Differential Forms

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Victor Guillemin (Massachusetts Inst Of Tech, Usa) Peter Haine (Massachusetts Inst Of Tech, Usa)

Differential Forms

Victor Guillemin (Massachusetts Inst Of Tech, Usa), Peter Haine (Massachusetts Inst Of Tech, Usa)

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Hardback

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English

World Scientific Publishing Co Pte Ltd
25 March 2019

Differential & Riemannian geometry

Summary
Details

'Guillemin and HaineaEUR (TM)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, BrouweraEUR (TM)s fixed-point theorem, divergence theorem, and StokesaEUR (TM)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.

By: Victor Guillemin (Massachusetts Inst Of Tech Usa), Peter Haine (Massachusetts Inst Of Tech, Usa)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
ISBN: 9789813272774
ISBN 10: 9813272775
Pages: 272
Publication Date: 25 March 2019
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active