Practical Foundations of Mathematics pdf epub mobi txt 电子书下载 2024

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Paul Taylor

Cambridge University Press

1999-05-13

588

USD 120.00

Hardcover

Cambridge Studies in Advanced Mathematics

9780521631075

图书标签: 数学计算机编程语言理论 work onshelf mathematics IT

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发表于2024-11-22

Practical Foundations of Mathematics epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Practical Foundations of Mathematics pdf epub mobi txt 电子书下载 2024

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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.

Practical Foundations of Mathematics 下载 mobi epub pdf txt 电子书