Mum4] introduced several new ideas, and the classification of surfaces in positive characteristic be- came possible. Finally, Bombieri and Mumford [BMl, BM2] completed the classification of surfaces in arbitrary characteristic. Their result was the following: The same types of surfaces that exist in the case when lk is the complex field arise in the general case, if one sets aside certain pathologies that arise only in characteristic 2 or 3.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 259\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.57 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e November 19, 2010\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486403785002,"sku":"9781441931498","price":133.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/pi00Af6Mqs9781441931498_ebcc0342-1a53-438b-aa23-c65bbdea6b8a.webp?v=1788545043"},{"product_id":"practical-conic-sections-the-geometric-properties-of-ellipses-parabolas-and-hyperbolas-paperback-1","title":"Practical Conic Sections: The Geometric Properties of Ellipses, Parabolas and Hyperbolas - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eJ. W. Downs\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eIllustrated with interesting examples from everyday life, this text shows how to create ellipses, parabolas, and hyperbolas and presents fascinating historical background on their ancient origins. The text starts with a discussion of techniques for generating the conic curves, showing how to create accurate depictions of large or small conic curves and describing their reflective properties, from light in telescopes to sound in microphones and amplifiers. It further defines the role of curves in the construction of auditoriums, antennas, lamps, and numerous other design applications. Only a basic knowledge of plane geometry needed; suitable for undergraduate courses. 1993 edition. 98 figures.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 112\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.32 x 9.02 x 6.56 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e October 18, 2010\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486404276522,"sku":"9780486428765","price":12.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/zNO83vTGM-9780486428765_c5ff0cbc-492c-4fc7-abdc-b35b3509c9c7.webp?v=1788545044"},{"product_id":"basic-geometry-shapes-and-patterns-2nd-grade-math-workbook-series-vol-6-paperback-1","title":"Basic Geometry, Shapes and Patterns 2nd Grade Math Workbook Series Vol 6 - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eBaby Professor\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eLet's have fun with shapes and patterns! This educational resource is the perfect complement for your child's early geometry curriculum. It presents the subject in a cool and engaging format to facilitate better understanding of this math concept. Make math a child-friendly subject. Grab a copy of this book today!\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 40\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.08 x 8.5 x 8.5 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e January 23, 2016\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486404735274,"sku":"9781683055389","price":25.12,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/oXEqdr54xr9781683055389_425dc011-9560-4547-ad98-1aeb883b462a.webp?v=1788545044"},{"product_id":"a-geometric-analysis-of-the-platonic-solids-and-other-semi-regular-polyhedra-hardcover-1","title":"A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eKenneth J. M. MacLean\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003cb\u003eGetting Inside the Mind of Nature\u003c\/b\u003e: Discover the simple but powerful mathematics of the underlying geometric figures that shape our world \u003c\/p\u003e\u003cp\u003e\u003cb\u003eCan geometry be exciting?\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003eIt can for those who can appreciate the beauty of numbers and their relationships. \u003c\/p\u003e\u003cp\u003eThis book contains a meticulous geometric investigation of the 5 Platonic Solids and 5 other important polyhedra, as well as reference charts for each solid. \u003c\/p\u003e\u003cp\u003ePoly (many) hedron (face) means \"many faces.\" Polyhedra are 3 dimensional figures with 4 or more faces, or sides. These polyhedra are reflections of Nature herself, and a study of them provides insight into the way the world is structured. Nature is not only beautiful, but highly intelligent. As you explore the polyhedra in this book, this will become apparent over and over again. \u003c\/p\u003e\u003cp\u003eThe book contains a geometric explanation of the \u003cb\u003ePhi Ratio\u003c\/b\u003e and \u003cb\u003eFibonacci series\u003c\/b\u003e, and a detailed analysis of the pentagon, which forms the basis for many of these solids. The pentagon is composed entirely of Phi relationships, and is integral to a proper understanding of sacred geometry. \u003c\/p\u003e\u003cp\u003eWith \u003cb\u003eover 140 full-color illustrations\u003c\/b\u003e, this book is perfect for teachers and students of geometry alike. It is a must for those who are serious about sacred geometry. \u003c\/p\u003e\u003cp\u003eThis book is dedicated to those who can appreciate the logic of numbers and the beauty of nature, for they are both aspects of the same unifying principle. \u003c\/p\u003e\u003cp\u003ePrerequisites: knowledge of simple algebra and elementary trigonometry. No brainiac math skills required! Only the ability to appreciate nature's own logic. \u003c\/p\u003e\u003cp\u003eBook #1 in the Geometric Explorations Series \u003c\/p\u003e\u003cp\u003eFrom Loving Healing Press (www.LovingHealing.com)\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 212\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.69 x 11 x 8.5 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e June 01, 2015\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486405128490,"sku":"9781615992751","price":58.96,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/9GoptnPogL9781615992751_f38bcf7a-cb02-4ce9-8897-85fc36e2ff95.webp?v=1788545044"},{"product_id":"a-course-in-modern-geometries-paperback-1","title":"A Course in Modern Geometries - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eJudith N. Cederberg\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eA Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 continues the synthetic approach as it introduces Euclid's geometry and ideas of non-Euclidean geometry. In Chapter 3, a new introduction to symmetry and hands-on explorations of isometries precedes the extensive analytic treatment of isometries, similarities and affinities. A new concluding section explores isometries of space. Chapter 4 presents plane projective geometry\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 441\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.94 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 01, 2010\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486405783850,"sku":"9781441931931","price":106.77,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/Fscy9segBV9781441931931_36879cbd-7204-4c9b-a6f4-7179de5f4352.webp?v=1788545045"},{"product_id":"geometric-design-of-linkages-paperback-1","title":"Geometric Design of Linkages - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eJ. Michael McCarthy\u003c\/b\u003e (Author), \u003cb\u003eGim Song Soh\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages. The focus is on sizing mechanical constraints that guide the movement of a work piece, or end-effector, of the system. The function of the device is prescribed as a set of positions to be reachable by the end-effector; and the mechanical constraints are formed by joints that limit relative movement. The goal is to find all the devices that can achieve a specific task. Formulated in this way the design problem is purely geometric in character. Robot manipulators, walking machines, and mechanical hands are examples of articulated mechanical systems that rely on simple mechanical constraints to provide a complex workspace for the end- effector. The principles presented in this book form the foundation for a design theory for these devices. The emphasis, however, is on articulated systems with fewer degrees of freedom than that of the typical robotic system, and therefore, less complexity. This book will be useful to mathematics, engineering and computer science departments teaching courses on mathematical modeling of robotics and other articulated mechanical systems.\u003c\/p\u003e\u003cp\u003eThis new edition includes research results of the past decade on the synthesis of multi loop planar and spherical linkages, and the use of homotopy methods and Clifford algebras in the synthesis of spatial serial chains. One new chapter on the synthesis of spatial serial chains introduces numerical homotopy and the linear product decomposition of polynomial systems. The second new chapter introduces the Clifford algebra formulation of the kinematics equations of serial chain robots. Examples are use throughout to demonstrate the theory.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis book is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages. The focus is on sizing mechanical constraints that guide the movement of a workpiece, or end effector, of the system. The function of the device is prescribed as a set of positions to be reachable by the end effector; and the mechanical constraints are formed by joints that limit relative movement. The goal is to find all the devices that can achieve a specific task. Formulated in this way the design problem is purely geometric in character. Robot manipulators, walking machines, and mechanical hands are examples of articulated mechanical systems that rely on simple mechanical constraints to provide a complex workspace for the end effector.\u003c\/p\u003e\u003cp\u003eThis new edition includes research results of the past decade on the synthesis of multiloop planar and spherical linkages, and the use of homotopy methods and Clifford algebras in the synthesis of spatial serial chains. One new chapter on the synthesis of spatial serial chains introduces the linear product decomposition of polynomial systems and polynomial continuation solutions. The second new chapter introduces the Clifford algebra formulation of the kinematics equations of serial chain robots. Examples are used throughout to demonstrate the theory.\u003c\/p\u003e\u003cp\u003e Review of First Edition: \"...I found the author had provided an excellent text that enabled me to come to terms with the subject. Readers with an interest in the area will find the volume rewarding.\" -The Mathematical Gazette (2001)\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eJ. Michael McCarthy is a Professor in the Department of Mechanical Engineering at University of California, Irvine.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 448\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.96 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 27, 2012\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486406209834,"sku":"9781461427674","price":133.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/XX-2JQvVJ49781461427674_3e00c439-8add-4118-932d-ce22aec78595.webp?v=1788545046"},{"product_id":"the-geometry-of-biological-time-paperback-1","title":"The Geometry of Biological Time - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eArthur T. Winfree\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis is an update of a classic mathematical biology book by an author who is a leader in the field. It deals with dynamics of processes that repeat themselves regularly. This cycle of change is an ubiquitous principle of organization in living systems. In this new edition the author addresses areas that have come to fruition since 1980 and also concentrates on areas which he personally feels will see much activity in future.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 779\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.6 x 10 x 7 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 01, 2010\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486406897962,"sku":"9781441931962","price":133.