159,96 €
188,19 €
-15% su kodu: ENG15
From Calculus to Cohomology
159,96 € 
- Išsiųsime per 10–14 d.d.
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 field…
159.96
2025-08-04 23:59:00
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- Autorius: Ib Henning Madsen, Jorgen Tornehave
- Leidėjas: Cambridge University Press
- Metai: 1997
- Puslapiai: 296
- ISBN-10: 0521589568
- ISBN-13: 9780521589567
- Formatas: 19.2 x 23.8 x 1.6 cm, minkšti viršeliai
- Kalba: Anglų
- Extra -15 % nuolaida šiai knygai su kodu: ENG15
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Aprašymas
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 anyone who wishes to know about cohomology, curvature, and their applications.
--back cover
EXTRA 15 % nuolaida su kodu: ENG15
159,96 €
188,19 €
Išsiųsime per 10–14 d.d.
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- Autorius: Ib Henning Madsen, Jorgen Tornehave
- Leidėjas: Cambridge University Press
- Metai: 1997
- Puslapiai: 296
- ISBN-10: 0521589568
- ISBN-13: 9780521589567
- Formatas: 19.2 x 23.8 x 1.6 cm, minkšti viršeliai
- Kalba: Anglų
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 anyone who wishes to know about cohomology, curvature, and their applications.
--back cover
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 anyone who wishes to know about cohomology, curvature, and their applications.
--back cover
Atsiliepimai