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A Memoir on Integrable Systems (Springer Monographs in Mathematics)

A Memoir on Integrable Systems (Springer Monographs in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

This book considers the larger class of systems which are not (at least a priori) Hamiltonian but possess tensor invariants, in particular, an invariant measure. Several integrability theorems related to the existence of tensor invariants are formulated, and the authors illustrate the geometrical background of some classical and new hierarchies of integrable systems and give their explicit solution in terms of theta-functions. Most of the results discussed have not been published before, making this book immensely useful both to specialists in analytical dynamics who are interested in integrable problems and those in algebraic geometry who are looking for applications.

Synopsis:

This volume discusses rare integrable dynamical systems particularly well-suited to integrable problems. Discussing results that have not yet been published, this volume is especially useful to specialists in analytical dynamics and professionals involved with applications in algebraic geometry.

Synopsis:

This book considers the larger class of systems which are not (at least a priori) Hamiltonian but possess tensor invariants, in particular, an invariant measure. Several integrability theorems related to the existence of tensor invariants are formulated, and the authors illustrate the geometrical background of some classical and new hierarchies of integrable systems and give their explicit solution in terms of theta-functions. Most of the results discussed have not been published before, making this book immensely useful both to specialists in analytical dynamics who are interested in integrable problems and those in algebraic geometry who are looking for applications.

Table of Contents

Classical Mechanics and Lie Groups.- Systems With an Invariant Measure.- Integrable Systems, Lax Pairs and Confocal Quadrics.- Explicit Solutions.- References.- Index.

Product Details

ISBN:
9783540590002
Translator:
Fedorov, Yu
Publisher:
Springer
Translator:
Fedorov, Yu
Author:
Fedorov, Yu N.
Author:
Fedorov, Yuri
Author:
Fedorov, Yu
Author:
Fedorov
Author:
Kozlov, V. V.
Author:
Kozlov, Valerij Vasilievich
Subject:
General
Subject:
Mathematical Analysis
Subject:
Group Theory
Subject:
Geometry - Algebraic
Subject:
Abelian varieties.
Subject:
Integrable systems
Subject:
Lax pairs
Subject:
tensor invariants
Subject:
theta-functions
Subject:
Analysis
Subject:
Global Analysis and Analysis on Manifolds
Subject:
Topological Groups, Lie Groups
Subject:
Algebraic Geometry
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Mathematics-Analysis General
Copyright:
Edition Number:
1
Edition Description:
2012
Series:
Springer Monographs in Mathematics
Publication Date:
February 2005
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
280
Dimensions:
235 x 155 mm

Related Subjects


Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Differential Geometry
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry
Science and Mathematics » Mathematics » Geometry » General
Science and Mathematics » Mathematics » Group Theory
Science and Mathematics » Physics » Astrophysics
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Math

A Memoir on Integrable Systems (Springer Monographs in Mathematics)
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Product details 280 pages Springer-Verlag - English 9783540590002 Reviews:
"Synopsis" by , This volume discusses rare integrable dynamical systems particularly well-suited to integrable problems. Discussing results that have not yet been published, this volume is especially useful to specialists in analytical dynamics and professionals involved with applications in algebraic geometry.
"Synopsis" by , This book considers the larger class of systems which are not (at least a priori) Hamiltonian but possess tensor invariants, in particular, an invariant measure. Several integrability theorems related to the existence of tensor invariants are formulated, and the authors illustrate the geometrical background of some classical and new hierarchies of integrable systems and give their explicit solution in terms of theta-functions. Most of the results discussed have not been published before, making this book immensely useful both to specialists in analytical dynamics who are interested in integrable problems and those in algebraic geometry who are looking for applications.
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