Differential Forms in Algebraic Topology / Edition 1

Differential Forms in Algebraic Topology / Edition 1

by Raoul Bott, Loring W. Tu
     
 

ISBN-10: 1441928154

ISBN-13: 9781441928153

Pub. Date: 05/26/2011

Publisher: Springer New York

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

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Overview

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.

Product Details

ISBN-13:
9781441928153
Publisher:
Springer New York
Publication date:
05/26/2011
Series:
Graduate Texts in Mathematics Series, #82
Edition description:
Softcover reprint of hardcover 1st ed. 1982
Pages:
338
Product dimensions:
0.73(w) x 6.14(h) x 9.21(d)

Table of Contents

I De Rham Theory.- II The—ech-de Rham Complex.- III Spectral Sequences and Applications.- IV Characteristic Classes.- References.- List of Notations.

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