Stewart, Ian, 1945- author.
Oxford : Oxford University Press, 2015.;©2015
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Notes:
- Revision of: The foundations of mathematics / Ian Stewart and David Tall. — Oxford : Oxford University Press, 1977.
- 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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