{"title":"Logic, Game Theory \u0026 Recreational Mathematics","description":"\u003cp\u003eDiscover books on mathematical logic, discrete mathematics, game theory, puzzles, problem solving, and recreational mathematics for students, educators, and curious learners. Physical books are available for delivery within the United States only.\u003c\/p\u003e","products":[{"product_id":"the-complete-lojban-language-hardcover","title":"The Complete Lojban Language - 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\u003eJohn W. Cowan\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003eThe Complete Lojban Language\u003c\/em\u003e is a complete description of the artificial language Lojban. It serves as a reference grammar for the language, offering an overview of the language, as well as linguistic details on every aspect of the language. This book serves as the standard defining the language design.\u003c\/p\u003e \u003cp\u003eThough this description may sound imposing, technical and formal, the book is written in a light, often humorous style that teaches the reader about the Lojban language, about logic, and about linguistics in general.\u003c\/p\u003e \u003cp\u003eLojban is a version of \u003cem\u003eLoglan\u003c\/em\u003e, the artificial language project described in the June 1960 Scientific American article of that name. \"Loglan\" was also referred to by name in Robert Heinlein's classic novel \u003cstrong\u003eThe Moon is a Harsh Mistress\u003c\/strong\u003e, as well as in other novels.\u003c\/p\u003e \u003cp\u003eLoglan\/Lojban is a language designed for several purposes, including linguistics research (especially involving a proposed test of the Sapir\/Whorf hypothesis), foreign language instruction, artificial intelligence research, machine translation and related human\/computer interaction applications, and as a stimulating educational and entertaining mental exercise. A few people are interested in Lojban as a prospective international auxiliary language. An international community of aficionados has appeared, writing in and about the language, primarily on the Internet.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 586\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.25 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e April 13, 2016\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52469432975658,"sku":"9780966028324","price":97.72,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/5u4hjs22Fg9780966028324.webp?v=1788445854"},{"product_id":"how-to-do-things-with-words-paperback","title":"How to Do Things with Words - 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. L. Austin\u003c\/b\u003e (Author), \u003cb\u003eJ. O. Urmson\u003c\/b\u003e (Editor)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eJohn L. Austin was a British philosopher of language and leading proponent of ordinary language philosophy, perhaps best known for developing the theory of speech acts. Austin pointed out that we use language to \u003cem\u003edo\u003c\/em\u003e things as well as to \u003cem\u003eassert\u003c\/em\u003e things, and that the utterance of a statement like \"I promise to do so-and-so\" is best understood as \u003cem\u003edoing\u003c\/em\u003e something - \u003cem\u003emaking a promise\u003c\/em\u003e - rather than making an assertion about anything. Hence the name of one of his best-known works \u003cem\u003eHow to Do Things with Words\u003c\/em\u003e. Austin, in providing his theory of speech acts, makes a significant challenge to the philosophy of language, far beyond merely elucidating a class of morphological sentence forms that function to do what they name. Austin's work ultimately suggests that all speech and all utterance is the doing of something with words and signs, challenging a metaphysics of language that would posit denotative, propositional assertion as the essence of language and meaning.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 174\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.4 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e January 11, 2023\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52469443985706,"sku":"9781773239668","price":23.05,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/0lVTiz0JCT9781773239668.webp?v=1788446175"},{"product_id":"an-introduction-to-stability-theory-paperback-1","title":"An Introduction to Stability Theory - 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\u003eAnand Pillay\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications. Full of examples, theorems, propositions, and problems, it is suitable for graduate students in logic and mathematics, professional mathematicians, and computer scientists. Chapter 1 introduces the notions of definable type, heir, and coheir. A discussion of stability and order follows, along with definitions of forking that follow the approach of Lascar and Poizat, plus a consideration of forking and the definability of types. Subsequent chapters examine superstability, dividing and ranks, the relation between types and sets of indiscernibles, and further properties of stable theories. The text concludes with proofs of the theorems of Morley and Baldwin-Lachlan and an extension of dimension theory that incorporates orthogonality of types in addition to regular types.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 160\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.4 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e November 24, 2008\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486378422570,"sku":"9780486468969","price":21.46,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/g5lNS3mr149780486468969_db85c904-c558-424e-8a5f-c368ea00dd43.webp?v=1788545018"},{"product_id":"logic-with-a-probability-semantics-including-solutions-to-some-philosophical-problems-hardcover-1","title":"Logic with a Probability Semantics: Including Solutions to Some Philosophical Problems - 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\u003eTheodore Hailperin\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe present study is an extension of the topic introduced in Dr. Hailperin's Sentential Probability Logic, where the usual true-false semantics for logic is replaced with one based more on probability, and where values ranging from 0 to 1 are subject to probability axioms. Moreover, as the word \"sentential\" in the title of that work indicates, the language there under consideration was limited to sentences constructed