Download e-book for kindle: Differential Forms and Applications (Universitext) by Manfredo P. Do Carmo

By Manfredo P. Do Carmo

ISBN-10: 3540576185

ISBN-13: 9783540576181

An program of differential types for the examine of a few neighborhood and worldwide features of the differential geometry of surfaces. Differential kinds are brought in an easy manner that might cause them to beautiful to "users" of arithmetic. a short and ordinary advent to differentiable manifolds is given in order that the most theorem, particularly Stokes' theorem, may be provided in its average atmosphere. The functions consist in constructing the tactic of relocating frames expounded through E. Cartan to review the neighborhood differential geometry of immersed surfaces in R3 in addition to the intrinsic geometry of surfaces. this can be then collated within the final bankruptcy to offer Chern's evidence of the Gauss-Bonnet theorem for compact surfaces.

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Differential Forms and Applications (Universitext) by Manfredo P. Do Carmo

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