The foundations of mathematics
Ian Stewart
Bok · Engelsk · 2015
| Omfang | xvi, 391 sider : : illustrasjoner ;
|
|---|---|
| Utgave | Second Edition.
|
| Opplysninger | Formerly CIP.. - 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.
|
| Emner | |
| Dewey | |
| ISBN | 019870643X. - 0198706448. - 9780198706434. - 9780198706441
|