Springer Monographs in Mathematics
cover

A Memoir on Integrable Systems

Authors: Fedorov, Yuri, Kozlov, Valerij Vasilievich

  • The book contains hitherto unpublished, important results in dynamical systems theory..

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eBook $89.00
price for USA in USD
  • The eBook version of this title will be available soon
  • Due: February 8, 2023
  • ISBN 978-3-540-68912-6
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover $119.00
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: February 8, 2023
  • ISBN 978-3-540-59000-2
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About this book

Integrable dynamical systems are usually associated with Hamiltonian ones. The present book considers the bigger class of systems which are not (at least a priori) Hamiltonian but possess tensor invariants, in particular, an invariant measure. Such systems are as rare as Hamiltonian ones that have additional first integrals and therefore must be considered as number one candidates for integrable problems. Several integrability theorems related to the existence of tensor invariants are formulated. The authors display 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 in this book have not been published before, so that this book will be immensely useful both to specialists in analytical dynamics who are interested in integrable problems and those in algebraic geometry who are looking for applications.

Buy this book

eBook $89.00
price for USA in USD
  • The eBook version of this title will be available soon
  • Due: February 8, 2023
  • ISBN 978-3-540-68912-6
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover $119.00
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: February 8, 2023
  • ISBN 978-3-540-59000-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions

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Bibliographic Information

Bibliographic Information
Book Title
A Memoir on Integrable Systems
Authors
Translated by
Fedorov, Y.
Series Title
Springer Monographs in Mathematics
Copyright
2023
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag GmbH Germany, part of Springer Nature
eBook ISBN
978-3-540-68912-6
Hardcover ISBN
978-3-540-59000-2
Series ISSN
1439-7382
Edition Number
1
Number of Illustrations
40 b/w illustrations
Topics