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ISBN: 9780521589567

ID: 1763965

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, Poincare 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. From Calculus to Cohomology: de Rham Cohomology and Characteristic Classes Madsen, IB / Tornehave, Jergen / Madsen/Tornehave, Cambridge University Press

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ISBN: 9780521589567

ID: 1062165260

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 10 chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on manifolds. The last 11 chapters cover Morse theory, index of vector fields, Poincare duality, vector bundles, connections and curvature, Chern and Euler classes, and Thom isomorphism, and the book ends with the general Gauss-Bonnet theorem. The text includes well 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. De Rham Cohomology and Characteristic Classes Buch (fremdspr.) Taschenbuch 01.01.1997 Bücher>Fremdsprachige Bücher>Englische Bücher, Cambridge University Press, .199

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ISBN: 9780521589567

ID: 9780521589567

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. Books, [PU: Cambridge University Press]

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ISBN: 9780521589567

ID: 88422632

Erscheinungsdatum: 01/1997, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: From Calculus to Cohomology: de Rham Cohomology and Characteristic Classes, Autor: Madsen, Ib // Tornehave, Jergen // Madsen/Tornehave, Verlag: CAMBRIDGE UNIV PR, Sprache: Englisch, Schlagworte: MATHEMATICS // Topology // Geometry // General // Geometrie, Rubrik: Mathematik // Topologie, Seiten: 296, Gewicht: 513 gr, Verkäufer: averdo Sachbücher, [PU: Cambridge University Press]

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ISBN: 9780521589567

Paperback, [PU: CAMBRIDGE UNIVERSITY PRESS], This text 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 studying cohomology, curvature, and their applications., Differential & Riemannian Geometry

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** Details of the book - From Calculus to Cohomology: de Rham Cohomology and Characteristic Classes**

EAN (ISBN-13): 9780521589567

ISBN (ISBN-10): 0521589568

Hardcover

Paperback

Publishing year: 1997

Publisher: CAMBRIDGE UNIV PR

296 Pages

Weight: 0,513 kg

Language: eng/Englisch

Book in our database since 2007-04-29T08:11:13-04:00 (New York)

Detail page last modified on 2019-09-05T02:16:27-04:00 (New York)

ISBN/EAN: 0521589568

ISBN - alternate spelling:

0-521-58956-8, 978-0-521-58956-7

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