A Course in Mathematical Physics 1 and 2

Classical Dynamical Systems and Classical Field Theory

  • Walter Thirring

Part of the Springer Study Edition book series (SSE)

Table of contents

  1. Front Matter
    Pages i-xxviii
  2. Walter Thirring
    Pages 1-7
  3. Walter Thirring
    Pages 8-83
  4. Walter Thirring
    Pages 84-164
  5. Walter Thirring
    Pages 165-209
  6. Walter Thirring
    Pages 210-261
  7. Walter Thirring
    Pages 262-278
  8. Walter Thirring
    Pages 279-323
  9. Walter Thirring
    Pages 380-432
  10. Walter Thirring
    Pages 433-530
  11. Back Matter
    Pages 531-547

About this book

Introduction

The last decade has seen a considerable renaissance in the realm of classical dynamical systems, and many things that may have appeared mathematically overly sophisticated at the time of the first appearance of this textbook have since become the everyday tools of working physicists. This new edition is intended to take this development into account. I have also tried to make the book more readable and to eradicate errors. Since the first edition already contained plenty of material for a one­ semester course, new material was added only when some of the original could be dropped or simplified. Even so, it was necessary to expand the chap­ ter with the proof of the K-A-M Theorem to make allowances for the cur­ rent trend in physics. This involved not only the use of more refined mathe­ matical tools, but also a reevaluation of the word "fundamental. " What was earlier dismissed as a grubby calculation is now seen as the consequence of a deep principle. Even Kepler's laws, which determine the radii of the planetary orbits, and which used to be passed over in silence as mystical nonsense, seem to point the way to a truth unattainable by superficial observation: The ratios of the radii of Platonic solids to the radii of inscribed Platonic solids are irrational, but satisfy algebraic equations of lower order.

Keywords

applied mathematics differential geometry dynamical systems geometry gravity mathematical physics

Authors and affiliations

  • Walter Thirring
    • 1
  1. 1.Institute for Theoretical PhysicsUniversity of ViennaAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-0517-0
  • Copyright Information Springer-Verlag New York 1992
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-97609-9
  • Online ISBN 978-1-4684-0517-0
  • Series Print ISSN 0172-6234
  • About this book