Analysis and Algebra on Differentiable Manifolds, Gadea Pedro

Автор: Pedro M. Gadea; Jaime Mu?oz Masqu?; Ihor V. Mykyty
Название: Analysis and Algebra on Differentiable Manifolds
ISBN: 9400793308 ISBN-13(EAN): 9789400793309
Издательство: Springer
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Цена: 9776.00 р.
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Описание: This new edition offers solved exercises on differentiable manifolds, Lie groups, fibre bundles and Riemannian manifolds. Includes exercises ranging from elementary computations to sophisticated tools, and studies solved problems of differentiable manifolds.

Автор: Frank W. Warner
Название: Foundations of Differentiable Manifolds and Lie Groups
ISBN: 1441928200 ISBN-13(EAN): 9781441928207
Издательство: Springer
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Цена: 7680.00 р.
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Описание: Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this beginning graduate-level text extremely useful.

Автор: Serge Lang
Название: Introduction to Differentiable Manifolds
ISBN: 1441930191 ISBN-13(EAN): 9781441930194
Издательство: Springer
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Цена: 7680.00 р.
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Описание: This book contains essential material that every graduate student must know. Written with Serge Lang's inimitable wit and clarity, the volume introduces the reader to manifolds, differential forms, Darboux's theorem, Frobenius, and all the central features of the foundations of differential geometry. Lang lays the basis for further study in geometric analysis, and provides a solid resource in the techniques of differential topology. The book will have a key position on my shelf. -Steven Krantz, Washington University in St. Louis This is an elementary, finite dimensional version of the author's classic monograph, Introduction to Differentiable Manifolds (1962), which served as the standard reference for infinite dimensional manifolds. It provides a firm foundation for a beginner's entry into geometry, topology, and global analysis. The exposition is unencumbered by unnecessary formalism, notational or otherwise, which is a pitfall few writers of introductory texts of the subject manage to avoid. The author's hallmark characteristics of directness, conciseness, and structural clarity are everywhere in evidence. A nice touch is the inclusion of more advanced topics at the end of the book, including the computation of the top cohomology group of a manifolds, a generalized divergence theorem of Gauss, and an elementary residue theorem of several complex variables. If getting to the main point of an argument or having the key ideas of a subject laid bare is important to you, then you would find the reading of this book a satisfying experience.

Автор: S.S. Chern; F.R. Smith; Georges de Rham
Название: Differentiable Manifolds
ISBN: 3642617549 ISBN-13(EAN): 9783642617546
Издательство: Springer
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Цена: 12577.00 р.
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Описание: In this work, I have attempted to give a coherent exposition of the theory of differential forms on a manifold and harmonic forms on a Riemannian space.