Mathematicians and Their Times
Published on 18. August 2011
343 pages
978-0-08-087159-2 (ISBN)
Description
Mathematicians and Their Times
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04/2000
North-Holland
€186.01
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Content
- Front Cover
- Mathematicians and Their Times: History of Mathematics and Mathematics of History
- Copyright Page
- Contents
- Preface
- INTRODUCTION
- Part I: Generalities
- 1. The non-mathematical framework
- 2. The trained observer
- 3. The embellishment of truth
- 4. The intrusion of personal feelings
- 5. Some rules of critical analysis
- Part II: Early History
- 6. The historical significance of mathematics
- 7. The meaning of mathematics
- 8. The distant past
- 9. The Greek school of mathematics
- 10. The destructive bends
- 11. The miraculous preservation
- Part III: The Slow Renaissance
- 12. Dismal prospects in Western Europe
- 13. The pioneers who came too soon
- 14. The leadership that could not last
- Part IV: The New Beginning
- 15. The beginnings of analysis
- 16. Newton
- 17. Preparing for bankruptcy
- 18. Euler
- 19. The rise of mathematics in Paris
- CHAPTER I. The Romantic Period
- 20. The flouting of arithmetic
- 21. The founding of the Ecole Polytechnique
- 22. Gauss
- 23. The first romantics
- 24. Riemann and Weierstrass
- 25. Between two worlds
- CHAPTER II. The Dream of a Conceptual Age, and Hard Reality of Struggle for Existence
- 26. The unprized heritage
- 27. The significance of Plato for mathematics
- 28. Cantor and Sets
- 29. Goettingen
- CHAPTER III. The Age of Contradictions and of the Great Question Marks
- 30. The art of the possible
- 31. The expansion of mathematics
- 32. Cambridge
- 33. The Hardy-Littlewood era
- 34. The battleground of ideas
- 35. The uncertain further blooming
- 36. The other side of catastrophe
- INDEX