from atomic (not inner logical components) sentences, by use of sentential connectives (\"no,\" \"and,\" \"or,\" etc.) but not including quantifiers (\"for all,\" \"there is\"). \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eAn initial introduction presents an overview of the book. In chapter one, Halperin presents a summary of results from his earlier book, some of which extends into this work. It also contains a novel treatment of the problem of combining evidence: how does one combine two items of interest for a conclusion-each of which separately impart a probability for the conclusion-so as to have a probability for the conclusion based on taking both of the two items of interest as evidence? \u003cp\u003e\u003c\/p\u003eChapter two enlarges the Probability Logic from the first chapter in two respects: the language now includes quantifiers (\"for all,\" and \"there is\") whose variables range over atomic sentences, not entities as with standard quantifier logic. (Hence its designation: ontological neutral logic.) A set of axioms for this logic is presented. A new sentential notion--the suppositional--in essence due to Thomas Bayes, is adjoined to this logic that later becomes the basis for creating a conditional probability logic. \u003cp\u003e\u003c\/p\u003eChapter three opens with a set of four postulates for probability on ontologically neutral quantifier language. Many properties are derived and a fundamental theorem is proved, namely, for any probability model (assignment of probability values to all atomic sentences of the language) there will be a unique extension of the probability values to all closed sentences of the language.\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003eTheodore Hailperin\u003c\/b\u003e is emeritus professor of mathematics at Lehigh University. He has also worked as an aerodynamic ballistician at the Ballistics Research Laboratory in Aberdeen, MD.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 126\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.6 x 9.1 x 6.1 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 16, 2010\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486378160426,"sku":"9781611460100","price":179.37,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/Ui5m024j0F9781611460100_8d983b3e-9f28-4df8-b025-45e0e527d5d5.webp?v=1788545018"},{"product_id":"the-killer-sudoku-yes-its-too-hard-for-you-large-print-sudoku-puzzles-paperback-1","title":"The Killer Sudoku! Yes, It's Too Hard for You! Large Print Sudoku Puzzles - 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\u003ePuzzle Therapist\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis book wouldn't be called The Killer Sudoku for nothing, so only buy this book if you are ready for some really good brain-busting time. Sudoku is perfect for \"me time\" because it allows you to test yourself many times over. Benefits to solving these puzzles range from brain stimulation to improved logic and memory. Secure a copy today!\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 82\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.17 x 11 x 8.5 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 20, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486378488106,"sku":"9781541941984","price":26.33,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/n8GFW6ZBYi9781541941984_c17e07bd-d70e-457d-bde1-ea3952719a88.webp?v=1788545019"},{"product_id":"insights-into-game-theory-paperback-1","title":"Insights into Game Theory - 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\u003eEin-Ya Gura\u003c\/b\u003e (Author), \u003cb\u003eMichael Maschler\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eFew branches of mathematics have been more influential in the social sciences than game theory. In recent years, it has become an essential tool for all social scientists studying the strategic behaviour of competing individuals, firms and countries. However, the mathematical complexity of game theory is often very intimidating for students who have only a basic understanding of mathematics. Insights into Game Theory addresses this problem by providing students with an understanding of the key concepts and ideas of game theory without using formal mathematical notation. The authors use four very different topics (college admission, social justice and majority voting, coalitions and co-operative games, and a bankruptcy problem from the Talmud) to investigate four areas of game theory. The result is a fascinating introduction to the world of game theory and its increasingly important role in the social sciences.\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 0.6 x 8.9 x 5.9 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 November 13, 2008\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486379831594,"sku":"9780521696920","price":80.68,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/cHJBrdf7yS9780521696920_5df29d44-6982-4c6b-911c-45e389e9a778.webp?v=1788545020"},{"product_id":"logic-for-mathematicians-paperback-1","title":"Logic for Mathematicians - 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. Barkley Jr. Rosser\u003c\/b\u003e (Author), \u003cb\u003eMathematics\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eExamination of essential topics and theorems assumes no background in logic. \"Undoubtedly a major addition to the literature of mathematical logic.\" - Bulletin of the American Mathematical Society. 1978 edition.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 590\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.2 x 9.1 x 6.1 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 18, 2008\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486379995434,"sku":"9780486468983","price":43.23,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/AUHBYtR1Gl9780486468983_b85d52f0-6989-449b-bf43-afe106dca859.webp?v=1788545020"},{"product_id":"the-original-sudoku-and-puzzle-books-for-adults-200-easy-puzzles-for-beginners-paperback-1","title":"The Original Sudoku and Puzzle Books for Adults 200+ Easy Puzzles for Beginners - 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\u003eSpeedy Publishing\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eDid you know that Sudoku puzzles are excellent stress relievers for solvers of all ages? That's because the instructions remain the same so you spend more time solving than decoding how to play. If you've never played before, start with the easy puzzles and then slowly progress to the more advanced levels. Play today.