212814

Springer, Dordrecht

1992

304 Pages

ISBN 978-3-540-55408-0

Lecture Notes in Physics
vol. 402

1830–1930: a century of geometry

epistemology, history and mathematics

Edited by

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.

Publication details

DOI: 10.1007/3-540-55408-4

Full citation:

Boi, L. , Flament, D. , Salanskis, J.-M. (eds) (1992). 1830–1930: a century of geometry: epistemology, history and mathematics, Springer, Dordrecht.

Table of Contents

The birth of non-euclidean geometry

Houzel Christian

1-21

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Poincaré and Klein

Gray J. J.

35-44

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Apparent contours from Monge to Todd

Teissier Bernard

55-62

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L'Espace

Boi Luciano

63-90

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Geometrie und Erfahrung

Balibar Françoise

91-97

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The geometric challenge of Riemann and Clifford

Farwell Ruth; Knee Christopher

98-106

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Poincaré et Enriques

Israel Giorgio

107-126

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Le principe de dualité

Geymonat Ludovico

175-177

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The formal and the transcendental in mathematics

Granger Gilles-Gaston

178-183

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Un panorama des mathématiques

Thom René

184-191

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What is space?

Freudenthal Hans

199-204

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Le continu contre l'espace

Salanskis Jean-Michel

250-264

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Geometrical concepts in quantum physics

Cohen-Tannoudji Gilles

265-269

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Physics and differential geometry

Regge Tullio

270-272

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