A foundation in differential topology
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A foundation in differential topology
This introductory text covers core ideas in differential topology, including smooth manifolds and maps, tangent bundles and related structures, and the use of differential forms to calculate real cohomology groups through de Rham theory. The description also points to applications, though the supplied text cuts off before naming them. Its range connects the geometric language of manifolds with a key tool for studying their topological properties.
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This invaluable book, based on the many years of teaching experience of both authors, introduces the reader to the basic ideas in differential topology. Among the topics covered are smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups using differential forms (de Rham theory), and applications such as the Poincar
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