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 144\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.31 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 20, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486380323114,"sku":"9781541942066","price":26.33,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/3ceb2ow01V9781541942066_ebdf22e4-4291-4b7d-9013-ec004adb879d.webp?v=1788545021"},{"product_id":"the-ultimate-crossword-puzzle-hard-exercises-for-adults-with-45-puzzles-paperback-1","title":"The Ultimate Crossword Puzzle Hard Exercises for Adults (with 45 puzzles!) - 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\u003ePuzzle Therapist\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eDo you know what collaborative cruciverbalism is? It is the ability to think in a creative and strategic manner. Collaborative cruciverbalism is an advantage that can be attained by playing crossword puzzles. Brain consuming activities will help you improve your problem solving and verbal skills. Improve your brain power. Play puzzles today!\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 118\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.25 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 01, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486381502762,"sku":"9781541943162","price":25.12,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/UZU0rAa26c9781541943162_4a4dd4a3-aa6e-4a9c-90c9-b8984c2b6df1.webp?v=1788545022"},{"product_id":"symbolic-logic-hardcover-1","title":"Symbolic Logic - 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\u003eJohn Venn\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. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.\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\u003eAs a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars 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 494\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\u003ePublication Date:\u003c\/strong\u003e February 10, 2018\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486382027050,"sku":"9781340385767","price":71.43,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/dg7bDgNBRq9781340385767_70c45905-412f-4950-8458-8388dff71977.webp?v=1788545022"},{"product_id":"the-world-solvers-crossword-puzzle-books-86-puzzles-for-brain-help-paperback-1","title":"The World Solver's Crossword Puzzle Books 86 Puzzles for Brain Help - 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\u003ePuzzle Therapist\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eSolving crossword puzzles should be made a hobby if you're after mental improvement and development. The game comes with many benefits, like improved general knowledge and vocabulary. It also teaches life skills such as patience, determination, self-reliance and confidence. If you share the game with others, it teaches about communication and shared experiences. Grab a copy today.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 220\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.46 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 01, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486382747946,"sku":"9781541943209","price":29.96,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/LspMson5xa9781541943209_5b3a17aa-0142-4259-b736-9f45cae7363c.webp?v=1788545023"},{"product_id":"number-mysteries-paperback-1","title":"Number Mysteries - 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\u003eEvery time we download music, take a flight across the Atlantic or talk on our cell phones, we are relying on great mathematical inventions. In\u003ci\u003e The Number Mysteries\u003c\/i\u003e, one of our generation's foremost mathematicians Marcus du Sautoy offers a playful and accessible examination of numbers and how, despite efforts of the greatest minds, the most fundamental puzzles of nature remain unsolved. Du Sautoy tells about the quest to predict the future--from the flight of asteroids to an impending storm, from bending a ball like Beckham to forecasting population growth. He brings to life the beauty behind five mathematical puzzles that have contributed to our understanding of the world around us and have helped develop the technology to cope with it. With loads of games to play and puzzles to solve, this is a math book for everyone.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eMarcus du Sautoy\u003c\/b\u003e is a professor of mathematics at the University of Oxford and currently holds the same chair that Richard Dawkins once did. He is active in reaching out the public, speaking at TED Conferences, writing for \u003ci\u003eThe Times\u003c\/i\u003e (London) and \u003ci\u003eThe Guardian, \u003c\/i\u003e and has appeared in specials on both BBC and PBS. He is the author of \u003ci\u003eThe Music of the Primes\u003c\/i\u003e and \u003ci\u003eSymmetry: A Journey into the Patterns of Nature\u003c\/i\u003e. 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Verification Principles: 11th International Symposium, Isola 2022, Rhodes, Gre - 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\u003eTiziana Margaria\u003c\/b\u003e (Editor), \u003cb\u003eBernhard Steffen\u003c\/b\u003e (Editor)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis four-volume set LNCS 13701-13704 constitutes contributions of the associated events held at the 11th International Symposium on Leveraging Applications of Formal Methods, ISoLA 2022, which took place in Rhodes, Greece, in October\/November 2022. \u003c\/p\u003e\u003cp\u003eThe contributions in the four-volume set are organized according to the following topical sections: specify this - bridging gaps between program specification paradigms; x-by-construction meets runtime verification; verification and validation of concurrent and distributed heterogeneous systems; programming - what is next: the role of documentation; automated software re-engineering; DIME day; rigorous engineering of collective adaptive systems; formal methods meet machine learning; digital twin engineering; digital thread in smart manufacturing; formal methods for distributed computing in future railway systems; industrial day.