Notes on Logic and Set Theory - Brossura

Johnstone, P. T.

Brossura

ISBN 10: 0521336929 ISBN 13: 9780521336925

Casa editrice: Cambridge University Press, 2008

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

x 110p blue paperback, excellent copy, very fresh, first reprint, as new

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2008
• ISBN 10: 0521336929
• ISBN 13: 9780521336925
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 124
• Contatto del produttore: non disponibile