UID:
almahu_9947367852002882
Format:
1 online resource (355 p.)
ISBN:
1-281-79726-X
,
9786611797263
,
0-08-087159-3
Series Statement:
North-Holland mathematics studies ; 48
Content:
Mathematicians and Their Times
Note:
Includes index.
,
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 Europe13. 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 mathematics28. 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
,
English
Additional Edition:
ISBN 0-444-86135-1
Language:
English
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