Foundations of Tensor Analysis for Students of Physics and Engineering With an Introduction to the Theory of Relativity
by Joseph C. Kolecki
Publisher: Glenn Research Center 2005
Number of pages: 92
Tensor analysis is useful because of its great generality, computational power, and compact, easy-to-use notation. This monograph is intended to provide a conceptual foundation for students of physics and engineering who wish to pursue tensor analysis as part of their advanced studies in applied mathematics.
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by Benjamin Crowell - lightandmatter.com
This is an undergraduate textbook on general relativity. It is well adapted for self-study, and answers are given in the back of the book for almost all the problems. The ratio of conceptual to mathematical problems is higher than in most books.
by Jose Natario - Springer
This book was written as a guide for a one week course aimed at exceptional students in their final years of secondary education. The course was intended to provide a quick but nontrivial introduction to Einstein's general theory of relativity.
by Sergei Winitzki - Google Sites
Topics include: Asymptotic structure of spacetime, conformal diagrams, null surfaces, Raychaudhury equation, black holes, the holographic principle, singularity theorems, Einstein-Hilbert action, energy-momentum tensor, Noether's theorem, etc.
by Horst R. Beyer - arXiv
This course introduces the use of semigroup methods in the solution of linear and nonlinear (quasi-linear) hyperbolic partial differential equations, with particular application to wave equations and Hermitian hyperbolic systems.