Partial Differential Equations of Mathematical Physics
by William W. Symes
Publisher: Rice University 2006
Number of pages: 105
Description:
This course aims to make students aware of the physical origins of the main partial differential equations of classical mathematical physics, including the fundamental equations of fluid and solid mechanics, thermodynamics, and classical electrodynamics. These equations form the backbone of modern engineering and many of the sciences, and solving them numerically is a central topic in scientific computation.
Download or read it online for free here:
Download link
(490KB, PDF)
Similar books
Lectures on Integrable Hamiltonian Systemsby G.Sardanashvily - arXiv
We consider integrable Hamiltonian systems in a general setting of invariant submanifolds which need not be compact. This is the case a global Kepler system, non-autonomous integrable Hamiltonian systems and systems with time-dependent parameters.
(10532 views)
Lectures on Diffusion Problems and Partial Differential Equationsby S.R.S. Varadhan - Tata Institute of Fundamental Research
Starting from Brownian Motion, the lectures quickly got into the areas of Stochastic Differential Equations and Diffusion Theory. The section on Martingales is based on additional lectures given by K. Ramamurthy of the Indian Institute of Science.
(11414 views)
Lecture Notes on Quantum Brownian Motionby Laszlo Erdos - arXiv
Einstein's kinetic theory of the Brownian motion, based upon water molecules bombarding a heavy pollen, provided an explanation of diffusion from the Newtonian mechanics. It is a challenge to verify the diffusion from the Schroedinger equation.
(11861 views)
Differential Equations of Mathematical Physicsby Max Lein - arXiv
These lecture notes give an overview of how to view and solve differential equations that are common in physics. They cover Hamilton's equations, variations of the Schroedinger equation, the heat equation, the wave equation and Maxwell's equations.
(11355 views)