CLASSICAL MATHEMATICAL PHYSICS.: Dynamical Systems and Field Theories, third edition - Rilegato

Thirring, Walter

Rilegato

ISBN 10: 0387948430 ISBN 13: 9780387948430

Casa editrice: Springer Verlag, 1997

Riassunto

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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Recensione

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

Contenuti

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.

Dettagli dell'edizione

• Editore: Springer Verlag
• Data di pubblicazione: 1997
• Lingua: Inglese
• ISBN 10: 0387948430
• ISBN 13: 9780387948430
• Rilegatura: Copertina rigida
• Numero edizione: 3
• Numero di pagine: 541
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania