Partial Differential Equations of Physics
by Robert Geroch
Publisher: arXiv 1996
Number of pages: 57
Description:
All partial differential equations that describe physical phenomena in space-time can be cast into a universal quasilinear, first-order form. We describe some broad features of systems of differential equations so formulated. Examples of such features include hyperbolicity of the equations, constraints and their roles, how diffeomorphism freedom is manifest, and how interactions between systems arise and operate.
Download or read it online for free here:
Download link
(500KB, PDF)
Similar books
Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equationsby Horst R. Beyer - arXiv
This course introduces the use of semigroup methods in the solution of linear and nonlinear (quasi-linear) hyperbolic partial differential equations, with particular application to wave equations and Hermitian hyperbolic systems.
(14414 views)
Gravitational Waves and Black Holes: an Introduction to General Relativityby J.W. van Holten - arXiv
General relativity is outlined as the classical field theory of gravity, emphasizing physical phenomena rather than mathematical formalism. Dynamical solutions representing traveling waves and stationary fields of black holes are discussed.
(13026 views)
Space - Time - Matterby Hermann Weyl - Methuen & Co.
A classic of physics -- the first systematic presentation of Einstein's theory of relativity. Long one of the standard texts in the field, this excellent introduction probes deeply into Einstein's general relativity, gravitational waves and energy.
(10219 views)
Mathematical Relativityby José Natário - arXiv
These are lecture notes written for a one-semester course in mathematical relativity aimed at mathematics and physics students. Not meant as an introduction to general relativity, but rather as a complementary, more advanced text.
(1196 views)