Differential Forms and Applications (Paperback, 1st ed. 1994. Corr. 2nd printing 1998)

An application of differential forms for the study of some local and global aspects of the differential geometry of surfaces. Differential forms are introduced in a simple way that will make them attractive to "users" of mathematics. A brief and elementary introduction to differentiable manifolds is given so that the main theorem, namely Stokes' theorem, can be presented in its natural setting. The applications consist in developing the method of moving frames expounded by E. Cartan to study the local differential geometry of immersed surfaces in R3 as well as the intrinsic geometry of surfaces. This is then collated in the last chapter to present Chern's proof of the Gauss-Bonnet theorem for compact surfaces.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Universitext
Release date:	May 1998
First published:	May 1998
Authors:	Manfredo P Do Carmo
Dimensions:	235 x 155 x 13mm (L x W x T)
Format:	Paperback
Pages:	118
Edition:	1st ed. 1994. Corr. 2nd printing 1998
ISBN-13:	978-3-540-57618-1
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
LSN:	3-540-57618-5
Barcode:	9783540576181

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