Classical mathematical physics. Dynamical systems and field theory

Classical mathematical physics. Dynamical systems and field theory E.M. Harrell, Walter Thirring is available to download

Classical mathematical physics.Classical mathematical physics. Dynamical ... Textbook Dynamical systems and field theory E.M. Harrell, Walter Thirring
Type:	eBook
Released:	1997
Publisher:	Springer
Page Count:	571
Format:	djvu
Language:	English
ISBN-10:	0387948430
ISBN-13:	9780387948430

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.