Skip to main content
SpringerLink
Log in
SpringerLink
Log in

Classical Mathematical Physics

Dynamical Systems and Field Theories

  • Textbook
  • © 1997

Overview

Authors:
  1. Walter Thirring

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

    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xxviii
    Download chapter PDF

  2. Classical Dynamical Systems

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Introduction

      • Walter Thirring
      Pages 3-9

    3. Analysis on Manifolds

      • Walter Thirring
      Pages 11-87

    4. Hamiltonian Systems

      • Walter Thirring
      Pages 89-168

    5. Nonrelativistic Motion

      • Walter Thirring
      Pages 169-212

    6. Relativistic Motion

      • Walter Thirring
      Pages 213-263

    7. The Structure of Space and Time

      • Walter Thirring
      Pages 265-281

  3. Classical Field Theory

    1. Front Matter

      Pages 283-283
      Download chapter PDF

    2. Introduction to Classical Field Theory

      • Walter Thirring
      Pages 285-328

    3. The Electromagnetic Field of a Known Charge Distribution

      • Walter Thirring
      Pages 329-381

    4. The Field in the Presence of Conductors

      • Walter Thirring
      Pages 383-432

    5. Gravitation

      • Walter Thirring
      Pages 433-528

  4. Back Matter

    Pages 529-543
    Download chapter PDF
Back to top

Keywords

About this book

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.

Reviews

From the reviews:

"… A complete book in classical field theory. Moreover it is very interesting to see the geometry of relativity. I highly recommend this book for the theoretical physicists and mathematicians interested in physics. In short this is a very useful book."  H. Cebeci, Middle East Technical University, Ankara, Turkey

Authors and Affiliations

  • Institute for Theoretical Physics, University of Vienna, Vienna, Austria

    Walter Thirring

Bibliographic Information

  • Book Title: Classical Mathematical Physics

  • Book Subtitle: Dynamical Systems and Field Theories

  • Authors: Walter Thirring

  • DOI: https://doi.org/10.1007/978-1-4612-0681-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • Hardcover ISBN: 978-0-387-94843-0Published: 10 October 1997

  • Softcover ISBN: 978-0-387-40615-2Published: 17 October 2003

  • eBook ISBN: 978-1-4612-0681-1Published: 01 December 2013

  • Edition Number: 3

  • Number of Pages: XXVIII, 543

  • Topics: Theoretical, Mathematical and Computational Physics

Publish with us

Policies and ethics

Back to top

Search

Navigation