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Aspects of Integrability of Differential Systems and Fields, Costas J. Papachristou


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Автор: Costas J. Papachristou
Название:  Aspects of Integrability of Differential Systems and Fields
ISBN: 9783030350017
Издательство: Springer
Классификация:



ISBN-10: 3030350010
Обложка/Формат: Soft cover
Страницы: 94
Вес: 0.18 кг.
Дата издания: 2019
Серия: SpringerBriefs in Physics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 20 tables, color; 20 illustrations, black and white; viii, 94 p. 20 illus.
Размер: 235 x 155 x 6
Читательская аудитория: Professional & vocational
Основная тема: Physics
Подзаголовок: A Mathematical Primer for Physicists
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book serves as an introduction to the concept of integrability as it applies to systems of differential equations as well as to vector-valued fields. The author focuses on specific aspects of integrability that are often encountered in a variety of problems in applied mathematics, physics and engineering. The following general cases of integrability are examined: (a) path-independence of line integrals of vector fields on the plane and in space; (b) integration of a system of ordinary differential equations by using first integrals; and (c) integrable systems of partial differential equations. Special topics include the integration of analytic functions and some elements from the geometric theory of differential systems. Certain more advanced subjects, such as Lax pairs and B?cklund transformations, are also discussed.The book is written at an intermediate level for educational purposes. The presentation is as simple as the topics allow, often sacrificing mathematical rigor in favor of pedagogical efficiency.
Дополнительное описание: Integrability on the plane and in space.- Integrability on the complex plane.- Ordinary differential equations.- Systems of ordinary differential equations.- Differential systems: Geometric viewpoint.- Integrable systems of partial differential equations.



Trends In Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of 9Th International Workshop On Complex Structures, Integrability And Vector Fields

Автор: Sekigawa Kouei Et Al
Название: Trends In Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of 9Th International Workshop On Complex Structures, Integrability And Vector Fields
ISBN: 9814277711 ISBN-13(EAN): 9789814277716
Издательство: World Scientific Publishing
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Цена: 17424.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Offers information for researchers in complex analysis, differential geometry and mathematical physics. This book contains various developments and trends in the studies on constructions of holomorphic Cliffordian functions; and, the swelling constructions of minimal surfaces with higher genus in flat tori.

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.

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.

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.

Differential Galois Theory and Non-Integrability of Hamiltonian Systems

Автор: Juan J. Morales Ruiz
Название: Differential Galois Theory and Non-Integrability of Hamiltonian Systems
ISBN: 3034897413 ISBN-13(EAN): 9783034897419
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book is devoted to the relation between two different concepts of integrability: the complete integrability of complex analytical Hamiltonian systems and the integrability of complex analytical linear differential equations.

Differential Galois Theory and Non-Integrability of Hamiltonian Systems

Автор: Juan J. Morales Ruiz
Название: Differential Galois Theory and Non-Integrability of Hamiltonian Systems
ISBN: 3034807201 ISBN-13(EAN): 9783034807203
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book is devoted to the relation between two different concepts of integrability: the complete integrability of complex analytical Hamiltonian systems and the integrability of complex analytical linear differential equations.

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.

The Symbolic Computation of Integrability Structures for Partial Differential Equations

Автор: Krasil`shchik
Название: The Symbolic Computation of Integrability Structures for Partial Differential Equations
ISBN: 3319716549 ISBN-13(EAN): 9783319716541
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This is the first book devoted to the task of computing integrability structures by computer. The symbolic computation of integrability operator is a computationally hard problem and the book covers a huge number of situations through tutorials.

Integrability of Nonlinear Systems

Автор: Yvette Kosmann-Schwarzbach; Basil Grammaticos; K.M
Название: Integrability of Nonlinear Systems
ISBN: 3642058353 ISBN-13(EAN): 9783642058356
Издательство: Springer
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Цена: 13059.00 р.
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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.

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.

Integrability, Supersymmetry and Coherent States

Автор: ?eng?l Kuru; Javier Negro; Luis M. Nieto
Название: Integrability, Supersymmetry and Coherent States
ISBN: 3030200868 ISBN-13(EAN): 9783030200862
Издательство: Springer
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Цена: 15372.00 р.
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Описание:

This volume shares and makes accessible new research lines and recent results in several branches of theoretical and mathematical physics, among them Quantum Optics, Coherent States, Integrable Systems, SUSY Quantum Mechanics, and Mathematical Methods in Physics. In addition to a selection of the contributions presented at the '6th International Workshop on New Challenges in Quantum Mechanics: Integrability and Supersymmetry', held in Valladolid, Spain, 27-30 June 2017, several high quality contributions from other authors are also included. The conference gathered 60 participants from many countries working in different fields of Theoretical Physics, and was dedicated to Prof. V?ronique Hussin—an internationally recognized expert in many branches of Mathematical Physics who has been making remarkable contributions to this field since the 1980s. The reader will find interesting reviews on the main topics from internationally recognized experts in each field, as well as other original contributions, all of which deal with recent applications or discoveries in the aforementioned areas.

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