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Stewart, Ian

The foundations of mathematics Ian Stewart and David Tall. - 2nd ed. - United Kingdom : Oxford University Press, ©2015. - xvi, 391 p. : ill. ; 25 cm.

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.

9780198706434

2014946122


Logic, Symbolic and mathematical.

QA9 / .S755 2015

511.3 / STE-F

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