Integrable Systems and Algebraic Geometry 2 Volume Paperback Set, Ron Donagi, Tony Shaska

Автор: Ron Donagi, Tony Shaska
Название: Integrable Systems and Algebraic Geometry: Volume 1
ISBN: 1108715745 ISBN-13(EAN): 9781108715744
Издательство: Cambridge Academ
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Описание: Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the text is accessible to graduate students and non-experts, as well as researchers.

Автор: Ron Donagi, Tony Shaska
Название: Integrable Systems and Algebraic Geometry: Volume 2
ISBN: 110871577X ISBN-13(EAN): 9781108715775
Издательство: Cambridge Academ
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Цена: 15365.00 р.
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Описание: Created as a celebration of mathematical pioneer Emma Previato, this comprehensive second volume highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the text is accessible to graduate students and non-experts, as well as researchers.

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: Jurdjevic
Название: Optimal Control and Geometry: Integrable Systems
ISBN: 1107113881 ISBN-13(EAN): 9781107113886
Издательство: Cambridge Academ
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Описание: Blending theory and applications, this book is a vital resource for graduates and researchers. It offers a broad theoretic base, synthesising symplectic geometry and optimal control theory, essential for mechanical, geometric or space engineering problems. The theory is tested through challenging problems and is rich with fresh insights and ideas.

Автор: Pierre Dazord; Alan Weinstein
Название: Symplectic Geometry, Groupoids, and Integrable Systems
ISBN: 1461397219 ISBN-13(EAN): 9781461397212
Издательство: Springer
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Автор: A.S. Fokas; I.M. Gelfand
Название: Algebraic Aspects of Integrable Systems
ISBN: 1461275350 ISBN-13(EAN): 9781461275350
Издательство: Springer
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Описание: Irene Dorfman died in Moscow on April 6, 1994, shortly after seeing her beautiful book on Dirac structures I]. The present volume contains a collection of papers aiming at celebrating her outstanding contributions to mathematics. Her most important discoveries are associated with the algebraic structures arising in the study of integrable equations. Most of the articles contained in this volume are in the same spirit. Irene, working as a student of Israel Gel'fand made the fundamental dis- covery that integrability is closely related to the existence of bi-Hamiltonian structures 2], 3]. These structures were discovered independently, and al- most simultaneously, by Magri 4] (see also 5]). Several papers in this book are based on this remarkable discovery. In particular Fokas, Olver, Rosenau construct large classes on integrable equations using bi-Hamiltonian struc- tures, Fordy, Harris derive such structures by considering the restriction of isospectral flows to stationary manifolds and Fuchssteiner discusses similar structures in a rather abstract setting.