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  1. Bog
  2. Geometri
  3. Differential- og Riemannsk geometri

Differential Forms

Af: Peter Haine, Victor Guillemin Engelsk Hardback

Differential Forms

Af: Peter Haine, Victor Guillemin Engelsk Hardback
Tjek vores konkurrenters priser
'Guillemin and Haine’s goal is to construct a well-documented road map that extends undergraduate understanding of multivariable calculus into the theory of differential forms. Throughout, the authors emphasize connections between differential forms and topology while making connections to single and multivariable calculus via the change of variables formula, vector space duals, physics; classical mechanisms, div, curl, grad, Brouwer’s fixed-point theorem, divergence theorem, and Stokes’s theorem … The exercises support, apply and justify the developing road map.'CHOICEThere already exist a number of excellent graduate textbooks on the theory of differential forms as well as a handful of very good undergraduate textbooks on multivariable calculus in which this subject is briefly touched upon but not elaborated on enough.The goal of this textbook is to be readable and usable for undergraduates. It is entirely devoted to the subject of differential forms and explores a lot of its important ramifications.In particular, our book provides a detailed and lucid account of a fundamental result in the theory of differential forms which is, as a rule, not touched upon in undergraduate texts: the isomorphism between the Cech cohomology groups of a differential manifold and its de Rham cohomology groups.
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Tjek vores konkurrenters priser
'Guillemin and Haine’s goal is to construct a well-documented road map that extends undergraduate understanding of multivariable calculus into the theory of differential forms. Throughout, the authors emphasize connections between differential forms and topology while making connections to single and multivariable calculus via the change of variables formula, vector space duals, physics; classical mechanisms, div, curl, grad, Brouwer’s fixed-point theorem, divergence theorem, and Stokes’s theorem … The exercises support, apply and justify the developing road map.'CHOICEThere already exist a number of excellent graduate textbooks on the theory of differential forms as well as a handful of very good undergraduate textbooks on multivariable calculus in which this subject is briefly touched upon but not elaborated on enough.The goal of this textbook is to be readable and usable for undergraduates. It is entirely devoted to the subject of differential forms and explores a lot of its important ramifications.In particular, our book provides a detailed and lucid account of a fundamental result in the theory of differential forms which is, as a rule, not touched upon in undergraduate texts: the isomorphism between the Cech cohomology groups of a differential manifold and its de Rham cohomology groups.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 272
ISBN-13: 9789813272774
Indbinding: Hardback
Udgave:
ISBN-10: 9813272775
Kategori: Differential- og Riemannsk geometri
Udg. Dato: 25 mar 2019
Længde: 17mm
Bredde: 237mm
Højde: 161mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 25 mar 2019
Forfatter(e): Peter Haine, Victor Guillemin
Forfatter(e) Peter Haine, Victor Guillemin

Kategori Differential- og Riemannsk geometri

ISBN-13 9789813272774

Sprog Engelsk

Indbinding Hardback

Sider 272

Udgave

Længde 17mm

Bredde 237mm

Højde 161mm

Udg. Dato 25 mar 2019

Oplagsdato 25 mar 2019

Forlag World Scientific Publishing Co Pte Ltd

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