Differential Forms and Applications

By:

Manfredo P.Do Carmo

Format:

Paperback / softback

Series:

Universitext

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Description

The book treats differential forms and uses them to study 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 the Stokes' theorem, can be presented in its natural setting. The applications consist in developing the method of moving frames of E. Cartan to study the local differential geometry of immersed surfaces in R3 as well as the intrinsic geometry of surfaces. Everything is then put together in the last chapter to present Chern's proof of the Gauss-Bonnet theorem for compact surfaces.

Release date NZ

September 28th, 1994

Author

Manfredo P.Do Carmo

Audiences

Postgraduate, Research & Scholarly
Undergraduate

Illustrations

X, 118 p.

Pages

118

Series

Universitext

Dimensions

156x234x7

ISBN-13

9783540576181

Product ID

2495071

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