Mechanics and Relativity
by Timon Idema
Publisher: TU Delft Open 2018
Number of pages: 193
In Mechanics and Relativity, the reader is taken on a tour through time and space. Starting from the basic axioms formulated by Newton and Einstein, the theory of motion at both the everyday and the highly relativistic level is developed without the need of prior knowledge.
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by J D Cresser - Macquarie University
Contents: Frames of Reference; The Galilean Transformation; Newtonian Force and Momentum; Maxwell's Equations and the Ether; Einstein's Postulates; Clock Synchronization in an Inertial Frame; Lorentz Transformation; Relativistic Dynamics; etc.
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 Nadia L. Zakamska - arXiv
The main purpose of these notes is to introduce 4-vectors and the matrix notation and to demonstrate their use in solving problems in Special Relativity. The pre-requisites are calculus-based Classical Mechanics and Electricity and Magnetism.
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.