Anglin, W. S.
Mathematics, a concise history and philosophy / W. S. Anglin.
— New York : Springer-Verlag, c1994. xi, 261 p. ; 25 cm. — (Undergraduate texts in mathematics. Readings in mathematics)
Includes bibliographical references (p. [227]-228) and index.
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.
ISBN 0387942807. — ISBN 3540942807
|