Foundations of Differentiable Manifolds and Lie Groups, Frank W. Warner

Автор: Ratcliffe
Название: Foundations of Hyperbolic Manifolds
ISBN: 0387331972 ISBN-13(EAN): 9780387331973
Издательство: Springer
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Описание: This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. This book has been heavily class-tested and each chapter contains exercises and a section of historical remarks.

Автор: Gadea Pedro
Название: Analysis and Algebra on Differentiable Manifolds
ISBN: 9400759517 ISBN-13(EAN): 9789400759510
Издательство: Springer
Цена: 11878.00 р.
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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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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.

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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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: Serge Lang
Название: Introduction to Differentiable Manifolds
ISBN: 1441930191 ISBN-13(EAN): 9781441930194
Издательство: Springer
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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.