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/jYAj3rGjSa9781441931962_88c519d3-224e-4886-b4eb-e2b0d8712e90.webp?v=1788545047"},{"product_id":"topology-geometry-and-gauge-fields-interactions-paperback-1","title":"Topology, Geometry and Gauge Fields: Interactions - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eGregory L. Naber\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eDuring the past two decades gauge theory has been the focus of intense mathematical scrutiny. This book, together with the author's earlier book, Topology, Geometry and Gauge Fields: Foundations, Springer 1997, provides a gentle introduction to the basics of the subject with the somewhat unique feature of picking out what students need to know from both the mathematics and physics of the subject. Extensive exercises are included to encourage readers to actively participate in the material.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis volume is intended to carry on the program, initiated in Topology, Geometry, and Gauge Fields: Foundations (Springer, 2010), of exploring the interrelations between particle physics and topology that arise from their shared notion of a gauge field. The text begins with a synopsis of the geometrical background assumed of the reader (manifolds, Lie groups, bundles, connections, etc.). There follows a lengthy, and somewhat informal discussion of a number of the most basic of the classical gauge theories arising in physics, including classical electromagnetic theory and Dirac monopoles, the Klein-Gordon and Dirac equations and SU(2) Yang-Mills-Higgs theory. The real purpose here is to witness such things as spacetime manifolds, spinor structures, de Rham cohomology, and Chern classes arise of their own accord in meaningful physics. All of these are then developed rigorously in the remaining chapters. With the precise definitions in hand, one can, for example, fully identify magnetic charge and instanton number with the Chern numbers of the bundles on which the charge and instanton live, and uncover the obstruction to the existence of a spinor structure in the form of the second Stiefel-Whitney class. This second edition of the book includes, in an Appendix, a much expanded sketch of Seiberg-Witten gauge theory, including a brief discussion of its origins in physics and its implications for topology. To provide the reader with the opportunity to pause en route and join in the fun, there are 228 exercises, each an integral part of the development and each located at precisely the point at which it can be solved with optimal benefit. \u003c\/p\u003e\u003cp\u003eReviews of first edition: \u003c\/p\u003e\u003cp\u003e\"Naber's goal is not to teach a sterile course on geometry and topology, but rather to enable us to see the subject in action, through gauge theory.\" (SIAM Review)\u003c\/p\u003e\u003cp\u003e \"The presentation ... is enriched by detailed discussions about the physical interpretations of connections, their curvaturesand characteristic classes. I particularly enjoyed Chapter 2 where many fundamental physical examples are discussed at great length in a reader friendly fashion. No detail is left to the reader's imagination or interpretation. I am not aware of another source where these very important examples and ideas are presented at a level accessible to beginners.\" (Mathematical Reviews)\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eGregory L. Naber is a Professor in the Department of Mathematics at Drexel University in Philadelphia, PA.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 420\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.88 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e April 19, 2013\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486407225642,"sku":"9781461428381","price":186.63,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/gb7jzikobX9781461428381_69ef1a46-b877-4d5b-a66b-705449a8bfa7.webp?v=1788545047"},{"product_id":"hodge-theory-and-complex-algebraic-geometry-i-volume-1-paperback-1","title":"Hodge Theory and Complex Algebraic Geometry I: Volume 1 - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eClaire Voisin\u003c\/b\u003e (Author), \u003cb\u003eLeila Schneps\u003c\/b\u003e (Translator)\u003c\/p\u003e\u003cp\u003eThis is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hodge decomposition theorem. In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The second part of the book investigates the meaning of these results in several directions.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 334\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.69 x 8.94 x 6.02 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 20, 2007\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486408110378,"sku":"9780521718011","price":137.23,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/lTORhtYtCy9780521718011_0a59f7ca-7387-464a-b453-4d86359daf6f.webp?v=1788545048"},{"product_id":"introduction-to-algebraic-geometry-paperback-1","title":"Introduction to Algebraic Geometry - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eSerge Lang\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e2014 Reprint of 1958 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. This book, an introduction to the Weil-Zariski algebraic geometry, is an amplification of lectures for one of a series of courses, given by various people, going back to Zariski. Restricted to qualitative algebraic geometry, it is an admirable introduction to Weil's \"Foundations\" and, more generally, the whole of the modern literature as it existed before the advent of sheaves.