Logic for Mathematicians - Brossura

Rosser, J. Barkley

 
9780486468983: Logic for Mathematicians
Brossura
ISBN 10: 0486468984 ISBN 13: 9780486468983
Casa editrice: Dover Pubns, 2008

Sinossi

Hailed by the Bulletin of the American Mathematical Society as "undoubtedly a major addition to the literature of mathematical logic," this volume examines the essential topics and theorems of mathematical reasoning. No background in logic is assumed, and the examples are chosen from a variety of mathematical fields.
Starting with an introduction to symbolic logic, the first eight chapters develop logic through the restricted predicate calculus. Topics include the statement calculus, the use of names, an axiomatic treatment of the statement calculus, descriptions, and equality. Succeeding chapters explore abstract set theory—with examinations of class membership as well as relations and functions—cardinal and ordinal arithmetic, and the axiom of choice. An invaluable reference book for all mathematicians, this text is suitable for advanced undergraduates and graduate students. Numerous exercises make it particularly appropriate for classroom use.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

Preface List of Symbols 1. What Is Symbolic Logic? 2. The Statement Calculus 3. The use of Names 4. Axiomatic Treatment of the Statement Calculus 5. Clarification 6. The Restricted Predicate Calculus 7. Equality 8. Descriptions 9. Class Membership 10. Relations and Functions 11. Cardinal Numbers 12. Ordinal Numbers 13. Counting 14. The Axiom of Choice 15. We Rest Our Case A Proof of the Axiom of Infinity The Axiom of Counting The Axiom of Choice Nonstandard Analysis Bibliography Index

Product Description

Hailed by the Bulletin of the American Mathematical Society as "undoubtedly a major addition to the literature of mathematical logic," this volume examines the essential topics and theorems of mathematical reasoning. No background in logic is assumed, and the examples are chosen from a variety of mathematical fields. 1978 edition.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Dover Pubns
Data di pubblicazione
2008
Lingua
Inglese
ISBN 10 
0486468984
ISBN 13 
9780486468983
Rilegatura
Copertina flessibile
Numero edizione
2
Numero di pagine
574
Contatto del produttore
non disponibile
Persona responsabile
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italia

Altre edizioni note dello stesso titolo

9780828402941: Logic for mathematicians

Edizione in evidenza

ISBN 10:  0828402949 ISBN 13:  9780828402941
Rilegato