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 Robert Feger, Thomas W. Kephart - arXiv
We present the Mathematica application LieART (Lie Algebras and Representation Theory) for computations in Lie Algebras and representation theory, such as tensor product decomposition and subalgebra branching of irreducible representations.
by Leonard Susskind - arXiv.org
The first lecture describes the meaning of quantum complexity, the analogy between entropy and complexity, and the second law of complexity. Lecture two reviews the connection between the second law of complexity and the interior of black holes...
by Jerrold E. Marsden - Publish or Perish, inc
The book introduces some methods of global analysis which are useful in various problems of mathematical physics. The author wants to make use of ideas from geometry to shed light on problems in analysis which arise in mathematical physics.
by Michael Stone, Paul Goldbart - Cambridge University Press
This book provides a graduate-level introduction to the mathematics used in research in physics. It focuses on differential and integral equations, Fourier series, calculus of variations, differential geometry, topology and complex variables.