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Practical Foundations of Mathematics (Cambridge Studies in Advanced Mathematics)By Paul Taylor
Free Download Practical Foundations of Mathematics (Cambridge Studies in Advanced Mathematics)By Paul Taylor
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Practical Foundations of Mathematics explains the basis of mathematical reasoning both in pure mathematics itself (algebra and topology in particular) and in computer science. In addition to the formal logic, this volume examines the relationship between computer languages and "plain English" mathematical proofs. The book introduces the reader to discrete mathematics, reasoning, and categorical logic. It offers a new approach to term algebras, induction and recursion and proves in detail the equivalence of types and categories. Each idea is illustrated by wide-ranging examples, and followed critically along its natural path, transcending disciplinary boundaries across universal algebra, type theory, category theory, set theory, sheaf theory, topology and programming. Students and teachers of computing, mathematics and philosophy will find this book both readable and of lasting value as a reference work.
- Sales Rank: #2770843 in Books
- Published on: 1999-05-13
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x 1.46" w x 5.98" l, 2.24 pounds
- Binding: Hardcover
- 588 pages
Review
"Taylor paints rhapsodically on a broad, richly detailed canvas replete with examples and exercises. He invites readers to dip in at any point and structures his book accordingly. He embroiders his text with a running commentary that often fascinates...this book covers important ground in an original style." Choice
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