The foundations of mathematics /
Stewart, Ian, 1945-
The foundations of mathematics / Ian Stewart and David Tall. - 2nd ed. - Oxford : Oxford University Press, 2015.
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.
9780198706441 9780198706441: £45.00
Logic, Symbolic and mathematical.
Mathematical logic
Set theory
Educational: Mathematics & numeracy
Number systems
510
The foundations of mathematics / Ian Stewart and David Tall. - 2nd ed. - Oxford : Oxford University Press, 2015.
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.
9780198706441 9780198706441: £45.00
Logic, Symbolic and mathematical.
Mathematical logic
Set theory
Educational: Mathematics & numeracy
Number systems
510