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.
Download or read it online for free here:
by Shlomo Sternberg
Course notes for an introduction to Riemannian geometry and its principal physical application, Einstein’s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus.
by D. Rabounski, F. Smarandache, L. Borissova - Hexis
Neutrosophy is a theory developed by Florentin Smarandache in 1995, which studies the nature and properties of neutralities. This book applies neutrosophic method to the General Theory of Relativity, aiming to discover new effects hidden before.
by V. L. Kalashnikov - arXiv
The author presents the pedagogical introduction to relativistic astrophysics and cosmology, which is based on computational and graphical resources of Maple 6. The knowledge of basics of general relativity and differential geometry is supposed.
by Domenico Giulini - arXiv.org
This text introduces the reader to the reformulation of Einstein's field equations of General Relativity as a constrained evolutionary system of Hamiltonian type and discusses some of its uses, together with some technical and conceptual aspects.