{"product_id":"applied-set-theory-foundations-and-practice-for-computing-data-and-engineering-paperback","title":"Applied Set Theory: Foundations and Practice for Computing, Data, and Engineering - Paperback","description":"\u003cp\u003eby \u003cb\u003eDmitry Vostokov\u003c\/b\u003e (Concept by), \u003cb\u003eDmitry Vostokov\u003c\/b\u003e (Editorial Coordination by)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis pocket-size book introduces set theory and its applications to computing, data, and engineering. We start with basic concepts such as membership, equality, subsets, relations, and functions. We then consider equivalence, order, cardinality, induction, and recursion. We also discuss infinite sets and the axioms of set theory, along with their consequences for representation and computation.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe applications include Boolean logic, relational databases, programming collections and types, formal specification with Z, B, and Alloy, combinatorial counting, probability, and graphs. The same mathematical concepts apply across contexts. For example, the distinction between sets and multisets helps explain how SQL handles duplicates. Relations model dependencies and connectivity. Different independence assumptions lead to different conclusions about collision probabilities. We also consider fuzzy sets, rough sets, and multisets as generalizations that require separate examination of their operations and laws.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eWe use definitions, theorems, and worked examples throughout. We pay particular attention to the assumptions behind mathematical results and the differences between abstract models and their software implementations.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe book is intended for software developers, data analysts, engineers, and students interested in the mathematical foundations of their work. A notation reference, an annotated bibliography, and an index are included for further study and practical reference.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 210\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.57 x 6 x 4 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 16, 2026\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":53384663531818,"sku":"9781919135021","price":39.26,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1016\/7910\/4298\/files\/oWo2XFNH_79781919135021.webp?v=1793336197","url":"https:\/\/corporatelinguaacademy.com\/products\/applied-set-theory-foundations-and-practice-for-computing-data-and-engineering-paperback","provider":"Corporate Lingua Academy","version":"1.0","type":"link"}