The foundations of mathematics / Ian Stewart and David Tall.
Material type:
TextPublication details: Oxford : Oxford University Press, 2015Edition: 2nd edDescription: xvi, 391 p. : illustrations ; 23 cmISBN: - 9780198706434 (pbk)
- 511.3 23 St491
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UE-Central Library | 511.3 St491 (Browse shelf(Opens below)) | Available | T13654 | ||
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Books
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UE-Central Library | 511.3 St491 (Browse shelf(Opens below)) | Available | T13655 |
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| 511.3 J719 Discrete mathematics / | 511.3 J719 Discrete mathematics | 511.3 S77427 A course on mathematical logic / | 511.3 St491 The foundations of mathematics / | 511.3 St491 The foundations of mathematics / | 511.32 B4331 Boolean-valued models and independence proofs in set theory / | 511.322 Sa322 Nazriya-e-set (نظریۃ سیٹ) |
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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