Manifolds, Tensor Analysis, and Applications, Ralph Abraham; Jerrold E. Marsden; Tudor Ratiu
Автор: Toshikazu Sunada Название: Geometry and Analysis on Manifolds ISBN: 3540501134 ISBN-13(EAN): 9783540501138 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Taniguchi Symposium on global analysis on manifolds focused mainly on the relationships between some geometric structures of manifolds and analysis, especially spectral analysis on noncompact manifolds. This volume includes are expanded versions of most of the invited lectures.
Автор: Renteln Название: Manifolds, Tensors, and Forms ISBN: 1107042194 ISBN-13(EAN): 9781107042193 Издательство: Cambridge Academ Рейтинг: Цена: 10771.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book`s clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. It features over 250 detailed exercises and discusses a variety of applications.
1 Introduction.- 2 Notes on point set topology.- 3 The finite dimensional real vector space.- 4 Tensor Algebra.- 5 Affine space and euclidean space.- 6 Tensor analysis in euclidean space.- 7 A primer on smooth manifolds.- B Further Reading.
Описание: Written with a two-fold approach in mind, this book adds to the theory of submanifolds, the missing part of lightlike (degenerate) submanifolds of semi-Riemannian manifolds, and applies relevant mathematical results to branches of physics. It is useful to graduate students, research assistants and faculty working in geometry and physics.
Автор: Gadea Pedro Название: Analysis and Algebra on Differentiable Manifolds ISBN: 9400759517 ISBN-13(EAN): 9789400759510 Издательство: Springer Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Wang Feng Yu Название: Analysis for Diffusion Processes on Riemannian Manifolds ISBN: 9814452645 ISBN-13(EAN): 9789814452649 Издательство: World Scientific Publishing Рейтинг: Цена: 19800.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments. Many results contained here (for example, the formula of the curvature using derivatives of the semigroup) are new among existing monographs even in the case without boundary.
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 Рейтинг: Цена: 9776.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Takushiro Ochiai; Toshiki Mabuchi; Yoshiaki Maeda; Название: Geometry and Analysis on Manifolds ISBN: 3319115227 ISBN-13(EAN): 9783319115221 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book will be of interest to researchers in the fields of differential geometry, complex geometry, and several complex variables geometry, as well as to graduate students in mathematics.
Автор: Takushiro Ochiai; Toshiki Mabuchi; Yoshiaki Maeda; Название: Geometry and Analysis on Manifolds ISBN: 3319352814 ISBN-13(EAN): 9783319352817 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book will be of interest to researchers in the fields of differential geometry, complex geometry, and several complex variables geometry, as well as to graduate students in mathematics.
Автор: T. Aubin Название: Nonlinear Analysis on Manifolds. Monge-Amp?re Equations ISBN: 0387907041 ISBN-13(EAN): 9780387907048 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: On the other hand, geometric problems often lead to limiting cases of known problems in analysis, sometimes there is even more than one approach, and the already existing theoretical studies are inadequate to solve them.
Автор: Oscar Garcia-Prada; Raymond O. Wells Название: Differential Analysis on Complex Manifolds ISBN: 144192535X ISBN-13(EAN): 9781441925350 Издательство: Springer Рейтинг: Цена: 6841.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems.
The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of the developments in the field during the decades since the book appeared.
From a review of the 2nd Edition:
.."the new edition of Professor Wells' book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work."
- Nigel Hitchin, Bulletin of the London Mathematical Society
"Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material."
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