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Integrability and Nonintegrability in Geometry and Mechanics, A.T. Fomenko


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Автор: A.T. Fomenko
Название:  Integrability and Nonintegrability in Geometry and Mechanics
ISBN: 9789401078801
Издательство: Springer
Классификация: ISBN-10: 9401078807
Обложка/Формат: Paperback
Страницы: 343
Вес: 0.51 кг.
Дата издания: 01.10.2011
Серия: Mathematics and its Applications
Язык: English
Размер: 234 x 156 x 19
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Approach your problems from the right end It isnt that they cant see the solution. It is and begin with the answers. 1hen one day, that they cant see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father The Hermit Oad in Crane Feathers in R. Brown The point of a Pin . - 1111 Oulik. n. . Chi -. - Mm Mu, d. , Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the tree of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as experimental mathematics, CFD, completely integrable systems, chaos, synergetics and large-scale order, which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.


Differential Equations - Geometry, Symmetries and Integrability

Автор: Boris Kruglikov; Valentin Lychagin; Eldar Straume
Название: Differential Equations - Geometry, Symmetries and Integrability
ISBN: 3642269338 ISBN-13(EAN): 9783642269332
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This book contains papers presented at the Abel Symposium 2008, which focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. It presents a modern approach to this classical subject.

Integrability

Автор: Alexander Mikhailov
Название: Integrability
ISBN: 3642099904 ISBN-13(EAN): 9783642099908
Издательство: Springer
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Цена: 11179.00 р.
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Описание: Integrable systems are used for a range of applications in modern theoretical and mathematical physics. This text presents various views on the definition of integrable systems and develops methods and tests for integrability based on those definitions.

Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds

Автор: A.K. Prykarpatsky; I.V. Mykytiuk
Название: Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds
ISBN: 0792350901 ISBN-13(EAN): 9780792350903
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Provides a detailed exposition of modern Lie-algebraic theory of integrable nonlinear dynamic systems on manifolds and its applications to mathematical physics, classical mechanics and hydrodynamics. This book offers solutions to many quantization procedure problems. It is for graduate-level students, researchers and mathematical physicists.

Symmetries and Integrability of Difference Equations

Автор: Decio Levi; Rapha?l Rebelo; Pavel Winternitz
Название: Symmetries and Integrability of Difference Equations
ISBN: 3319566652 ISBN-13(EAN): 9783319566658
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations.

Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis

Автор: Blackmore Denis Et Al
Название: Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis
ISBN: 9814327158 ISBN-13(EAN): 9789814327152
Издательство: World Scientific Publishing
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Цена: 28512.00 р.
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Описание: Presents a grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to the developments in the field. This book begins with an introduction modern integrable dynamical systems theory, treating such topics as Liouville-Arnold and Mischenko-Fomenko integrability.

Classical Nonintegrability, Quantum Chaos

Автор: Andreas Knauf; Yakov G. Sinai
Название: Classical Nonintegrability, Quantum Chaos
ISBN: 3764357088 ISBN-13(EAN): 9783764357085
Издательство: Springer
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Цена: 4961.00 р.
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Описание: Includes several lectures given at the DMV Seminar `Classical Nonintegrability, Quantum Chaos`. This work features chapters on irregular scattering and on expanding maps that illustrate techniques in nonlinear dynamics using the simple examples.

Differential Equations - Geometry, Symmetries and Integrability

Автор: Boris Kruglikov; Valentin Lychagin; Eldar Straume
Название: Differential Equations - Geometry, Symmetries and Integrability
ISBN: 3642008720 ISBN-13(EAN): 9783642008726
Издательство: Springer
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Цена: 23058.00 р.
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Описание: The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. This title consists of original contributions and overview lectures of the participants of the Symposium. It includes papers that present the modern approach to this classical subject.

Algebraic Integrability, Painlev? Geometry and Lie Algebras

Автор: Mark Adler; Pierre van Moerbeke; Pol Vanhaecke
Название: Algebraic Integrability, Painlev? Geometry and Lie Algebras
ISBN: 3642061281 ISBN-13(EAN): 9783642061288
Издательство: Springer
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Цена: 19564.00 р.
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Описание: In the early 70's and 80's the field of integrable systems was in its prime youth: results and ideas were mushrooming all over the world. It was during the roaring 70's and 80's that a first version of the book was born, based on our research and on lectures which each of us had given. We owe many ideas to our colleagues Teruhisa Matsusaka and David Mumford, and to our inspiring graduate students (Constantin Bechlivanidis, Luc Haine, Ahmed Lesfari, Andrew McDaniel, Luis Piovan and Pol Vanhaecke). As it stood, our first version lacked rigor and precision, was rough, dis- connected and incomplete. . . In the early 90's new problems appeared on the horizon and the project came to a complete standstill, ultimately con- fined to a floppy. A few years ago, under the impulse of Pol Vanhaecke, the project was revived and gained real momentum due to his insight, vision and determination. The leap from the old to the new version is gigantic. The book is designed as a teaching textbook and is aimed at a wide read- ership of mathematicians and physicists, graduate students and professionals.

Weighted Littlewood-Paley Theory and Exponential-Square Integrability

Автор: Michael Wilson
Название: Weighted Littlewood-Paley Theory and Exponential-Square Integrability
ISBN: 3540745823 ISBN-13(EAN): 9783540745822
Издательство: Springer
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Цена: 6282.00 р.
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Описание: Littlewood-Paley theory extends some of the benefits of orthogonality to situations where it doesn`t make sense by letting certain oscillatory infinite series of functions be controlled in terms of infinite series of non-negative functions. It was discovered that this control could be made sharper. This book introduces those discoveries.

Integrability of Dynamical Systems: Algebra and Analysis

Автор: Xiang Zhang
Название: Integrability of Dynamical Systems: Algebra and Analysis
ISBN: 981104225X ISBN-13(EAN): 9789811042256
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This is the first book to systematically state the fundamental theory of integrability and its development of ordinary differential equations with emphasis on the Darboux theory of integrability and local integrability together with their applications.

What Is Integrability?

Автор: F. Calogero; Vladimir E. Zakharov; N. Ercolani; H.
Название: What Is Integrability?
ISBN: 3642887058 ISBN-13(EAN): 9783642887055
Издательство: Springer
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Цена: 13060.00 р.
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Описание: For example, the kinetic gas theory may be considered to be a theory of a system which is trivially integrable: the system of classical noninteracting particles.

Nonlinear Dynamics  Integrability, Chaos and Patterns

Автор: Lakshmanan, Muthusamy, Rajaseekar, Shanmuganathan
Название: Nonlinear Dynamics Integrability, Chaos and Patterns
ISBN: 3642628729 ISBN-13(EAN): 9783642628726
Издательство: Springer
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Цена: 25149.00 р.
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Описание: Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in physics, mathematics, engineering and applied sciences who wish to gain a broad knowledge of nonlinear dynamics. It describes fundamental concepts, theoretical procedures, experimental and numerical techniques and technological applications of nonlinear dynamics. Numerous examples and problems are included to facilitate the understanding of the concepts and procedures described. In addition to 16 chapters of main material, the book contains 10 appendices which present in-depth mathematical formulations involved in the analysis of various nonlinear systems.


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