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Differential Forms and Applications, Paperback by Do Carmo, Manfredo P., ISBN 3540576185, ISBN-13 9783540576181, Brand New, Free shipping in the US Uses differential forms to study local and global aspects of the differential geometry of surfaces. This book introduces differentiable manifolds and presents Stokes' theorem. It covers Chern's proof of the Gauss-Bonnet theorem for compact surfaces.
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