Mathematical Approach to Special Relativity

A Mathematical Approach to Special Relativity introduces the mathematical formalisms of special and general relativity. Developed from the author’s experience teaching physics to students across levels, the valuable resource strives to introduce key concepts in the topic, building in complexity and using increasingly advanced mathematical tools as it progresses. Without assuming a background in Calculus, the text begins with symmetry, before delving more deeply into Galilean relativity. In this first section, focused on Physics, the resource also covers Lorentz transformations, gravity, and engineering applications. In the second part, the text focuses on more advanced mathematics: continuous group, rotation groups, Lorentz groups, and differential geometry. Throughout, A Mathematical Approach to Special Relativity provides worked examples and useful "Guides to the Literature." This unique textbook emphasizes the experimental consequences and verifications of the underpinning theory, in order to provide students with a solid foundation in this key area. Based on the professor’s 25+ years of experience teaching physics students at every level Covers key topics in special relativity, including some group theory as well as an introduction to general relativity and basic differential geometry Contains numerous worked examples and "Guides to the Literature" throughout the text