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 598\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.24 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 20, 2022\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486383272234,"sku":"9783031198489","price":188.42,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/PQpKdHtplD9783031198489_c6ddf837-371e-4d7b-9dc8-e4ef3282b6b5.webp?v=1788545024"},{"product_id":"computability-and-logic-paperback-1","title":"Computability and Logic - 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\u003eGeorge Boolos\u003c\/b\u003e (Author), \u003cb\u003eJohn P. Burgess\u003c\/b\u003e (Author), \u003cb\u003eRichard C. Jeffrey\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eComputability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a new and simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 366\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.75 x 9.95 x 7.09 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, 2007\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486383632682,"sku":"9780521701464","price":82.4,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/A2WDrDdYCz9780521701464_e5e4c046-fd5e-47ec-a1ea-2a62b837cb7e.webp?v=1788545024"},{"product_id":"mathematical-logic-an-introduction-paperback-1","title":"Mathematical Logic: An Introduction - 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\u003eDaniel Cunningham\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003eMathematical Logic: An Introduction\u003c\/em\u003e is a textbook that uses mathematical tools to \u003c\/p\u003e \u003cp\u003einvestigate mathematics itself. In particular, the concepts of proof and truth are examined. \u003c\/p\u003e \u003cp\u003eThe book presents the fundamental topics in mathematical logic and presents clear and \u003c\/p\u003e \u003cp\u003ecomplete proofs throughout the text. Such proofs are used to develop the language of \u003c\/p\u003e \u003cp\u003epropositional logic and the language of first-order logic, including the notion of a formal \u003c\/p\u003e \u003cp\u003ededuction. The text also covers Tarski's definition of truth and the computability concept. \u003c\/p\u003e \u003cp\u003eIt also provides coherent proofs of Godel's completeness and incompleteness theorems. \u003c\/p\u003e \u003cp\u003eMoreover, the text was written with the student in mind and thus, it provides an accessible \u003c\/p\u003e \u003cp\u003eintroduction to mathematical logic. In particular, the text explicitly shows the reader \u003c\/p\u003e \u003cp\u003ehow to prove the basic theorems and presents detailed proofs throughout the book. Most \u003c\/p\u003e \u003cp\u003eundergraduate books on mathematical logic are written for a reader who is well-versed \u003c\/p\u003e \u003cp\u003ein logical notation and mathematical proof. This textbook is written to attract a wider \u003c\/p\u003e \u003cp\u003eaudience, including students who are not yet experts in the art of mathematical proof. \u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eDaniel W. Cunningham is a Professor Emeritus of Mathematics at SUNY Buffalo State, a \u003c\/p\u003e \u003cp\u003ecampus of the State University of New York. Daniel received a Ph.D. in Mathematics from \u003c\/p\u003e \u003cp\u003eUCLA, specializing in mathematical logic. He currently teaches at California State University \u003c\/p\u003e \u003cp\u003eat Fresno. Cunningham's research focus is in set theory, and has recently published \u003c\/p\u003e \u003cp\u003etwo research papers and two textbooks \u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 270\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.9 x 9.4 x 6.7 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e June 02, 2023\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486383862058,"sku":"9783110782011","price":136.4,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/MJajp37IMN9783110782011_eb9bf28e-26ff-4ea3-b073-2bac98421fc0.webp?v=1788545024"},{"product_id":"choice-theory-a-simple-introduction-paperback-1","title":"Choice Theory: A Simple Introduction - 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\u003eK. H. Erickson\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eChoice Theory: A Simple Introduction offers an accessible guide to the central theories and methods of choice theory, with examples and calculations, empirical evidence, and over 20 diagrams to support the analysis.\u003c\/p\u003e\u003cbr\u003e\u003cp\u003eExamine expected value theory, with the two envelopes problem and St. Petersburg paradox which challenge it. 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Because crossword puzzles provide efficient entertainment to pass time. On top of that, solving involves racking the brain and using logic and creativity. This translates to improved mental activity and general knowledge. So what are you waiting for? Give grandma a copy of this book today!\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 220\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.46 x 11 x 8.5 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 01, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486384058666,"sku":"9781541943261","price":34.8,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/BfEFOhdFIC9781541943261_241708fa-1008-4181-81e4-0b26dabeacd5.webp?v=1788545025"},{"product_id":"discrete-mathematics-for-computing-paperback-1","title":"Discrete Mathematics for Computing - 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 Grossman\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eDiscrete Mathematics for Computing\u003c\/i\u003e presents the essential mathematics needed for the study of computing and information systems. The subject is covered in a gentle and informal style, but without compromising the need for correct methodology. It is perfect for students with a limited background in mathematics. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThis new edition includes: \u003cbr\u003e- An expanded section on encryption\u003cbr\u003e- Additional examples of the ways in which theory can be applied to problems in computing\u003cbr\u003e- Many more exercises covering a range of levels, from the basic to the more advanced \u003cp\u003e\u003c\/p\u003eThis book is ideal for students taking a one-semester introductory course in discrete mathematics - particularly for first year undergraduates studying Computing and Information Systems. \u003cp\u003e\u003c\/p\u003ePETER GROSSMAN has worked in both academic and industrial roles as a mathematician and computing professional. As a lecturer in mathematics, he was responsible for coordinating and developing mathematics courses for Computing students. He has also applied his skills in areas as diverse as calculator design, irrigation systems and underground mine layouts. He lives and works in Melbourne, Australia.