Tensor Techniques in Physics: a concise introduction
by Roy McWeeny
Publisher: Learning Development Institute 2011
Number of pages: 30
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).
Home page url
Download or read it online for free here:
by Arnold Neumaier, Dennis Westra - arXiv
This book presents classical, quantum, and statistical mechanics in an algebraic setting, thereby introducing mathematicians, physicists, and engineers to the ideas relating classical and quantum mechanics with Lie algebras and Lie groups.
by Klaus Kirsten, Floyd L. Williams - Cambridge University Press
This book provides an introduction, with applications, to three interconnected mathematical topics: zeta functions in their rich variety; modular forms; vertex operator algebras. Applications of the material to physics are presented.
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.
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.