Mathematics, a concise history and philosophy /

Guardado en:
Autor Principal: Anglin, W. S.
Formato: Libro
Idioma:English
Publicado: New York : Springer-Verlag, c1994.
Series:Undergraduate texts in mathematics. Readings in mathematics
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Tabla de Contenidos:
  • 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.