Logic for Mathematicians - Brossura

Rosser, J. Barkley

Brossura

ISBN 10: 0486468984 ISBN 13: 9780486468983

Casa editrice: Dover Pubns, 2008

Riassunto

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.

Su questo libro

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.

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2008
• ISBN 10: 0486468984
• ISBN 13: 9780486468983
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 574