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 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 Herbert S Wilf - Dover Publications
The book for the advanced undergraduates and graduates in the natural sciences. Vector spaces and matrices, orthogonal functions, polynomial equations, asymptotic expansions, ordinary differential equations, conformal mapping, and extremum problems.
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.