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 all levels, the valuable resource introduces key concepts, 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. Throughout, the book provides examples and useful "Guides to the Literature." This unique text 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
1. Galilean relativity 2. Lorentz Boosts 3. Development of the Formalism 4. Electrodynamics 5. Gravity 6. Experiments and Applications
Part II: Mathematics 7. Mathematics of Translations 8. The Rotation Group 9. The Lorentz Group
Professor Ahmad Shariati is an Associate Professor of Physics with Alzahra University, Iran, a public, women's university. He has been teaching physics at a variety of levels for more than two decades, from high school students training for the International Physics Olympiad, to undergraduates, to graduate (MS and PhD) students. Active in research and professional groups such as APS and AAAS as well as teaching, Professor Shariati has also translated texts and articles to his native Persian