A Mathematics Primer for Physics Graduate Students
by Andrew E. Blechman
Number of pages: 78
The author summarizes most of the more advanced mathematical trickery seen in electrodynamics and quantum mechanics in simple and friendly terms with examples. Mathematical tools such as tensors or differential forms, intended to make the calculations much simpler, are covered in this text.
Download or read it online for free here:
by A. Zabrodin - arXiv.org
This is an introductory course on nonlinear integrable partial differential and differential-difference equations based on lectures given for students of Moscow Institute of Physics and Technology and Higher School of Economics.
by Ernesto Estrada - arXiv
Text consisting of some of the main areas of research in graph theory applied to physics. It includes graphs in condensed matter theory, such as the tight-binding and the Hubbard model. It follows the study of graph theory and statistical physics...
by Nicolas Raymond - arXiv
'Little Magnetic Book' is devoted to the spectral analysis of the magnetic Laplacian in various geometric situations. In particular the influence of the geometry on the discrete spectrum is analysed in many asymptotic regimes.
by Alex Alaniz - UC Riverside
These are step-by-verifiable-step notes which are designed to help students with a year of calculus based physics who are about to enroll in ordinary differential equations go all the way to doctoral foundations in either mathematics or physics.