Introduction to Geometry of Manifolds with Symmetry, V.V. Trofimov

Автор: Tu, Loring W.
Название: Introduction to manifolds
ISBN: 1441973990 ISBN-13(EAN): 9781441973993
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory.

Автор: Lafontaine, Jacques
Название: Introduction to differential manifolds
ISBN: 3319207342 ISBN-13(EAN): 9783319207346
Издательство: Springer
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Цена: 8384.00 р.
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Описание: The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, differential forms, Lie groups, and a few more sophisticated topics such as de Rham cohomology, degree theory and the Gauss-Bonnet theorem for surfaces.Its ambition is to give solid foundations.

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.