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Rowe, David E.

A Richer Picture of Mathematics

Rowe, David E. - A Richer Picture of Mathematics, ebook

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ISBN: 9783319678191
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Table of contents

Part I. Two Rival Centers: Göttingen vs. Berlin

1. Introduction to Part I
David E. Rowe

2. On Gauss and Gaussian Legends: A Quiz
David E. Rowe

3. Gauss, Dirichlet, and the Law of Biquadratic Reciprocity
David E. Rowe

4. Episodes in the Berlin-Göttingen Rivalry, 1870–1930
David E. Rowe

5. Deine Sonia: A Reading from a Burned Letter by Reinhard Bölling, Translated by D. E. Rowe
David E. Rowe

6. Who Linked Hegel’s Philosophy with the History of Mathematics?
David E. Rowe

Part II. The Young Felix Klein

7. Introduction to Part II
David E. Rowe

8. Models as Research Tools: Plücker, Klein, and Kummer Surfaces
David E. Rowe

9. Debating Grassmann’s Mathematics: Schlegel vs. Klein
David E. Rowe

10. Three Letters from Sophus Lie to Felix Klein on Mathematics in Paris
David E. Rowe

11. Klein, Mittag-Leffler, and the Klein-Poincaré Correspondence of 1881–1882
David E. Rowe

Part III. David Hilbert Steps Onstage

12. Introduction to Part III
David E. Rowe

13. Hilbert’s Early Career
David E. Rowe

14. Klein, Hurwitz, and the “Jewish Question” in German Academia
David E. Rowe

15. On the Background to Hilbert’s Paris Lecture “Mathematical Problems”
David E. Rowe

16. Poincaré Week in Göttingen, 22–28 April 1909
David E. Rowe

Part IV. Mathematics and the Relativity Revolution

17. Introduction to Part IV
David E. Rowe

18. Hermann Minkowski’s Cologne Lecture, “Raum und Zeit”
David E. Rowe

19. Max von Laue’s Role in the Relativity Revolution
David E. Rowe

20. Euclidean Geometry and Physical Space
David E. Rowe

21. The Mathematicians’ Happy Hunting Ground: Einstein’s General Theory of Relativity
David E. Rowe

22. Einstein’s Gravitational Field Equations and the Bianchi Identities
David E. Rowe

23. Puzzles and Paradoxes and Their (Sometimes) Profounder Implications
David E. Rowe

24. Debating Relativistic Cosmology, 1917–1924
David E. Rowe

25. Remembering an Era: Roger Penrose’s Paper on “Gravitational Collapse: The Role of General Relativity”
David E. Rowe

Part V. Göttingen in the Era of Hilbert and Courant

26. Introduction to Part V
David E. Rowe

27. Hermann Weyl, The Reluctant Revolutionary
David E. Rowe

28. Transforming Tradition: Richard Courant in Göttingen
David E. Rowe

29. Otto Neugebauer and the Göttingen Approach to History of the Exact Sciences
David E. Rowe

30. On the Myriad Mathematical Traditions of Ancient Greece
David E. Rowe

31. The Old Guard Under a New Order: K. O. Friedrichs Meets Felix Klein
David E. Rowe

32. An Enchanted Era Remembered: Interview with Dirk Jan Struik
David E. Rowe

Part VI. People and Legacies

33. Introduction to Part VI
David E. Rowe

34. Is (Was) Mathematics an Art or a Science?
David E. Rowe

35. Coxeter on People and Polytopes
David E. Rowe

36. Mathematics in Wartime: Private Reflections of Clifford Truesdell
David E. Rowe

37. Hilbert’s Legacy: Projecting the Future and Assessing the Past at the 1946 Princeton Bicentennial Conference
David E. Rowe

38. Personal Reflections on Dirk Jan Struik By Joseph W. Dauben
David E. Rowe

Keywords: Mathematics, History of Mathematical Sciences, History of Science

Author(s)
Publisher
Springer
Publication year
2018
Language
en
Edition
1
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783319678191
Printed ISBN
978-3-319-67818-4

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