From Calculus to Cohomology by Ib H. Madsen, Paperback, 9780521589567 | Buy online at The Nile
From Calculus to Cohomology, 9780521589567
Paperback
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.

From Calculus to Cohomology

De Rham Cohomology and Characteristic Classes

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$144.89

  • Paperback

    296 pages

  • Release Date

    13 March 1997

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Summary

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 vect…

Book Details

ISBN-13:9780521589567
ISBN-10:0521589568
Author:Ib H. Madsen, Jxrgen Tornehave
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Format:Paperback
Number of Pages:296
Release Date:13 March 1997
Weight:615g
Dimensions:247mm x 174mm x 19mm
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Critics Review

’… a self-contained exposition.’ L’Enseignement Mathematique ‘This is a very fine book. It treats de Rham cohomology in an intellectually rigourous yet accessible manner which makes it ideal for a beginning graduate student. Moreover, it gets beyond the minimal agenda that many authors have set … A welcome addition.’ Mathematika ‘ … a very polished completely self-contained introduction to the theory of differential forms … the book is very well-written … I recommend the book as an excellent first reading about curvature, cohomology and algebraic topology to anyone interested in these themes from students to active researchers, and especially to those who deliver lectures concerning the mentioned fields.’ Acta. Sci. Math. ‘The book is written in a precise and clear language, it combines well topics from differential geometry, differential topology and global analysis.’ European Mathematical Society

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