Differential Equations

New PDF release: Differential Forms and Applications (Universitext)

By Manfredo P. Do Carmo

An software of differential types for the research of a few neighborhood and worldwide points of the differential geometry of surfaces. Differential varieties are brought in an easy manner that would lead them to appealing to "users" of arithmetic. a short and easy creation to differentiable manifolds is given in order that the most theorem, specifically Stokes' theorem, could be offered in its common atmosphere. The functions consist in constructing the strategy 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 is often then collated within the final bankruptcy to provide Chern's facts 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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