9780521589567-0521589568-From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes

From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes

ISBN-13: 9780521589567
ISBN-10: 0521589568
Edition: Illustrated
Author: Madsen, Ib
Publication date: 1997
Publisher: Cambridge University Press
Format: Paperback 296 pages
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Book details

ISBN-13: 9780521589567
ISBN-10: 0521589568
Edition: Illustrated
Author: Madsen, Ib
Publication date: 1997
Publisher: Cambridge University Press
Format: Paperback 296 pages

Summary

Acknowledged authors Madsen, Ib wrote From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes comprising 296 pages back in 1997. Textbook and eTextbook are published under ISBN 0521589568 and 9780521589567. Since then From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes textbook was available to sell back to BooksRun online for the top buyback price of $ 4.71 or rent at the marketplace.

Description

De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory of characteristic classes from the curvature point of view. It requires no prior knowledge of the concepts of algebraic topology or cohomology. The first ten chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on manifolds. The last eleven chapters cover Morse theory, index of vector fields, Poincaré duality, vector bundles, connections and curvature, Chern and Euler classes, Thom isomorphism, and the general Gauss-Bonnet theorem. The text includes over 150 exercises, and gives the background necessary for the modern developments in gauge theory and geometry in four dimensions, but it also serves as an introductory course in algebraic topology. It will be invaluable to anyone who wishes to know about cohomology, curvature, and their applications.

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