The foundations of mathematics / Ian Stewart and David Tall
Publisher: Oxford : Oxford University Press, 2015Edition: Second EditionDescription: xvi, 391 pages : illustrations ; 23 cmContent type:- text
- unmediated
- volume
- 9780198706434 (pbk.)
- 019870643X (pbk.)
- 9780198706441 (hbk.)
- 0198706448 (hbk.)
- 511.3 23 STE
- QA9 .S755 2015
Item type | Current library | Call number | Status | Date due | Barcode |
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Science and Education Library | 511.3 STE (Browse shelf(Opens below)) | Available | NAGL24051847 |
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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.
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