There exist a number of excellent graduate textbooks on the theory of differential forms and a handful of very good undergraduate textbooks on multivariable calculus in which this subject is briefly touched upon. However, the goal of this text is to supply a readable textbook for undergraduates that is entirely devoted to this subject and explores a lot of its important ramifications. In particular, it provides a detailed and lucid account of a fundamental result in the theory of differential forms which is, as a rule, not touched upon in undergraduate texts: the isomorphism between the Cech cohomology groups of a differential manifold and its de Rham cohomology groups.
Publisher: World Scientific Publishing Co Pte Ltd
Number of pages: 240
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