TY  - BOOK
AU  - Stewart,Ian
AU  - Tall,David Orme
TI  - The foundations of mathematics
SN  - 9780198706434 (pbk.)
AV  - QA9 .S755 2015
U1  - 511.3 23
PY  - 2016///
CY  - New York
PB  - Oxfor University Press.
KW  - Logic, Symbolic and mathematical
N1  - 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
ER  -