Geometry of Special Relativity

The author encourages students to look beyond the formulas to the deeper structure of special relativity, using the geometry of hyperbolas to simplify the formulas and emphasize their geometric content. Prior mastery of trigonometry is sufficient for most of the material, and the Second Edition has been expanded to include new topics such as Lorentz transformations, three-dimensional spacetime diagrams, and Minkowski space.

Format: Paperback / softback
Length: 174 pages
Publication date: 10 June 2021
Publisher: Taylor & Francis Ltd

This captivating book offers a truly mesmerizing perspective on special relativity, urging students to delve beyond the confines of formulas and uncover the profound underlying structure. The unification of space and time, a cornerstone of Einstein's revolutionary theory of relativity, presents a paradoxical concept as we perceive time distinctly from space. Even within the realm of relativity, time is not merely a dimension but a unique entity with its own distinct properties.

The book employs the geometry of hyperbolas as the gateway to understanding special relativity. By simplifying the formulas and emphasizing their geometric essence, the author unravels the complexities and reveals the underlying beauty of the theory. Numerous significant relations, including the renowned relativistic addition formula for velocities, flow effortlessly from the appropriate hyperbolic trigonometric addition formulas.

While prior mastery of ordinary trigonometry is sufficient for most of the material presented, occasional use of elementary differential calculus is made, and the chapter on electromagnetism assumes a more advanced level of knowledge.

In the Second Edition, the treatment of Minkowski space and spacetime diagrams has been expanded, encompassing a geometric derivation of Lorentz transformations, a comprehensive discussion of three-dimensional spacetime diagrams, and a brief geometric description of area, its measurement of time and distance. Minor notational changes have been implemented to harmonize with existing usage in the literature.

The Table of Contents provides a glimpse into the book's contents:

Preface: An introduction to the subject and a roadmap for the journey ahead.
1. Introduction: Setting the stage for exploring the wonders of special relativity.
2. The Physics of Special Relativity: Unveiling the fundamental principles and laws that govern the universe.
3. Circle Geometry: Delving into the geometric foundations of special relativity.
4. Hyperbola Geometry: Unlocking the secrets of curved spacetime and its profound implications.
5. The Geometry of Special Relativity: Unraveling the intricate connections and symmetries that shape our understanding.
6. Applications: Applying the principles of special relativity to various scientific and technological fields.
7. Problems III: Engaging in thought-provoking exercises to deepen your understanding and test your knowledge.
8. Paradox: Exploring the enigmatic aspects of special relativity and the challenges it presents.

This captivating book invites readers to embark on a transformative journey of discovery, where the boundaries between space and time dissolve, and the universe reveals its intricate tapestry through the lens of special relativity. Whether you are a student, a scientist, or a seeker of knowledge, this book offers a profound and enriching perspective that will inspire and challenge your understanding of the world.

Weight: 346g
Dimension: 154 x 233 x 22 (mm)
ISBN-13: 9781138063921
Edition number: 2 New edition