From Calculus to Cohomology : de Rham Cohomology and Characteristic Classes

Ib Madsen

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Language: English

Published by Cambridge University Press, 1997

0521589568 / 9780521589567

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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 include Morse theory, index of vector fields, Poincaré duality, vector bundles, connections and curvature, and the book ends with the general Gauss-Bonnet theorem. The text includes well over 150 exercises, and gives the background to 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 studying cohomology, curvature, and their applications.

Seller Inventory # 9780521589567

Title
From Calculus to Cohomology : de Rham Cohomology and Characteristic Classes
Author
Ib Madsen
Publisher
Cambridge University Press
Publication year
1997
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
0521589568
ISBN 13
9780521589567
Item weight
557 grams
Dimensions
235x191x17 mm

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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