Classical Mathematical Physics

Dynamical Systems and Field Theories

  • Walter Thirring

Table of contents

  1. Front Matter
    Pages i-xxviii
  2. Classical Dynamical Systems

    1. Front Matter
      Pages 1-1
    2. Walter Thirring
      Pages 3-9
    3. Walter Thirring
      Pages 11-87
    4. Walter Thirring
      Pages 89-168
    5. Walter Thirring
      Pages 169-212
    6. Walter Thirring
      Pages 213-263
    7. Walter Thirring
      Pages 265-281
  3. Classical Field Theory

    1. Front Matter
      Pages 283-283
    2. Walter Thirring
      Pages 285-328
    3. Walter Thirring
      Pages 383-432
    4. Walter Thirring
      Pages 433-528
  4. Back Matter
    Pages 529-543

About this book

Introduction

This volume combines the enlarged and corrected editions of both volumes on classical physics of Thirring's famous course in mathematical physics. With numerous examples and remarks accompanying the text, it is suitable as a textbook for students in physics, mathematics, and applied mathematics. The treatment of classical dynamical systems uses analysis on manifolds to provide the mathematical setting for discussions of Hamiltonian systems, canonical transformations, constants of motion, and pertubation theory. Problems discussed in considerable detail include: nonrelativistic motion of particles and systems, relativistic motion in electromagnetic and gravitational fields, and the structure of black holes. The treatment of classical fields uses the language of differenial geometry throughout, treating both Maxwell's and Einstein's equations in a compact and clear fashion. The book includes discussions of the electromagnetic field due to known charge distributions and in the presence of conductors as well as a new section on gauge theories. It discusses the solutions of the Einstein equations for maximally symmetric spaces and spaces with maximally symmetric submanifolds; it concludes by applying these results to the life and death of stars.

Keywords

applied mathematics differential geometry dynamical system dynamical systems Einstein equations electromagnetic field field theory geometry gravitation Hamiltonian magnetic field mathematical physics Minkowski space solution three-body problem

Authors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0681-1
  • Copyright Information Springer-Verlag New York, Inc. 1997
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-40615-2
  • Online ISBN 978-1-4612-0681-1
  • About this book