The Geometry of Special Relativity
by Tevian Dray
2nd Edition
Publisher: Chapman & Hall
Book Details
| Print ISBN | 9781138063921 |
| eText ISBN | 9781351663205 |
| Publisher | Chapman & Hall |
| Publishing Year | 2021 |
| Edition | 2nd Edition |
| Language | English |
| Pages | 196 |
The Geometry of Special Relativity, 2nd Edition, is a textbook that uses hyperbola geometry as the primary foundation for understanding special relativity. Part of the Textbooks in Mathematics series, the volume emphasizes geometric concepts over formulas to show how time differs in properties from spatial dimensions.
The text connects circle and hyperbola geometry to physical principles, deriving key relations such as relativistic velocity addition directly from hyperbolic trigonometric addition identities. Core coverage also addresses relativistic paradoxes, mechanics, and electromagnetism.
Prior mastery of ordinary trigonometry is sufficient for most of the presentation. Elementary differential calculus is used only occasionally, with more advanced knowledge reserved for the chapter on electromagnetism.
Table of Contents
Chapter 1: Introduction
Chapter 2: The Physics of Special Relativity
Chapter 3: Circle Geometry
Chapter 4: Hyperbola Geometry
Chapter 5: The Geometry of Special Relativity
Chapter 6: Applications
Chapter 7: Problems III
Chapter 8: Paradoxes
Chapter 9: Relativistic Mechanics
Chapter 10: Problems II
Chapter 11: Relativistic Electromagnetism
Chapter 12: Problems III
Chapter 13: Beyond Special Relativity
Chapter 14: Three-Dimensional Spacetime Diagrams
Chapter 15: Minkowski Area via Light Boxes
Chapter 16: Hyperbolic Geometry
Chapter 17: Calculus
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