Guillemin Victor, Haine Peter Differential Forms 9789813272774

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Автор: Guillemin Victor, Haine Peter
Название: Differential Forms
ISBN: 9789813272774
Издательство: World Scientific Publishing
Классификация:

Геометрия

Дифференциальная и риманова геометрия

ISBN-10: 9813272775
Обложка/Формат: Hardback
Страницы: 272
Вес: 0.54 кг.
Дата издания: 25.03.2019
Серия: Mathematics
Язык: English
Размер: 161 x 237 x 17
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Differential & Riemannian geometry, MATHEMATICS / Geometry / Differential,MATHEMATICS / Calculus,MATHEMATICS / Topology
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Поставляется из: Англии
Описание: Guillemin and Haine (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, Brouwer (TM)s fixed-point theorem, divergence theorem, and Stokes (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 Čech cohomology groups of a differential manifold and its de Rham cohomology groups.

Differential Forms, Guillemin Victor, Haine Peter