Walter Thirring

Classical Mathematical Physics (eBook, PDF)

Dynamical Systems and Field Theories
Übersetzer: Harrell, E. M.

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 543
• Erscheinungstermin: 1. Dezember 2013
• Englisch
• ISBN-13: 9781461206811
• Artikelnr.: 44179959

Autorenporträt

Univ.-Prof. Dr. Walter Thirring, geb. 1927. 1953/54 Member of the Princeton Institute for Advanced Studies. 1956/57 Visiting Professor am M.I.T., Cambridge, anschließend University of Washington, Seattle. Dann Lehrtätigkeit in Bern und Wien. 1968-71 Direktor des Theoretical Department CERN. Über 200 wissenschaftliche Publikationen, zahlreiche internationale Auszeichnungen, u. a. Eötvös-Medaille 1967, Erwin-Schrödinger-Preis, Max-Planck-Medaille, Ehrendoktorat der Comenius-Universität Bratislava, Henri-Poincare-Preis der Int. Association of Mathematical Physics. Thirrings große Liebe gilt der Musik, und hier besonders der Orgel und der Komposition.

Inhaltsangabe

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.

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I Classical Dynamical Systems.- 1 Introduction.- 2 Analysis on Manifolds.- 3 Hamiltonian Systems.- 4 Nonrelativistic Motion.- 5 Relativistic Motion.- 6 The Structure of Space and Time.- II Classical Field Theory.- 7 Introduction to Classical Field Theory.- 8 The Electromagnetic Field of a Known Charge Distribution.- 9 The Field in the Presence of Conductors.- 10 Gravitation.

Rezensionen

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