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From Calculus to Cohomology
- De Rham Cohomology and Characteristic Classes
Engelsk
Bogcover for From Calculus to Cohomology af Jxrgen Tornehave, Ib H. Madsen, 9780521589567
Specifikationer
Sprog:
Engelsk
Sider:
296
ISBN-13:
9780521589567
Indbinding:
Paperback
ISBN-10:
0521589568
Udg. Dato:
13 mar 1997
Størrelse i cm:
23,5 x 19,0 x 1,6
Oplagsdato:
13 mar 1997

From Calculus to Cohomology

- De Rham Cohomology and Characteristic Classes
Engelsk
Paperback 1997
Format:

Bog beskrivelse
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.
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Specifikationer
Sprog:
Engelsk
Sider:
296
ISBN-13:
9780521589567
Indbinding:
Paperback
ISBN-10:
0521589568
Udg. Dato:
13 mar 1997
Størrelse i cm:
23,5 x 19,0 x 1,6
Oplagsdato:
13 mar 1997
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