Practical Foundations of Mathematics

Practical Foundations of Mathematics pdf epub mobi txt 電子書 下載2025

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出版者:Cambridge University Press
作者:Paul Taylor
出品人:
頁數:588
译者:
出版時間:1999-05-13
價格:USD 120.00
裝幀:Hardcover
isbn號碼:9780521631075
叢書系列:Cambridge Studies in Advanced Mathematics
圖書標籤:
  • 數學 
  • 計算機 
  • 編程語言理論 
  • work 
  • onshelf 
  • mathematics 
  • IT 
  •  
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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.

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