Ji, Lizhen
From Riemann to Differential Geometry and Relativity
1. Looking Backward: From Euler to Riemann
Athanase Papadopoulos
Part I. Mathematics and Physics
2. Riemann on Geometry, Physics, and Philosophy—Some Remarks
Jeremy Gray
3. Some Remarks on “A Contribution to Electrodynamics” by Bernhard Riemann
Hubert Goenner
4. Riemann’s Memoir Über das Verschwinden der 5. Riemann’s Work on Minimal Surfaces 6. Physics in Riemann’s Mathematical Papers 7. Cauchy and Puiseux: Two Precursors of Riemann 8. Riemann Surfaces: Reception by the French School Part II. Philosophy 9. The Origin of the Notion of Manifold: From Riemann’s Habilitationsvortrag Onward 10. Deleuze et la Géométrie Riemannienne: Une Topologie des Multiplicités 11. Comprehending the Connection of Things: Bernhard Riemann and the Architecture of Mathematical Concepts Part III. Some Recent Developments 12. The Riemann Mapping Theorem and Its Discrete Counterparts 13. The Riemann–Roch Theorem 14. Metric Geometries in an Axiomatic Perspective 15. Generalized Riemann Sums 16. From Riemannian to Relativistic Diffusions Part IV. Relativity 17. On the Positive Mass Theorem for Closed Riemannian Manifolds 18. On Local Characterization Results in Geometry and Gravitation 19. The Conformal Approach to Asymptotic Analysis Part V. Concluding Chapter 20. Bernhard Riemann and His Work Avainsanat: Mathematics, History of Mathematical Sciences, Differential Geometry
Sumio Yamada
Athanase Papadopoulos
Athanase Papadopoulos
Athanase Papadopoulos
Ken’ichi Ohshika
Franck Jedrzejewski
Arkady Plotnitsky
Feng Luo
Norbert A’Campo, Vincent Alberge, Elena Frenkel
Victor Pambuccian, Horst Struve, Rolf Struve
Toshikazu Sunada
Jacques Franchi
Andreas Hermann, Emmanuel Humbert
Marc Mars
Jean-Philippe Nicolas
Lizhen Ji
- Toimittaja
- Ji, Lizhen
- Papadopoulos, Athanase
- Yamada, Sumio
- Julkaisija
- Springer
- Julkaisuvuosi
- 2017
- Kieli
- en
- Painos
- 1
- Sivumäärä
- 34 sivua
- Kategoria
- Eksaktit luonnontieteet
- Tiedostomuoto
- E-kirja
- eISBN (PDF)
- 9783319600390
- Painetun ISBN
- 978-3-319-60038-3