Riemanns Geometrische Ideen, Ihre Auswirkung und Ihre Verknupfung mit der Gruppentheorie (English, German, Paperback, Softcover reprint of the original 1st ed. 1988)

Ganz in Hermann Weyls bekannt klarer Darstellung geschrieben, gibt dieser Beitrag einen Bericht uber die Entstehung der grundlegenden Ideen, die der modernen Geometrie zugrunde liegen. Diese Schrift spiegelt in einzigartiger Weise Weyls mathematische Personlichkeit wider. Sie richtet sich an alle, die sich mit Fragen der Topologiegruppentheorie, Differentialgeometrie und mathematischer Physik beschaftigen. From the foreword of the editor K. Chandrasekharan: "Written in Weyl's finest style, while he was rising forty, the article is an authentic report on the genesis and evolution of those fundamental ideas that underlie the modern conception of geometry. Part I is on the continuum, and deals with analysis situs, imbeddings, and coverings. Part II is on structure, and deals with infinitesimal geometry in its many aspects, metric, conformal, affine, and projective; with the question of homogeneity, homogeneous spaces from the group-theoretical standpoint, the role of the metric field theories in physics, and the related problems of group theory. It is hoped that this article will be of interest to all those concerned with the growth and development of topology, group theory, differential geometry, geometric function theory, and mathematical physics. It bears the unmistakable imprint of Weyl's mathematical personality, and of his remarkable capacity to capture and delineate the transmutation of some of the nascent into the dominant ideas of the mathematics of our time".

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Release date:	December 2011
First published:	1988
Authors:	Hermann Weyl
Editors:	Komaravolu Chandrasekharan
Dimensions:	235 x 155 x 8mm (L x W x T)
Format:	Paperback
Pages:	46
Edition:	Softcover reprint of the original 1st ed. 1988
ISBN-13:	978-3-642-73871-5
Languages:	English • German
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-642-73871-0
Barcode:	9783642738715

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