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 Mario Argeri, Pierpaolo Mastrolia - arXiv
The authors review the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the technique, we discuss its application in the context of corrections to the photon propagator in QED.
by F. Smarandache - North-European Scientific Publishers
Neutrosophic logics is one of the promising research instruments, which could be successfully applied by a theoretical physicist. Neutrosophic logics states that neutralities may be between any physical states, or states of space-time.
by Marios Tsatsos - arXiv
The basic notion of how topoi can be utilized in physics is presented here. Topos and category theory serve as valuable tools which extend our ordinary set-theoretical conceptions, can give rise to new descriptions of quantum physics.
by Vadim Kuznetsov, Vladimir Kisil - University of Leeds
This text presents fundamentals of special functions theory and its applications in partial differential equations of mathematical physics. The course covers topics in harmonic, classical and functional analysis, and combinatorics.