9783540576181
Differential Forms And Applications (Universitext) - Manfredo P. Do Carmo
Springer (2000)
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#4339

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Differential forms

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.

Product Details
LoC Classification QA381 .C2813 1994
Dewey 515.37
Format Paperback
Cover Price 52,95 €
No. of Pages 118
Height x Width 240 mm
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Library of Congress