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From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes
Ib H. Madsen
€ 58.60
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Description for From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes
Paperback. An introductory textbook on cohomology and curvature with emphasis on applications. Num Pages: 296 pages, line drawings. BIC Classification: PBMP; PBPD. Category: (P) Professional & Vocational. Dimension: 235 x 190 x 16. Weight in Grams: 540.
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 ... Read 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 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 ... Read more
Product Details
Format
Paperback
Publication date
1997
Publisher
Cambridge University Press
Condition
New
Number of Pages
296
Place of Publication
Cambridge, United Kingdom
ISBN
9780521589567
SKU
V9780521589567
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-1
Reviews for From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes
'… a self-contained exposition.' L'Enseignement Mathématique '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 ... Read more