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1830–1930: A Century of Geometry

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Table of Contents

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    Book Overview
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    Chapter 49 The birth of non-Euclidean geometry
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    Chapter 50 Riemann's vision of a new approach to geometry
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    Chapter 51 Poincaré and Klein — groups and geometries
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    Chapter 52 Klein, Lie, and the “Erlanger programm”
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    Chapter 53 Apparent contours from Monge to Todd
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    Chapter 54 L'Espace : Concept abstrait et/ou physique ; la géométrie entre formalisation mathématique et etude de la nature
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    Chapter 55 Geometrie und Erfahrung
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    Chapter 56 The geometric challenge of Riemann and Clifford
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    Chapter 57 Poincaré et Enriques : deux points de vue différents sur les relations entre géométrie, mécanique et physique
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    Chapter 58 Physical geometry and special relativity. Einstein et Poincaré
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    Chapter 59 Transport parallèle et connexions en Géométrie et en Physique
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    Chapter 60 De la Géométrie Formelle à l'Algèbre Abstraite
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    Chapter 61 Le Principe de Dualité : sa Signification Historique et Epistémologique
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    Chapter 62 The formal and the transcendental in mathematics
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    Chapter 63 Un Panorama des Mathématiques
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    Chapter 64 Mathematical progress as synthesis of intuition and calculus
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    Chapter 65 What is space?
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    Chapter 66 La “lineale ausdehnungslehre” (1844) de Hermann Günther Grassmann
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    Chapter 67 La capture de l'extension comme dialectique géométrique : Dimension et puissance selon l'ausdehnung de Grassmann (1844)
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    Chapter 68 Helmholtz and Poincaré's considerations on the genesis of geometry
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    Chapter 69 Le continu contre l'espace
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    Chapter 70 Geometrical concepts in quantum physics
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    Chapter 71 Physics and differential geometry
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    Chapter 72 Actuality of transcendental æsthetics for modern physics
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Title
1830–1930: A Century of Geometry
Published by
Springer Berlin Heidelberg, January 2006
DOI 10.1007/3-540-55408-4
ISBNs
978-3-54-055408-0, 978-3-54-047058-8
Editors

Boi, Luciano, Flament, Dominique, Salanskis, Jean-Michel