Metodo

International Studies in Phenomenology and Philosophy

Series | Book

212814

1830–1930: a century of geometry

epistemology, history and mathematics

edited byLuciano BoiDominique FlamentJean-Michel Salanskis

Abstract

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.

Details | Table of Contents

L'Espace

concept abstrait et/ou physique ; la géométrie entre formalisation mathématique et étude de la nature

Luciano Boi

pp.63-90

https://doi.org/10.1007/3-540-55408-4_54
Poincaré et Enriques

deux points de vue différents sur les relations entre géométrie, mécanique et physique

Giorgio Israel

pp.107-126

https://doi.org/10.1007/3-540-55408-4_57
Le principe de dualité

sa signification historique et epistémologique

Ludovico Geymonat

pp.175-177

https://doi.org/10.1007/3-540-55408-4_61
La capture de l'extension comme dialectique géométrique

Dimension et puissance selon l'Ausdehnung de Grassmann (1844)

Gilles Châtelet

pp.222-244

https://doi.org/10.1007/3-540-55408-4_67

Publication details

Publisher: Springer

Place: Dordrecht

Year: 1992

Pages: 304

Series: Lecture Notes in Physics

Series volume: 402

DOI: 10.1007/3-540-55408-4

ISBN (hardback): 978-3-540-55408-0

ISBN (digital): 978-3-540-47058-8

Full citation:

Boi Luciano, Flament Dominique, Salanskis Jean-Michel (1992) 1830–1930: a century of geometry: epistemology, history and mathematics. Dordrecht, Springer.