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The foundations of mathematics / Ian Stewart and David Tall.

By: Stewart, Ian, 1945- [author.].
Contributor(s): Tall, David Orme [author.].
Material type: TextTextPublisher: Oxford : Oxford University Press, 2015Edition: Second Edition.Description: xvi, 391 pages : UKP 14.99 illustrations ; 23 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9780198706434 (pbk.); 019870643X (pbk.); 9780198706441 (hbk.); 0198706448 (hbk.).Subject(s): Logic, Symbolic and mathematicalDDC classification: 511.3
Contents:
Part I. The intuitive background -- 1. Mathematical thinking -- 2. Number systems -- Part II. The beginnings of formalisation -- 3. Sets -- 4. Relations -- 5. Functions -- 6. Mathematical logic -- 7. Mathematical proof -- Part III. The development of axiomatic systems -- 8. Natural numbers and proof by induction -- 9. Real numbers -- 10. Real numbers as a complete ordered field -- 11. Complex numbers and beyond -- Part IV. Using axiomatic systems -- 12. Axiomatic systems, structure theorems, and flexible thinking -- 13. Permutations and groups -- 14. Cardinal numbers -- 15. Infinitesimals -- Part V. Strengthening the foundations -- 16. Axioms for set theory.
List(s) this item appears in: 2016-03-07
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks 		511.3 STE (Browse shelf) Available 9745
Total holds: 0

Includes bibliographical references (pages 383-385) and index.

Part I. The intuitive background -- 1. Mathematical thinking -- 2. Number systems -- Part II. The beginnings of formalisation -- 3. Sets -- 4. Relations -- 5. Functions -- 6. Mathematical logic -- 7. Mathematical proof -- Part III. The development of axiomatic systems -- 8. Natural numbers and proof by induction -- 9. Real numbers -- 10. Real numbers as a complete ordered field -- 11. Complex numbers and beyond -- Part IV. Using axiomatic systems -- 12. Axiomatic systems, structure theorems, and flexible thinking -- 13. Permutations and groups -- 14. Cardinal numbers -- 15. Infinitesimals -- Part V. Strengthening the foundations -- 16. Axioms for set theory.