Mathematics, a concise history and philosophy
W. S. Anglin.
New York : Springer-Verlag, ©1994.
xi, 261 págs. ; 25 cm.
Serie: Undergraduate texts in mathematics. Readings in mathematics
ISBN: 0387942807, 3540942807
Includes bibliographical references (p. [227]-228) and index.
Reseña: MathSciNet, 95k:01001
Contenido
- 1. Mathematics for the 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 latter 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.