Dynamical Systems and Field Theories
Buch, Englisch, 543 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 861 g
ISBN: 978-0-387-40615-2
Verlag: Springer
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.
Zielgruppe
Graduate
Fachgebiete
- Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
- Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
- Naturwissenschaften Physik Physik Allgemein Experimentalphysik
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
Weitere Infos & Material
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.
