Classical Mathematical Physics

Dynamical Systems and Field Theories

Walter Thirring, E.M. Harrell

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English

Springer Verlag
01 October 2003

Mathematics & Sciences; Maths for scientists; Physics

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.

By: Walter Thirring
Translated by: E.M. Harrell
Imprint: Springer Verlag
Country of Publication: United States
Edition: 3rd Revised edition
Dimensions: Height: 235mm, Width: 155mm, Spine: 29mm
Weight: 872g
ISBN: 9780387406152
ISBN 10: 0387406158
Pages: 576
Publication Date: 01 October 2003
Audience: General/trade , College/higher education , ELT Advanced , Primary
Format: Paperback
Publisher's Status: Active

I Classical Dynamical Systems.- 1 Introduction.- 2 Analysis on Manifolds.- 3 Hamiltonian Systems.- 4 Nonrelativistic Motion.- 5 Relativistic Motion.- 6 The Structure of Space and Time.- II Classical Field Theory.- 7 Introduction to Classical Field Theory.- 8 The Electromagnetic Field of a Known Charge Distribution.- 9 The Field in the Presence of Conductors.- 10 Gravitation.

Reviews for Classical Mathematical Physics: Dynamical Systems and Field Theories

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