
Classical Mathematical Physics
Dynamical Systems and Field Theories
Résumé
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.
Written for:
Physicists
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
Caractéristiques techniques
PAPIER | |
Éditeur(s) | Springer |
Auteur(s) | Walter Thirring |
Parution | 24/11/2003 |
Édition | 3eme édition |
Nb. de pages | 544 |
Format | 15,5 x 23,5 |
Couverture | Broché |
Poids | 800g |
Intérieur | Noir et Blanc |
EAN13 | 9780387406152 |
ISBN13 | 978-0-387-40615-2 |
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