The IMA Volumes in Mathematics and its Applications

Hamiltonian Dynamical Systems

History, Theory, and Applications

Editors: Dumas, H.S., Meyer, K.R., Schmidt, D.S. (Eds.)

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About this book

From its origins nearly two centuries ago, Hamiltonian dynamics has grown to embrace the physics of nearly all systems that evolve without dissipation, as well as a number of branches of mathematics, some of which were literally created along the way. This volume contains the proceedings of the International Conference on Hamiltonian Dynamical Systems; its contents reflect the wide scope and increasing influence of Hamiltonian methods, with contributions from a whole spectrum of researchers in mathematics and physics from more than half a dozen countries, as well as several researchers in the history of science. With the inclusion of several historical articles, this volume is not only a slice of state-of-the-art methodology in Hamiltonian dynamics, but also a slice of the bigger picture in which that methodology is imbedded.

Table of contents (25 chapters)

Table of contents (25 chapters)
  • The Concept of Elastic Stress in Eighteenth-Century Mechanics: Some Examples from Euler

    Pages 1-14

    Fraser, Craig G.

  • Book Two of Radical Principia

    Pages 15-37

    Pourciau, Bruce

  • Factoring the Lunar Problem: Geometry, Dynamics, and Algebra in the Lunar Theory from Kepler to Clairaut

    Pages 39-57

    Wilson, Curtis

  • A Limiting Absorption Principle for Separated Dirac Operators with Wigner von Neumann Type Potentials

    Pages 59-88

    Behncke, Horst (et al.)

  • Lax Pairs in the Henon-Heiles and Related Families

    Pages 89-98

    Churchill, R. C. (et al.)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-1-4613-8448-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA in USD
  • ISBN 978-0-387-94437-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • This title is currently reprinting. You can pre-order your copy now.
Softcover $79.99
price for USA in USD
  • ISBN 978-1-4613-8450-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Hamiltonian Dynamical Systems
Book Subtitle
History, Theory, and Applications
Editors
  • H.S. Dumas
  • K.R. Meyer
  • D.S. Schmidt
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
63
Copyright
1995
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York, Inc.
eBook ISBN
978-1-4613-8448-9
DOI
10.1007/978-1-4613-8448-9
Hardcover ISBN
978-0-387-94437-1
Softcover ISBN
978-1-4613-8450-2
Series ISSN
0940-6573
Edition Number
1
Number of Pages
XIX, 385
Topics