Foundations of Differential Geometry by Oswald Veblen
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Foundations of Differential Geometry
By Oswald Veblen

The Foundations of Differential Geometry

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Format: Paperback

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Foundations of Differential Geometry by Oswald Veblen

Book Description

This book contains a set of axioms for differential geometry and develops their consequences up to a point where a more advanced book might reasonably begin. Analytical operations with co-ordinate systems are continually used in differential geometry, a typical process being to 'choose a co-ordinate system such that ...' It is therefore natural to state the axioms in terms of an undefined class of 'allowable' co-ordinate systems, and to deduce the properties of the space from the nature of the transformations of co-ordinates permitted by the axioms. These earlier axioms are found to be adequate for the differential geometry of an open simply connected space, the most elementary theorems of which occupy the greater part of Chapters III-V. The more general axioms, in terms of allowable co-ordinate systems and without restrictions on the connectivity of the space, are given in Chapter IV.

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Book Details

ISBN: 9780521066747
ISBN-10: 0521066743
Format: Paperback
(216mm x 140mm x 7mm)
Pages: 108
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 3-Jan-1932
Country of Publication: United Kingdom

Books By Author Oswald Veblen

Invariants of Quadratic Differential Forms by Oswald Veblen Invariants of Quadratic Differential Forms, Paperback (June 2004)

An early tract for students of differential geometry and mathematical physics.

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