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Classical Mathematical Physics - Dynamical Systems and Field Theories (Paperback, Softcover reprint of the original 3rd ed. 1997)
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Classical Mathematical Physics - Dynamical Systems and Field Theories (Paperback, Softcover reprint of the original 3rd ed. 1997)
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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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