\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003cbr\u003e\u003cem\u003eDiscrete Mathematics for Computing\u003c\/em\u003e presents the essential mathematics needed for the study of computing and information systems. The subject is covered in a gentle and informal style, but without compromising the need for correct methodology. It is perfect for students with a limited background in mathematics. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThis new edition includes: \u003cp\u003e\u003c\/p\u003e- An expanded section on encryption\u003cbr\u003e- Additional examples of the ways in which theory can be applied to problems in computing\u003cbr\u003e- Many more exercises covering a range of levels, from the basic to the more advanced \u003cp\u003e\u003c\/p\u003eThis book is ideal for students taking a one-semester introductory course in discrete mathematics - particularly for first year undergraduates studying Computing and Information Systems. \u003cp\u003e\u003c\/p\u003ePETER GROSSMAN has worked in both academic and industrial roles as a mathematician and computing professional. As a lecturer in mathematics, he was responsible for coordinating and developing mathematics courses for Computing students. He has also applied his skills in areas as diverse as calculator design, irrigation systems and underground mine layouts. He lives and works in Melbourne, Australia.\u003cbr\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003ePETER GROSSMAN has worked in both academic and industrial roles as a mathematician and computing professional. As a lecturer in mathematics, he was responsible for coordinating and developing of mathematics courses for Computer Science students. He is based in Australia and currently works in industry, in the areas of mathematical modelling and software development.\u003cbr\u003ePETER GROSSMAN has worked in both academic and industrial roles as a mathematician and computing professional. As a lecturer in mathematics, he was responsible for coordinating and developing of mathematics courses for Computer Science students. He is based in Australia and currently works in industry, in the areas of mathematical modelling and software development.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 328\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.72 x 9.82 x 7.47 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 16, 2008\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486384419114,"sku":"9780230216112","price":198.42,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/uAOz0WIp6z9780230216112_35af90f0-59e4-4557-ac2c-08d8d163dd43.webp?v=1788545025"},{"product_id":"an-introduction-to-formal-language-theory-paperback-1","title":"An Introduction to Formal Language Theory - 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 Pustejovsky\u003c\/b\u003e , \u003cb\u003eRobert N. Moll\u003c\/b\u003e (Author), \u003cb\u003eMichael A. Arbib\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThe study of formal languages and of related families of automata has long been at the core of theoretical computer science. Until recently, the main reasons for this centrality were connected with the specification and analy- sis of programming languages, which led naturally to the following ques- tions. How might a grammar be written for such a language? How could we check whether a text were or were not a well-formed program generated by that grammar? How could we parse a program to provide the structural analysis needed by a compiler? How could we check for ambiguity to en- sure that a program has a unique analysis to be passed to the computer? This focus on programming languages has now been broadened by the in- creasing concern of computer scientists with designing interfaces which allow humans to communicate with computers in a natural language, at least concerning problems in some well-delimited domain of discourse. The necessary work in computational linguistics draws on studies both within linguistics (the analysis of human languages) and within artificial intelligence. The present volume is the first textbook to combine the topics of formal language theory traditionally taught in the context of program- ming languages with an introduction to issues in computational linguistics. 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Then here's the Sudoku that will entertain you without straining your eyes! Sudoku in large print will help boost your confidence and allow you to go as fast or slow as you wish, enjoying each puzzle as you go. 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H. Erickson\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eGame Theory for Business: A Simple Introduction offers an accessible guide to the central ideas and methods of business game theory, with over 35 diagrams to support the analysis.\u003c\/p\u003e\u003cbr\u003e\u003cp\u003eUnderstand a business's role, goals and incentives. Examine adverse selection, moral hazard, and a bait and switch strategy, see how a firm may secure long-run gains, and learn what the show business industry can teach other businesses.\u003c\/p\u003e\u003cbr\u003e\u003cp\u003eEvaluate duopoly price competition, prospects for collusion, and industry entry deterrence using credible commitments and asymmetric information. 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This uniquely challenging Sudoku puzzle book will test your numeric know-how as much as it will your patience. It's okay if it'll take you some time to complete each puzzle because the important thing is, you will not quit. Hard Sudoku puzzles are highly effective in stimulating your brain and keeping it in good health. 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Solving crossword puzzles entails racking your brain, and that allows you to think clearly. You begin to see and understand patterns. If keep you at it, you will soon be able to understand the patterns of life. 