Integrable Geodesic Flows on Two-Dimensional Surfaces, A.V. Bolsinov; A.T. Fomenko

Автор: Dal`Bo
Название: Geodesic and Horocyclic Trajectories
ISBN: 085729072X ISBN-13(EAN): 9780857290724
Издательство: Springer
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Описание: Geodesic and Horocyclic Trajectories presents an introduction to the topological dynamics of two classical flows associated with surfaces of curvature 1, namely the geodesic and horocycle flows.

Автор: Kenner, Hugh
Название: Geodesic math and how to use it
ISBN: 0520239318 ISBN-13(EAN): 9780520239319
Издательство: Wiley
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Описание: Twenty-five years after geodesic domes were first introduced, this text presents a method of design and provides a step-by-step method for producing mathematical specifications for orthodox geodesic domes, as well as for a variety of elliptical, super-elliptical and other nonspherical contours.

Автор: Franchini, Fabio
Название: Introduction to integrable techniques for one-dimensional quantum systems
ISBN: 3319484869 ISBN-13(EAN): 9783319484860
Издательство: Springer
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Цена: 6986.00 р.
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Автор: N. J. Hitchin
Название: Integrable Systems
ISBN: 0199676771 ISBN-13(EAN): 9780199676774
Издательство: Oxford Academ
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Описание: Designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors, this book has its origins in a lecture series given by the internationally renowned authors. Written in an accessible, informal style, it fills a gap in the existing literature.

Автор: A.V. Bolsinov; A.T. Fomenko
Название: Integrable Geodesic Flows on Two-Dimensional Surfaces
ISBN: 1461369339 ISBN-13(EAN): 9781461369332
Издательство: Springer
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Цена: 34937.00 р.
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Описание: One of the most important and interesting problems consists in the classification of integrable flows up to different equivalence relations such as (1) an isometry, (2) the Liouville equivalence, (3) the trajectory equivalence (smooth and continuous), and (4) the geodesic equivalence.

Автор: Bolsinov
Название: Geometry and Dynamics of Integrable Systems
ISBN: 3319335022 ISBN-13(EAN): 9783319335025
Издательство: Springer
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Цена: 3492.00 р.
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Описание: Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matem?tica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields. Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.

Автор: Chaohao Gu; Anning Hu; Zixiang Zhou
Название: Darboux Transformations in Integrable Systems
ISBN: 9048167884 ISBN-13(EAN): 9789048167883
Издательство: Springer
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Цена: 15672.00 р.
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Автор: Ron Donagi; Mauro Francaviglia; Silvio Greco; Bori
Название: Integrable Systems and Quantum Groups
ISBN: 3540605428 ISBN-13(EAN): 9783540605423
Издательство: Springer
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Цена: 8378.00 р.
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Описание: The aim of this CIME session was to review the state of the art in the development of the theory of integrable systems and their relations with quantum groups. The papers in this volume contain both a survey of problems and a number of original contributions to the subject.

Автор: Gerdjikov Vladimir
Название: Integrable Hamiltonian Hierarchies
ISBN: 3642095771 ISBN-13(EAN): 9783642095771
Издательство: Springer
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Описание: This book presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soliton equations and to study their hierarchies.