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- Series
- Lecture Notes in Physics
- Date
- 1992
- Publisher
- Springer
- Place
- Dordrecht
- Pages
- 304
- ISBN
- 978-3-540-55408-0
Luciano Boi
Dominique Flament
Jean-Michel Salanskis
1830–1930: a century of geometry
epistemology, history and mathematics
Luciano Boi, Dominique Flament, Jean-Michel Salanskis
In the first half of the 19th century geometry changed radically, and withina century it helped to revolutionize both mathematics and physics. It also put the epistemology and the philosophy of science on a new footing. In this volume a sound overview of this development is given by leading mathematicians, physicists, philosophers, and historians of science. This interdisciplinary approach gives this collection a unique character. It can be used by scientists and students, but it also addresses a general readership.
1-21
The birth of non-euclidean geometry
Houzel Christian
22-34
Riemann's vision of a new approach to geometry
Scholz Erhard
35-44
Poincaré and Klein
Gray J. J.
45-54
Klein, Lie, and the "Erlanger programm"
Rowe David E.
55-62
Apparent contours from Monge to Todd
Teissier Bernard
63-90
L'Espace
Boi Luciano
91-97
Geometrie und Erfahrung
Balibar Françoise
98-106
The geometric challenge of Riemann and Clifford
Farwell Ruth; Knee Christopher
107-126
Poincaré et Enriques
Israel Giorgio
127-149
Physical geometry and special relativity
Paty Michel
150-164
Transport parallèle et connexions en géométrie et en physique
Bourguignon Jean-Pierre
165-174
De la géométrie formelle à l'algèbre abstraite
Sinaceur Hourya
175-177
Le principe de dualité
Geymonat Ludovico
178-183
The formal and the transcendental in mathematics
Granger Gilles-Gaston
184-191
Un panorama des mathématiques
Thom René
192-198
199-204
What is space?
Freudenthal Hans
205-221
La "lineale Ausdehnungslehre" (1844) de Hermann Günther Grassmann
Flament Dominique
222-244
La capture de l'extension comme dialectique géométrique
Châtelet Gilles
245-249
Helmholtz and Poincaré's considerations on the genesis of geometry
Heinzmann Gerhard
250-264
Le continu contre l'espace
Salanskis Jean-Michel
265-269
Geometrical concepts in quantum physics
Cohen-Tannoudji Gilles
270-272
Physics and differential geometry
Regge Tullio
273-304
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