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.
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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.
by Eric L. Michelsen - UCSD
This text covers some of the unusual or challenging concepts in graduate mathematical physics. This work is meant to be used with any standard text, to help emphasize those things that are most confusing for new students.
by Pavel Bleher, Alexander Its - Cambridge University Press
The book covers broad areas such as topologic and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for random polynomials; and applications to integrable systems.
by Ganesh Prasad - Patna University
The reason for my choosing the partial differential equations as the subject for these lectures is my wish to inspire in my audience a love for Mathematics. I give a brief historical account of the application of Mathematics to natural phenomena.