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 Hermann Weyl - Methuen & Co.
A classic of physics -- the first systematic presentation of Einstein's theory of relativity. Long one of the standard texts in the field, this excellent introduction probes deeply into Einstein's general relativity, gravitational waves and energy.
by Eric Poisson - University of Guelph
From the table of contents: Preliminaries; Integration techniques; First post-Minkowskian approximation; Second post-Minkowskian approximation; Equations of motion; Gravitational waves; Energy radiated and radiation reaction.
by Francis Dominic Murnaghan - Johns Hopkins press
This monograph is the outcome of lectures delivered to the graduate department of mathematics of The Johns Hopkins University. Considerations of space have made it somewhat condensed in form, but the mode of presentation is sufficiently novel.
by Eric Gourgoulhon - arXiv
These notes introduce the theory of rotating stars in general relativity. The focus is on the theoretical foundations, with a detailed discussion of the spacetime symmetries, the choice of coordinates and the derivation of the equations of structure.