Foundations of Differential Geometry

Name: Foundations of Differential Geometry
Brand: Cambridge University Press
SKU: 9780521066747
Price: 287.23 RON
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Autor: Oswald Veblen

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Editura: Cambridge University Press

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This book contains a set of axioms for differential geometry and develops their consequences up to a...

Informații despre carte

Autor

Oswald Veblen

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2008

Pagini

108

EAN

9780521066747

ISBN

0521066743

Enbook ID

04090075

Editura

Cambridge University Press

Greutate

150

Dimensiuni

143 x 217 x 7

Descriere completă

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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Foundations of Differential Geometry

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