The foundations of mathematics
Material type: TextPublication details: United Kingdom : Oxford University Press, ©2015.Edition: 2nd edDescription: xvi, 391 p. : ill. ; 25 cmISBN:- 9780198706434
- 511.3 23 STE-F
- QA9 .S755 2015
Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
Books | IIITD Reference | Mathematics | REF 511.3 STE-F (Browse shelf(Opens below)) | Available | 007226 |
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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