Mathematics of Relativity: Lecture Notes
by G. Y. Rainich
Publisher: Edwards Brothers 1932
Number of pages: 222
We may consider Geometry as a first attempt at a study of the outside world. It may be considered as a deductive system which reflects (in the sense explained above, that is of the existence of a correspondence, etc.) very well our experiences with some features of the outside world, namely features connected with the displacements of what we call rigid bodies. We see at once how much is left out in such a study; in the first place, time is almost entirely left out: in trying to bring into coincidence two triangles we are not interested in whether we move one slowly or rapidly; in describing a circle we are not concerned with uniformity of motion.
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by Albert Einstein - Princeton University Press
A condensed unified presentation intended for one who has already digested the mechanics of tensor theory and physical basis of relativity. Einstein's little book serves as an excellent tying-together of loose ends and as a survey of the subject.
by Bernhard Auchmann, Stefan Kurz - arXiv
We introduce a relativistic splitting structure as a means to map equations of electromagnetism from curved four-dimensional space-time to 3-dimensional observer's space. We focus on mathematical structures that are motivated by the physical theory.
by James B. Hartle - arXiv.org
Notes from the lectures on Quantum Cosmology and Baby Universes. The lectures covered quantum mechanics for closed systems, generalized quantum mechanics, time in quantum mechanics, the quantum mechanics spacetime, and practical quantum cosmology.
by Frank W. K. Firk - Yale University
A book for the inquisitive reader who wishes to understand the main ideas of special and general theory of relativity. Only a modest understanding of high school mathematics is required. A formal account of special relativity is given in an appendix.