Classical Mathematical Physics: Dynamical Systems And Field Theories
by Walter Thirring /
2003 / English / DjVu
3.2 MB Download
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.
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.
