© 2018

Mathematical Physics: Classical Mechanics


Part of the UNITEXT book series (UNITEXT, volume 109)

Also part of the La Matematica per il 3+2 book sub series (UNITEXTMAT, volume 109)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Andreas Knauf
    Pages 1-10
  3. Andreas Knauf
    Pages 11-29
  4. Andreas Knauf
    Pages 31-60
  5. Andreas Knauf
    Pages 61-78
  6. Andreas Knauf
    Pages 79-95
  7. Andreas Knauf
    Pages 97-136
  8. Andreas Knauf
    Pages 137-153
  9. Andreas Knauf
    Pages 155-189
  10. Andreas Knauf
    Pages 191-214
  11. Andreas Knauf
    Pages 215-240
  12. Andreas Knauf
    Pages 241-276
  13. Andreas Knauf
    Pages 277-324
  14. Andreas Knauf
    Pages 325-364
  15. Andreas Knauf
    Pages 365-390
  16. Andreas Knauf
    Pages 391-439
  17. Andreas Knauf
    Pages 441-467
  18. Andreas Knauf
    Pages 469-481
  19. Back Matter
    Pages 483-683

About this book


As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics.

The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.


dynamical systems ergodic theory classical mechanics special relativity theory symplectic geometry Hamiltonian dynamics

Authors and affiliations

  1. 1.Department of MathematicsFriedrich-Alexander University Erlangen-NürnbergErlangenGermany

About the authors

Andreas Knauf is a professor of mathematics at the Friedrich-Alexander Universität Erlangen-Nürnberg. His research interests include classical, quantum and statistical mechanics.

He is the author, with Markus Klein, of the book ‚Classical Planar Scattering by Coulombic Potentials‘ and, with Yakov Sinai, of the book ‚Classical Nonintegrability, Quantum Chaos‘.

Bibliographic information

Industry Sectors