Differential Forms and Applications

do Carmo Manfredo P.

ISBN 10: 0387576185 ISBN 13: 9780387576183

Editorial: Springer, 1997

Idioma: Ingl�s

Condici�n: Usado Encuadernaci�n de tapa blanda

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Detalles bibliogr�ficos

T�tulo: Differential Forms and Applications
Editor: Springer
Fecha de publicaci�n: 1997
Idioma: Ingl�s
ISBN 10: 0387576185
ISBN 13: 9780387576183
Encuadernaci�n: Encuadernaci�n de tapa blanda
Estado: Used

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Sinopsis

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 of differential forms, namely 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 R[superscript 3] 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.

Rese�a del editor

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 of differential forms, namely 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 R[superscript 3] 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.

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