Notes on Logic and Set Theory - Rilegato

Johnstone, P. T.

Rilegato

ISBN 10: 0521335027 ISBN 13: 9780521335027

Casa editrice: Cambridge University Press, 1987

Riassunto

This short textbook provides a succinct introduction to mathematical logic and set theory, which together form the foundations for the rigorous development of mathematics. It will be suitable for all mathematics undergraduates coming to the subject for the first time. The book is based on lectures given at the University of Cambridge and covers the basic concepts of logic: first order logic, consistency, and the completeness theorem, before introducing the reader to the fundamentals of axiomatic set theory. There are also chapters on recursive functions, the axiom of choice, ordinal and cardinal arithmetic and the incompleteness theorems. Dr Johnstone has included numerous exercises designed to illustrate the key elements of the theory and to provide applications of basic logical concepts to other areas of mathematics. Consequently the book, while making an attractive first textbook for those who plan to specialise in logic, will be particularly valuable for mathematics and computer scientists whose primary interests lie elsewhere.

Su questo libro

Contenuti

Preface; 1. Universal algebra; 2. Propositional calculus; 3. First-order theories; 4. Recursive functions; 5. Zermelo - Fraenkel set theory; 6. Ordinals and well -orderings; 7. The axiom of choice; 8. Cardinal arithmetic; 9. Consistency and independence; Index of definitions; Index of names.

Product Description

Book by Johnstone P T

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1987
• ISBN 10: 0521335027
• ISBN 13: 9780521335027
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero di pagine: 128
• Contatto del produttore: non disponibile