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OverviewIn 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. Full Product DetailsAuthor: Luciano Boi , Dominique Flament , Jean-Michel SalanskisPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of the original 1st ed. 1992 Volume: 402 Dimensions: Width: 17.00cm , Height: 1.70cm , Length: 24.40cm Weight: 0.548kg ISBN: 9783662138908ISBN 10: 3662138905 Pages: 304 Publication Date: 23 August 2014 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsThe birth of non-Euclidean geometry.- Riemann's vision of a new approach to geometry.- Poincaré and Klein — groups and geometries.- Klein, Lie, and the “Erlanger programm”.- Apparent contours from Monge to Todd.- L'Espace : Concept abstrait et/ou physique ; la géométrie entre formalisation mathématique et etude de la nature.- Geometrie und Erfahrung.- The geometric challenge of Riemann and Clifford.- Poincaré et Enriques : deux points de vue différents sur les relations entre géométrie, mécanique et physique.- Physical geometry and special relativity. Einstein et Poincaré.- Transport parallèle et connexions en Géométrie et en Physique.- De la Géométrie Formelle à l'Algèbre Abstraite.- Le Principe de Dualité : sa Signification Historique et Epistémologique.- The formal and the transcendental in mathematics.- Un Panorama des Mathématiques.- Mathematical progress as synthesis of intuition and calculus.- What is space?.- La “lineale ausdehnungslehre” (1844) de Hermann Günther Grassmann.- La capture de l'extension comme dialectique géométrique : Dimension et puissance selon l'ausdehnung de Grassmann (1844).- Helmholtz and Poincaré's considerations on the genesis of geometry.- Le continu contre l'espace.- Geometrical concepts in quantum physics.- Physics and differential geometry.- Actuality of transcendental æsthetics for modern physics.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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