Differential Forms and Applications by Manfredo P. Do Carmo
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Differential Forms and Applications
By Manfredo P. Do Carmo

Differential Forms and Applications

1st ed. 1994. Corr. 2nd printing 1998

By (author) See other recent books by Manfredo P. Do Carmo
Format: Paperback

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Differential Forms and Applications by Manfredo P. Do Carmo

Book Description

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.

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Book Details

ISBN: 9783540576181
ISBN-10: 3540576185
Format: Paperback
(234mm x 156mm x 7mm)
Pages: 128
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Publish Date: 28-Sep-1994
Country of Publication: Germany

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