From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes - Image 1

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Cambridge University Press From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes

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Brand: Cambridge University Press
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Geometry & Topology

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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.

Product Specifications

Brand: Cambridge University Press
Colour: White
Format: paperback
ASIN: 0521589568
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 13 March 1997
Listed Since: 04 January 2007

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Cambridge University Press From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes

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