Differential Forms in Algebraic Topology

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Differential Forms in Algebraic Topology is written by Raoul Bott and published by Springer Science & Business Media. It's available with International Standard Book Number or ISBN identification 1475739516 (ISBN 10) and 9781475739510 (ISBN 13).

Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.