Funky Mathematical Physics Concepts
by Eric L. Michelsen
Publisher: UCSD 2012
Number of pages: 205
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.
Download or read it online for free here:
by A. Goetschy, S.E. Skipetrov - arXiv
We review the state of the art of the theory of Euclidean random matrices, focusing on the density of their eigenvalues. Both Hermitian and non-Hermitian matrices are considered and links with simpler random matrix ensembles are established.
by David Ellwood, at al. - American Mathematical Society
Mathematical gauge theory studies connections on principal bundles. The book provides an introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds.
by Roy McWeeny - Learning Development Institute
Contents: Linear vector spaces; Elements of tensor algebra; The tensor calculus (Volume elements, tensor densities, and volume integrals); Applications in Relativity Theory (Elements of special relativity, Tensor form of Maxwell's equations).
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.