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Bressoud\u003c\/b\u003e (Author), \u003cb\u003eWilliam Watkins\u003c\/b\u003e (Editor), \u003cb\u003eGerald L. Alexanderson\u003c\/b\u003e (Editor)\u003c\/p\u003e\u003cp\u003eThis introduction to recent developments in algebraic combinatorics illustrates how research in mathematics actually progresses. The author recounts the dramatic search for and discovery of a proof of a counting formula conjectured in the late 1970s: the number of n x n alternating sign matrices, objects that generalize permutation matrices. While it was apparent that the conjecture must be true, the proof was elusive. As a result, researchers became drawn to this problem and made connections to aspects of the invariant theory of Jacobi, Sylvester, Cayley, MacMahon, Schur, and Young; to partitions and plane partitions; to symmetric functions; to hypergeometric and basic hypergeometric series; and, finally, to the six-vertex model of statistical mechanics. This volume is accessible to anyone with a knowledge of linear algebra, and it includes extensive exercises and Mathematica programs to help facilitate personal exploration. 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V. Quine\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e2014 Reprint of Original 1941 Edition. Exact facsimile of the original edition, not reproduced with Optical Recognition Software. W. V. Quine's \"Elementary Logic\", despite its brevity, is notable for its scope and rigor. It provides a single strand of simple techniques for the central business of modern logic. Basic formal concepts are explained, the paraphrasing of words into symbols is treated at some length, and a testing procedure is given for truth-function logic along with a complete proof procedure for the logic of quantifiers. 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You have 70 crossword puzzles to practice in this book. These are easy drills that aim to get you \"in the mood\" for learning. Working thinking drills regularly (once a week) will help improve mental activity. This is especially beneficial to patients with brain damage, Alzheimer's and Dementia. Secure a copy today!\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 180\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.38 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 01, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486389465386,"sku":"9781541943353","price":28.75,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/ncjvo6nNA29781541943353_a01c8f18-2644-4aae-8111-77d3348e7d9f.webp?v=1788545030"},{"product_id":"dynamic-programming-paperback-1","title":"Dynamic Programming - 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 Bellman\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eAn introduction to the mathematical theory of multistage decision processes, this text takes a \"functional equation\" approach to the discovery of optimum policies. Written by a leading developer of such policies, it presents a series of methods, uniqueness and existence theorems, and examples for solving the relevant equations. The text examines existence and uniqueness theorems, the optimal inventory equation, bottleneck problems in multistage production processes, a new formalism in the calculus of variation, strategies behind multistage games, and Markovian decision processes. Each chapter concludes with a problem set that Eric V. Denardo of Yale University, in his informative new introduction, calls \"a rich lode of applications and research topics.\" 1957 edition. 37 figures.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eThe Dawn of Dynamic Programming \u003cbr\u003e\u003c\/b\u003eRichard E. Bellman (1920-1984) is best known for the invention of dynamic programming in the 1950s. During his amazingly prolific career, based primarily at The University of Southern California, he published 39 books (several of which were reprinted by Dover, including \u003ci\u003eDynamic Programming, \u003c\/i\u003e 42809-5, 2003) and 619 papers. Despite battling the crippling effects of a brain injury, he still published 100 papers during the last eleven years of his life. He was a frequent informal advisor to Dover during the 1960s and 1970s. \u003c\/p\u003e\u003cp\u003eProfessor Bellman was awarded the IEEE Medal of Honor in 1979 \"for contributions to decision processes and control system theory, particularly the creation and application of dynamic programming.\" The IEEE citation continued: \"Richard Bellman is a towering figure among the contributors to modern control theory and systems analysis. His invention of dynamic programming marked the beginning of a new era in the analysis and optimization of large-scale systems and opened a way for the application of sophisticated computer-oriented techniques in a wide variety of problem areas ranging from the design of guidance systems for space vehicles to pest control and network optimization.\" \u003c\/p\u003e\u003cp\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e\u003cp\u003eIn the Author's Own Words: \u003cbr\u003e\"There are many questions that are difficult to answer, but hardly worth asking. The well-trained mathematician does not measure the value of a problem solely by its intractability. The challenge is there, but even very small boys do not accept all dares.\" \u003c\/p\u003e\u003cp\u003e\"Scientific developments can always be made logical and rational with sufficient hindsight. It is amazing, however, how clouded the crystal ball looks beforehand. We all wear such intellectual blinders and make such inexplicable blunders that it is amazing that any progress is made at all.\" -- Richard Bellman\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 0.75 x 8.62 x 5.36 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 04, 2003\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486389596458,"sku":"9780486428093","price":34.76,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/XxpWScHlMt9780486428093_b5d17bb2-e8d2-4547-b387-68e24526d551.webp?v=1788545030"},{"product_id":"intro-to-many-valued-fuzzy-logic-paperback-1","title":"Intro to Many-Valued \u0026 Fuzzy Logic - 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\u003eMerrie Bergmann\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis volume is an accessible introduction to the subject of many-valued and fuzzy logic suitable for use in relevant advanced undergraduate and graduate courses. The text opens with a discussion of the philosophical issues that give rise to fuzzy logic - problems arising from vague language - and returns to those issues as logical systems are presented. For historical and pedagogical reasons, three-valued logical systems are presented as useful intermediate systems for studying the principles and theory behind fuzzy logic.