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Differential Forms and Applications - 94 edition

Differential Forms and Applications (ISBN10: 3540576185; ISBN13: 9783540576181)
ISBN13: 978-3540576181
ISBN10: 3540576185

This edition has also been released as:
ISBN13: 978-0387576183
ISBN10: 0387576185

Summary: 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 mo moreving 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. less

Edition/Copyright: 94
Publisher: Springer-Verlag New York
Year Published: 1994
International: No

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