The foundations of mathematics - 2nd ed. Ian Stewart and David Tall.
Material type:
TextPublication details: UK: Oxford University Press; 2015Edition: Second EditionDescription: xvi, 391 pages : illustrations ; 21 cmISBN: - 9780198706434 (pb)
- 511.3 STE-TAL 23
- QA9 .S755 2015
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Goa University Library NBHM (Mathematics dept.) | 511.3 STE-TAL (Browse shelf(Opens below)) | Available | 160470 |
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| 511.3 SIP/The Theory of computation | 511.3 SIP/The Theory of computation | 511.3 SOL/How How to read and do proofs : | 511.3 STE-TAL The foundations of mathematics - 2nd ed. | 511.3 WEB/Com Computability theory | 511.3 WEB/Com Computability theory | 511.32 SRI/Cou A course on Borel sets / |
Includes bibliographical references 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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