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 342\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.61 x 9.98 x 7.06 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e January 14, 2008\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486389793066,"sku":"9780521707572","price":160.22,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/daL_pUHNAT9780521707572_5949d6c9-dbba-4ca7-b9be-db4763793788.webp?v=1788545030"},{"product_id":"braintrust-mastermind-puzzles-sudoku-expert-edition-paperback-1","title":"Braintrust Mastermind Puzzles: Sudoku Expert Edition - 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\u003ePuzzle Pulse\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eKeep your brain healthy and sharp with Sudoku. You can have a \"master mind\" if you incorporate brain games into your weekly routine. The American Alzheimer's Association believes that solving Sudoku might help reduce the risk of Alzheimer's Disease. That's an advantage you wouldn't want to miss. Start solving Sudoku puzzles today!\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 140\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.3 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e February 15, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486389924138,"sku":"9780228206460","price":26.33,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/T43BvT5Svw9780228206460_05c25384-2378-49cc-96ef-a24015b69fe2.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":"the-big-book-of-crossword-fill-in-books-for-adults-easy-large-print-edition-paperback-1","title":"The Big Book of Crossword Fill in Books for Adults Easy Large Print Edition - 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\u003ePuzzle Therapist\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eImprove your verbal skills with the help of easy crossword puzzles for adults. You will still be learning new words even if you can't finish a puzzle in one sitting. You will try to figure out what different words mean as you try to solve the clues that you know. If you're new to the game, then this is the puzzle book to have.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 220\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.46 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 01, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486390808874,"sku":"9781541943377","price":29.96,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/rrviMruT6z9781541943377_94e670ab-0637-4f52-bfa1-2748c766a79f.webp?v=1788545031"},{"product_id":"put-on-your-thinking-cap-puzzles-sudoku-for-adults-edition-paperback-1","title":"Put On Your Thinking Cap! Puzzles: Sudoku for Adults Edition - 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\u003ePuzzle Pulse\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eIf you like, or need to think, do Sudoku. Sudoku is a no-shortcut game, which means that you cannot Google your answers because there are no written cues. You will have to put your thinking cap on to spot the patterns, identify the numbers that are there and determine the numbers that are not there. Do you think you can do that in record time? Find out today!\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 140\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.3 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e February 15, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486391234858,"sku":"9780228206484","price":26.33,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/2dCDb-Al0m9780228206484_425ca4af-bae5-4f7d-a9b5-fe8d1c940179.webp?v=1788545032"},{"product_id":"introduction-to-logic-paperback-1","title":"Introduction to Logic - 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\u003ePatrick Suppes\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis well-organized book was designed to introduce students to a way of thinking that encourages precision and accuracy. As the text for a course in modern logic, it familiarizes readers with a complete theory of logical inference and its specific applications to mathematics and the empirical sciences. \u003cbr\u003ePart I deals with formal principles of inference and definition, including a detailed attempt to relate the formal theory of inference to the standard informal proofs common throughout mathematics. An in-depth exploration of elementary intuitive set theory constitutes Part II, with separate chapters on sets, relations, and functions. The final section deals with the set-theoretical foundations of the axiomatic method and contains, in both the discussion and exercises, numerous examples of axiomatically formulated theories. Topics range from the theory of groups and the algebra of the real numbers to elementary probability theory, classical particle mechanics, and the theory of measurement of sensation intensities. \u003cbr\u003eIdeally suited for undergraduate courses, this text requires no background in mathematics or philosophy.\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 0.62 x 8.48 x 5.41 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e January 26, 1999\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486392021290,"sku":"9780486406879","price":18.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/kFvrolon5N9780486406879_e5862a58-d6f7-41a1-96f5-f571d67c2fae.webp?v=1788545032"},{"product_id":"grandpa-got-hooked-crossword-puzzles-for-dementia-patients-fill-in-books-with-70-drills-paperback-1","title":"Grandpa Got Hooked! Crossword Puzzles for Dementia Patients Fill in Books with 70 Drills - 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\u003ePuzzle Therapist\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eWould you like to help grandpa in his fight against dementia? Then work with him in solving these puzzles. Solving crossword puzzles will help improve your chances against dementia because they keep your brain sharp as they age. Experts recommend picking up the crossword puzzle habit as soon as possible to help stave off dementia. Grab a copy now.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 180\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.38 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 01, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486392119594,"sku":"9781541943384","price":28.75,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/OkGuRbGFnI9781541943384_8b6ef046-acfd-4eae-8cc2-aedeb1374ceb.webp?v=1788545032"},{"product_id":"the-mathematics-of-logic-paperback-1","title":"The Mathematics of Logic - 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 W. Kaye\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theoretical results. The reader is taken on a journey starting with König's Lemma, and progressing via order relations, Zorn's Lemma, Boolean algebras, and propositional logic, to completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model theory and nonstandard analysis.