The Geometry of Special Relativity
by Tevian Dray
Publisher: Oregon State University 2012
Number of pages: 146
This manuscript is intended either as a supplement to a traditional physics course which includes special relativity, or as a textbook for a mathematics topics course in geometry or relativity. The manuscript emphasizes the fact that special relativity is just hyperbolic trigonometry, and includes material on hyperbolic triangle trig, a fascinating and easily accessible mathematics topic in its own right, even without its usefulness in solving problems in relativity.
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by A. A. Logunov - arXiv
The book presents ideas by Poincare and Minkowski according to which the essence and the main content of the relativity theory are the following: the space and time form a unique four-dimensional continuum supplied by the pseudo-Euclidean geometry.
This text presents special relativity from first principles and logically arrives at the conclusions using simple diagrams and some thought experiments. It is possible to understand the first part of the book using only high school algebra.
by C. E. Harle, R. Bianconi
This is a book on the foundations of Special Relativity from a synthetic viewpoint. The book has a strong visual appeal, modeling with affine geometry. As a subproduct we develop several programs to visualize relativistic motions.
by Richard Chace Tolman - University of California Press
Classic introduction to Einstein's theory, written by a prominent physicist, provides the two main postulates upon which the theory rests and their experimental evidence. The relation between relativity and the principle of least action is discussed.