Classical Mathematical Physics

Dynamical Systems and Field Theories

By: E.M. Harrell (Translator), Walter Thirring

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Hardcover | 10 October 1997 | Edition Number 3

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576 Pages

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23.39 x 15.6 x 3.18

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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.

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Published: 14th November 2003

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Preface to the Third Edition
Preface to the Second Edition: Classical Dynamical Systems
Preface to the Second Edition: Classical Field Theory
Preface to the First Edition
Note About the Translation
Glossary
Symbols Defined in the Text
Classical Dynamical Systems
Introduction	p. 3
Analysis on Manifolds	p. 11
Hamiltonian Systems	p. 89
Nonrelativistic Motion	p. 169
Relativistic Motion	p. 213
The Structure of Space and Time	p. 265
Classical Field Theory
Introduction to Classical Field Theory	p. 285
The Electromagnetic Field of a Known Charge Distribution	p. 329
The Field in the Presence of Conductors	p. 383
Gravitation	p. 433
Bibliography	p. 529
Index	p. 539
Table of Contents provided by Blackwell. All Rights Reserved.

Classical Mathematical Physics

Dynamical Systems and Field Theories

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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