\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 0.4 x 8.8 x 5.9 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e July 12, 2007\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486392217898,"sku":"9780521708777","price":125.24,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/7c3LLhmigM9780521708777_78bf5e8e-9c6b-477e-a51d-18a92baab8b2.webp?v=1788545032"},{"product_id":"hard-harder-and-hardest-puzzles-sudoku-hard-to-extreme-edition-paperback-1","title":"Hard, Harder and Hardest Puzzles: Sudoku Hard To Extreme Edition - 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\u003ePuzzle Pulse\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThe puzzles in this book will only get more challenging the longer you play. A progressive game will push you outside of your comfort zone. You grow better when you're tested, and that means mental development. You will notice that your logical thinking and creativity will improve, as manifested by the speed of solving. Get a copy today!\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 140\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.3 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e February 15, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486393594154,"sku":"9780228206569","price":26.33,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/YB390k7WQY9780228206569_9913d6c5-8dbb-4e29-90cc-804b00907fd6.webp?v=1788545033"},{"product_id":"the-heavy-book-of-crossword-large-print-for-heavyweight-thinkers-with-172-puzzles-paperback-1","title":"The Heavy Book of Crossword Large Print for Heavyweight Thinkers (with 172 Puzzles) - 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\u003ePuzzle Therapist\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eTrigger bonding by solving this book of crossword puzzles as a group. When you work as a group, you learn to communicate and to cooperate. You will notice an improvement in your speed of thinking and talking. You will also get the chance to assess the strengths and weaknesses of all members of the group, including your own. Play puzzles today!\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 220\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.46 x 11 x 8.5 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 01, 2017\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486393954602,"sku":"9781541943414","price":34.8,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/ZzC0naLB2J9781541943414_8eef3e93-dfca-46d9-8ea5-a0731f8db18c.webp?v=1788545034"},{"product_id":"brain-melt-and-freeze-puzzle-challenge-sudoku-hardest-edition-paperback-1","title":"Brain Melt and Freeze Puzzle Challenge: Sudoku Hardest Edition - 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\u003ePuzzle Pulse\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eIt's funny how a Sudoku puzzle can cause two adverse brain reactions. First, your brain will \"freeze\" as you try to figure out what the pattern is. But once you've done that, your brain will \"melt\" as answers pour out and fill in the boxes. Do you want to experience how that goes? 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Then you best add this book of easy puzzles to your collection! Crosswords are mind exercises that boost your general knowledge and word skills. You will encounter new lessons every time you turn a page to solve a puzzle. There are many other reasons to love crosswords. 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He is a fellow of the American Academy of Arts and Sciences, and a corresponding fellow of the British Academy.\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 0.78 x 8.6 x 5.84 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 20, 2022\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52486395560234,"sku":"9780197647035","price":79.76,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/BhogN79BCV9780197647035_27e3289b-079f-4282-acac-5e28916b4d27.webp?v=1788545035"},{"product_id":"the-foundations-of-mathematics-and-other-logical-essays-paperback-1","title":"The Foundations of Mathematics and Other Logical Essays - 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\u003eFrank Plumpton Ramsey\u003c\/b\u003e (Author), \u003cb\u003eR. B. Braithwaite\u003c\/b\u003e (Editor)\u003c\/p\u003e\u003cp\u003e2013 Reprint of 1931 edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Frank Plumpton Ramsey (1903-1930) was a British mathematician who also made significant and precocious contributions in philosophy and economics before his death at the age of 26. He was a close friend of Ludwig Wittgenstein, and was instrumental in translating Wittgenstein's \"Tractatus Logico-Philosophicus\" into English, and in persuading Wittgenstein to return to philosophy and to Cambridge. This volume collects Ramsey's most important papers. 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Epstein\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis series of books is meant to present the fundamentals of reasoning well in a clear manner accessible to both scholars and students. The body of each essay gives the main development of the subject, while the footnotes and appendices place the research within a larger scholarly context. The topic of this volume is the nature and evaluation of reasoning in science and mathematics. Science and mathematics can both be understood as proceeding by a method of abstraction from experience. Mathematics is distinguished from other sciences only in its greater abstraction and its demand for necessity in its inferences. That methodology of abstraction is the main focus here. The study of these subjects is not just of academic interest. First comes clear thinking, then comes clear research and clear writing. 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That is why it will be more efficient to break it down into components, and then learn them one at a time. This book discusses place value and number series through examples more than texts. The layout allows a child to understand through experience, and not just by sifting through words. 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