Classical Mathematical Physics: Dynamical Systems and Field Theories

Paperback | October 17, 2003

Translated byE.M. Harrell

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This book combines the enlarged and corrected editions of both volumes on classical physics stemming from Thirrings famous course. 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 perturbation theory. Problems discussed 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 differential geometry, treating both Maxwells and Einsteins 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, and concludes by applying these results to the life and death of stars. Numerous examples and accompanying remarks make this an ideal textbook.

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From the Publisher

This book combines the enlarged and corrected editions of both volumes on classical physics stemming from Thirrings famous course. 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 pertur...

Format:PaperbackDimensions:571 pages, 9.25 × 6.1 × 0.04 inPublished:October 17, 2003Publisher:Springer New YorkLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387406158

ISBN - 13:9780387406152

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Table of Contents

Dynamical Systems.- Analysis of Manifolds.- Hamiltonian Systems.- Nonrelativistic Motion.- Relativistic Motion.- The Structure of Space and Time Field Theory.- The Electromagnetic Field of a Known Charge Distribution.- The Field in the Presence of Conductors.- Gravitation.

Editorial 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