The Riemann Problem, Complete Integrability and Arithmetic Applications, D. Chudnovsky; G. Chudnovsky
Автор: Lakshmanan, Muthusamy, Rajaseekar, Shanmuganathan Название: Nonlinear Dynamics Integrability, Chaos and Patterns ISBN: 3642628729 ISBN-13(EAN): 9783642628726 Издательство: Springer Рейтинг: Цена: 25149.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Ralph P.Jr. Boas Название: Integrability Theorems for Trigonometric Transforms ISBN: 3642871100 ISBN-13(EAN): 9783642871108 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph is areport on the present state of a fairly coherent collection of problems about which a sizeable literature has grown up in recent years. In this literature, some of the problems have, as it happens, been analyzed in great detail, whereas other very similar ones have been treated much more superficially. I have not attempted to improve on the literature by making equally detailed presentations of every topic. I have also not aimed at encyclopedic completeness. I have, however, pointed out some possible generalizations by stating a number of questions; some of these could doubtless be disposed of in a few minutes; some are probably quite difficult. This monograph was written at the suggestion of B. SZ.-NAGY. I take this opportunity of pointing out that his paper 1] inspired the greater part of the material that is presented here; in particular, it contains the happy idea of focusing Y attention on the multipliers nY-i, x- . R. ASKEY, P. HEYWOOD, M. and S. IZUMI, and S. WAINGER have kindly communicated some of their recent results to me before publication. I am indebted for help on various points to L. S. BOSANQUET, S. M. EDMONDS, G. GOES, S. IZUMI, A. ZYGMUND, and especially to R. ASKEY. My work was supported by the National Science Foundation under grants GP-314, GP-2491, GP-3940 and GP-5558. Evanston, Illinois, February, 1967 R. P. Boas, Jr. Contents Notations ... 1. Introduetion 3 2. Lemmas .. 7 3. Theorems with positive or decreasing functions .
Автор: A.K. Prykarpatsky; I.V. Mykytiuk Название: Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds ISBN: 0792350901 ISBN-13(EAN): 9780792350903 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: A.K. Prykarpatsky; I.V. Mykytiuk Название: Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds ISBN: 9401060967 ISBN-13(EAN): 9789401060967 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Edmunds David E., Lang Jan, Mendez Osvaldo Название: Differential Operators on Spaces of Variable Integrability ISBN: 9814596310 ISBN-13(EAN): 9789814596312 Издательство: World Scientific Publishing Рейтинг: Цена: 9821.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the subject of much vigorous research by functional analysts, function-space analysts and specialists in nonlinear analysis. These spaces have attracted attention not only because of their intrinsic mathematical importance as natural, interesting examples of non-rearrangement-invariant function spaces but also in view of their applications, which include the mathematical modeling of electrorheological fluids and image restoration.The main focus of this book is to provide a solid functional-analytic background for the study of differential operators on spaces with variable integrability. It includes some novel stability phenomena which the authors have recently discovered.At the present time, this is the only book which focuses systematically on differential operators on spaces with variable integrability. The authors present a concise, natural introduction to the basic material and steadily move toward differential operators on these spaces, leading the reader quickly to current research topics.
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.
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.
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.
Автор: Xiang Zhang Название: Integrability of Dynamical Systems: Algebra and Analysis ISBN: 981104225X ISBN-13(EAN): 9789811042256 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Mark Adler; Pierre van Moerbeke; Pol Vanhaecke Название: Algebraic Integrability, Painlev? Geometry and Lie Algebras ISBN: 3642061281 ISBN-13(EAN): 9783642061288 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: A.B. Shabat; A. Gonz?lez-L?pez; M. Ma?as; L. Mart? Название: New Trends in Integrability and Partial Solvability ISBN: 1402018355 ISBN-13(EAN): 9781402018350 Издательство: Springer Рейтинг: Цена: 27951.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Contains discussions of some of the exciting subjects in the fields of integrability and partial solvability. This work contains topics ranging from the symmetry approach to integrability and partial solvability to methods for dealing with reductions and deformations of integrable systems. It also discusses the concept of integrability.
Автор: F. Calogero; Vladimir E. Zakharov; N. Ercolani; H. Название: What Is Integrability? ISBN: 3642887058 ISBN-13(EAN): 9783642887055 Издательство: Springer Рейтинг: Цена: 13060.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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