Front cover image for Mathematics, a concise history and philosophy

Mathematics, a concise history and philosophy

This is a concise introductory textbook for a one-semester (40-class) course in the history and philosophy of mathematics. On the one hand, this book is designed to help mathematics majors ac­ quire a philosophical and cultural understanding of their subject by means of doing actual mathematical problems from different eras.
Print Book, English, ©1994
Springer-Verlag, New York, ©1994
History
xi, 261 pages : illustrations ; 24 cm.
9780387942803, 9783540942801, 0387942807, 3540942807
30079071
1. Mathematics for civil servants
2. The earliest number theory
3. The dawn of deductive mathematics
4. The pythagoreans
5. The pythagoreans and perfection
6. The pythagoreans and polyhedra
7. The pythagoreans and irrationality
8. The need for the infinite
9. Mathematics in Athens before Plato
10. Plato
11. Aristotle
12. In the time of Eudoxus
13. Ruler and compass constructions
14. The oldest surviving math book
15. Euclid's geometry continued
16. Alexandria and Archimedes
17. The end of Greek mathematics
18. Early medieval number theory
19. Algebra in the early Middle Ages
20. Geometry in the early Middle Ages
21. Khayyam and the cubic
22. The later Middle Ages
23. Modern mathematical notation
24. The secret of the cubic
25. The secret revealed
26. A new calculating device
27. Mathematics and astronomy
28. The seventeenth century
29. Pascal
30. The seventeenth century II
31. Leibniz
32. The eighteenth century
33. Lagrange
34. Nineteenth-century algebra
35. Nineteenth-century analysis
36. Nineteenth-century geometry
37. Nineteenth-century number theory
38. Cantor
39. Foundations
40. Twentieth-century number theory
References
Appendix A. Sample assignments and tests
Appendix B. Answers to selected exercises