The foundations of mathematics - 2nd ed.
Stewart, Ian,
The foundations of mathematics - 2nd ed. Ian Stewart and David Tall. - Second Edition. - UK: Oxford University Press; 2015 - xvi, 391 pages : illustrations ; 21 cm
Includes bibliographical references 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 (pb)
2014946122
Logic, Symbolic and mathematical.
QA9 / .S755 2015
511.3 STE-TAL
The foundations of mathematics - 2nd ed. Ian Stewart and David Tall. - Second Edition. - UK: Oxford University Press; 2015 - xvi, 391 pages : illustrations ; 21 cm
Includes bibliographical references 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 (pb)
2014946122
Logic, Symbolic and mathematical.
QA9 / .S755 2015
511.3 STE-TAL