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From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes

Categorie	Algemeen wetenschap
Boeknummer	#342734-ZA28
Titel	From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes
Auteur	Madsen, Ib & Jorgen Tornehave
Boektype	Paperback
Uitgeverij	Cambridge : University Press
Jaar van uitgave	1997
ISBN10	0521589568
ISBN13	9780521589567
Taal	Engels
Beschrijving	Paperback, illustrated with numerous equations, 8vo.
Samenvatting	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... (Lees verder) an introductory course in algebraic topology. It will be invaluable to anyone studying cohomology, curvature, and their applications.
Pagina's	286
Conditie	Goed — Front cover slightly knicked, name in pen on title page.
Prijs	€ 25,00

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