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Differential Forms
Engelsk
Bogcover for Differential Forms af Peter Haine, Victor Guillemin, 9789813272774
Specifikationer
Sprog:
Engelsk
Sider:
272
ISBN-13:
9789813272774
Indbinding:
Hardback
ISBN-10:
9813272775
Udg. Dato:
25 mar 2019
Størrelse i cm:
16,1 x 23,7 x 1,7
Oplagsdato:
25 mar 2019
Forfatter(e):
Hardback 2019
Format:

Bog beskrivelse
'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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Specifikationer
Sprog:
Engelsk
Sider:
272
ISBN-13:
9789813272774
Indbinding:
Hardback
ISBN-10:
9813272775
Udg. Dato:
25 mar 2019
Størrelse i cm:
16,1 x 23,7 x 1,7
Oplagsdato:
25 mar 2019
Forfatter(e):
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