ENGLISH

Practical Foundations of Mathematics

By Paul Taylor

Book information

Publisher
Cambridge University Press
Year
1999
ISBN
0521631076, 9780521631075
LCC
QA39.2 .T413 1999
Language
english
Format
PDF
Filesize
36 MB (38221392 bytes)
Series
Cambridge Studies in Advanced Mathematics, Vol. 59
Pages
586\586
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2024-07-06 03:02:15

Description

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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