Partial Differential Equations of Mathematical Physics
by William W. Symes
Publisher: Rice University 2006
Number of pages: 105
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.
Home page url
Download or read it online for free here:
by A. Goetschy, S.E. Skipetrov - arXiv
We review the state of the art of the theory of Euclidean random matrices, focusing on the density of their eigenvalues. Both Hermitian and non-Hermitian matrices are considered and links with simpler random matrix ensembles are established.
A book on common techniques of applied mathematics that are often used in theoretical physics. It may be accessible to anyone with beginning undergraduate training in mathematics and physics. It is useful for anyone wishing to study advanced Physics.
by Igor Dolgachev
A set of class notes taken by math graduate students, the goal of the course was to introduce some basic concepts from theoretical physics which play so fundamental role in a recent intermarriage between physics and pure mathematics.
by Willard Miller - Academic Press
The book studies the role played by special function theory in the formalism of mathematical physics. It demonstrates that special functions which arise in mathematical models are dictated by symmetry groups admitted by the models.