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A Course in Mathematical Physics 1 and 2

Classical Dynamical Systems and Classical Field Theory

  • Book
  • © 1992

Overview

Authors:
  1. Walter Thirring

    1. Institute for Theoretical Physics, University of Vienna, Austria

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Part of the book series: Springer Study Edition (SSE)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xxviii
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  2. Introduction

    • Walter Thirring
    Pages 1-7

  3. Analysis on Manifolds

    • Walter Thirring
    Pages 8-83

  4. Hamiltonian Systems

    • Walter Thirring
    Pages 84-164

  5. Nonrelativistic Motion

    • Walter Thirring
    Pages 165-209

  6. Relativistic Motion

    • Walter Thirring
    Pages 210-261

  7. The Structure of Space and Time

    • Walter Thirring
    Pages 262-278

  8. Introduction

    • Walter Thirring
    Pages 279-323

  9. The Electromagnetic Field of a Known Charge Distribution

    • Walter Thirring
    Pages 324-379

  10. The Field in the Presence of Conductors

    • Walter Thirring
    Pages 380-432

  11. Gravitation

    • Walter Thirring
    Pages 433-530

  12. Back Matter

    Pages 531-547
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Keywords

About this book

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.

Authors and Affiliations

  • Institute for Theoretical Physics, University of Vienna, Austria

    Walter Thirring

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