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An Introduction to Manifolds - Tu, Loring W
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An Introduction to Manifolds presents the theory of manifolds with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book, the reader will have the ability to compute one of the most basic topological invariants of a manifold, its de Rham cohomology.

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An Introduction to Manifolds 2010, Springer, New York, NY

ISBN-13: 9781441973993

2nd 2011 edition

Trade paperback

An Introduction to Manifolds 2007, Springer, New York, NY

ISBN-13: 9780387480985

Trade paperback