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Classical Mathematical Physics

Dynamical Systems and Field Theories

Walter Thirring (Autor)

Buch | Softcover

543 Seiten

2003 | Softcover reprint of the original 3rd ed. 1997
Springer-Verlag New York Inc.
978-0-387-40615-2 (ISBN)

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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.

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.

Übersetzer	E.M. Harrell
Zusatzinfo	XXVIII, 543 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
ISBN-10	0-387-40615-8 / 0387406158
ISBN-13	978-0-387-40615-2 / 9780387406152
Zustand	Neuware