Differential Forms, Guillemin Victor, Haine Peter

Автор: Guillemin Victor, Haine Peter
Название: Differential Forms
ISBN: 9813272775 ISBN-13(EAN): 9789813272774
Издательство: World Scientific Publishing
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Цена: 84480.00 T
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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.

Автор: Fortney, Jon Pierre
Название: Visual introduction to differential forms and calculus on manifolds
ISBN: 3319969919 ISBN-13(EAN): 9783319969916
Издательство: Springer
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Цена: 65210.00 T
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Описание: With a clear writing style and easy-to- understand motivations for each topic, this book is primarily aimed at second- or third-year undergraduate math and physics students with a basic knowledge of vector calculus and linear algebra.

Автор: Lee, J.M.
Название: Manifolds and Differential Geometry. Graduate Studies in Mathematics, 107.
ISBN: 0821848151 ISBN-13(EAN): 9780821848159
Издательство: Mare Nostrum (Eurospan)
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Цена: 83600.00 T
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Описание: Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and structures of modern differential geometry. It includes the topics usually found in a course on differentiable manifolds, such as vector bundles, tensors, and de Rham cohomology.

Автор: Ravi P. Agarwal; Shusen Ding; Craig Nolder
Название: Inequalities for Differential Forms
ISBN: 1489983511 ISBN-13(EAN): 9781489983510
Издательство: Springer
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Цена: 135090.00 T
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Описание: This volume systematically presents a series of local and global estimates and inequalities for differential forms satisfying the A-harmonic equations. Integral homotopy, the Laplace-Beltrami, and gradient operator estimates are also included.

Автор: Tu, Loring W.
Название: Differential Geometry
ISBN: 3319550829 ISBN-13(EAN): 9783319550824
Издательство: Springer
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Цена: 59620.00 T
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Описание: Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein`s general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory.