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
Рейтинг:
Цена: 6986.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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: Banyaga Augustin Et Al
Название: Brief Introduction To Symplectic And Contact Manifolds, A
ISBN: 9814696706 ISBN-13(EAN): 9789814696708
Издательство: World Scientific Publishing
Цена: 9821.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains many exercises, some of which are solved only in the last chapter.

Автор: V.V. Trofimov
Название: Introduction to Geometry of Manifolds with Symmetry
ISBN: 0792325613 ISBN-13(EAN): 9780792325611
Издательство: Springer
Рейтинг:
Цена: 15372.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Provides an introduction to the geometry of manifolds equipped with additional structures connected with the notion of symmetry. This volume presents the elements of differential geometry and is devoted to general topology, part to the theory of smooth manifolds, and the remaining sections deal with manifolds with additional structures.

Автор: Serge Lang
Название: Introduction to Differentiable Manifolds
ISBN: 1441930191 ISBN-13(EAN): 9781441930194
Издательство: Springer
Рейтинг:
Цена: 7680.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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: Jan Cnops
Название: An Introduction to Dirac Operators on Manifolds
ISBN: 1461265967 ISBN-13(EAN): 9781461265962
Издательство: Springer
Рейтинг:
Цена: 11173.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Dirac operators play an important role in several domains of mathematics and physics, for example: index theory, elliptic pseudodifferential operators, electromagnetism, particle physics, and the representation theory of Lie groups. In this essentially self-contained work, the basic ideas underlying the concept of Dirac operators are explored. Starting with Clifford algebras and the fundamentals of differential geometry, the text focuses on two main properties, namely, conformal invariance, which determines the local behavior of the operator, and the unique continuation property dominating its global behavior. Spin groups and spinor bundles are covered, as well as the relations with their classical counterparts, orthogonal groups and Clifford bundles. The chapters on Clifford algebras and the fundamentals of differential geometry can be used as an introduction to the above topics, and are suitable for senior undergraduate and graduate students. The other chapters are also accessible at this level so that this text requires very little previous knowledge of the domains covered. The reader will benefit, however, from some knowledge of complex analysis, which gives the simplest example of a Dirac operator. More advanced readers---mathematical physicists, physicists and mathematicians from diverse areas---will appreciate the fresh approach to the theory as well as the new results on boundary value theory.

Автор: Lafontaine, Jacques
Название: Introduction to differential manifolds
ISBN: 3319207342 ISBN-13(EAN): 9783319207346
Издательство: Springer
Рейтинг:
Цена: 8384.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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.