ISBN: 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 poi… More...

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. New Textbooks>Trade Paperback>Science>Mathematics>Mathematics, Cambridge University Press Core >1 >T<

1997, ISBN: 0521589568

[EAN: 9780521589567], Neubuch, [SC: 0.0], [PU: Cambridge University Press], Druck auf Anfrage Neuware - Printed after ordering - De Rham cohomology is the cohomology of differential forms… More...

[EAN: 9780521589567], Neubuch, [SC: 0.0], [PU: Cambridge University Press], 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., Books<

ISBN: 0521589568

De Rham cohomology is the cohomology of differential forms. It requires no prior knowledge of the concepts of algebraic topology or cohomology. The first 10 chapters study cohomology of o… More...

De Rham cohomology is the cohomology of differential forms. 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. Brand new, Festpreisangebot, [LT: FixedPrice], [PU: Cambridge University Press]<