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 274\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.62 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e April 30, 2014\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486408700202,"sku":"9781614276272","price":37.84,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/Hi2P6WYden9781614276272_ae80daf3-cd21-427e-a033-a8acbfc9cce6.webp?v=1788545048"},{"product_id":"geometry-and-topology-for-mesh-generation-paperback-1","title":"Geometry and Topology for Mesh Generation - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eHerbert Edelsbrunner\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis book combines mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation) in order to solve the conceptual and technical problems in the combining of elements of combinatorial and numerical algorithms. The book develops methods from areas that are amenable to combination and explains recent breakthrough solutions to meshing that fit into this category. It should be an ideal graduate text for courses on mesh generation. The specific material is selected giving preference to topics that are elementary, attractive, lend themselves to teaching, are useful, and interesting.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 190\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.35 x 8.94 x 6.06 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e January 09, 2006\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486409421098,"sku":"9780521682077","price":121.81,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/wEtyPAy8kW9780521682077_6b11331f-fff0-479e-a4a5-46c2274a988c.webp?v=1788545049"},{"product_id":"moduli-of-curves-paperback-1","title":"Moduli of Curves - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eJoe Harris\u003c\/b\u003e (Author), \u003cb\u003eIan Morrison\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis book provides a guide to a rich and fascinating subject: algebraic curves and how they vary in families. The aim has been to provide a broad but compact overview of the field which will be accessible to readers with a modest background in algebraic geometry. With over 180 exercises and 70 figures.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 369\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.7 x 9.26 x 6.15 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e July 01, 1998\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486409879850,"sku":"9780387984292","price":152.13,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/dxL8S4I73b9780387984292_774d5974-01c1-49cf-833a-62d592154fa4.webp?v=1788545050"},{"product_id":"algebraic-geometry-paperback-3","title":"Algebraic Geometry - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eSolomon Lefschetz\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts -- the analytical-topological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the formidable techniques of modern algebra. \u003cbr\u003eThe book opens with an overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field, rational transformations, and correspondences. A concentrated chapter on formal power series with applications to algebraic varieties follows. An extensive survey of algebraic curves includes places, linear series, abelian differentials, and algebraic correspondences. 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M. MacLean\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eGetting Inside the Mind of Nature\u003c\/strong\u003e Discover the simple but powerful mathematics of the underlying geometric figures that shape our world\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCan geometry be exciting?\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003eIt can for those who can appreciate the beauty of numbers and their relationships.\u003c\/p\u003e\u003cp\u003eThis book contains a meticulous geometric investigation of the 5 Platonic Solids and 5 other important polyhedra, as well as reference charts for each solid.\u003c\/p\u003e\u003cp\u003ePoly (many) hedron (face) means \"many faces.\" Polyhedra are 3 dimensional figures with 4 or more faces, or sides. These polyhedra are reflections of Nature herself, and a study of them provides insight into the way the world is structured. Nature is not only beautiful, but highly intelligent. As you explore the polyhedra in this book, this will become apparent over and over again.\u003c\/p\u003e\u003cp\u003eThe book contains a geometric explanation of the \u003cstrong\u003ePhi Ratio\u003c\/strong\u003e and \u003cstrong\u003eFibonacci series\u003c\/strong\u003e, and a detailed analysis of the pentagon, which forms the basis for many of these solids. The pentagon is composed entirely of Phi relationships, and is integral to a proper understanding of sacred geometry.\u003c\/p\u003e\u003cp\u003eWith \u003cstrong\u003eover 140 full-color illustrations\u003c\/strong\u003e, this book is perfect for teachers and students of geometry alike. It is a must for those who are serious about sacred geometry.\u003c\/p\u003e\u003cp\u003eThis book is dedicated to those who can appreciate the logic of numbers and the beauty of nature, for they are both aspects of the same unifying principle.\u003c\/p\u003e\u003cp\u003ePrerequisites: knowledge of simple algebra and elementary trigonometry. No brainiac math skills required! Only the ability to appreciate nature's own logic.\u003c\/p\u003e\u003cp\u003eBook #1 in the Geometric Explorations Series\u003c\/p\u003e\u003cp\u003eWhat's New in the Second Edition: \u003c\/p\u003e \u003cul\u003e \u003cli\u003eAn analysis of the Truncated Icosahedron (soccer ball)\u003c\/li\u003e \u003cli\u003eRewrites of several sections for greater clarity\u003c\/li\u003e \u003cli\u003eCorrection of typos from the First Edition.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eFrom Loving Healing Press (www.LovingHealing.com)\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 252\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.68 x 10 x 7 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e February 22, 2019\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486411321642,"sku":"9781615994298","price":65.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/fFl9sGqYzI9781615994298_37c772ec-1988-489a-abbd-b6040a130404.webp?v=1788545051"}],"url":"https:\/\/corporatelinguaacademy.com\/collections\/geometry-trigonometry.oembed","provider":"Corporate Lingua Academy","version":"1.0","type":"link"}