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The Geometry of Special Relativity

The Geometry of Special Relativity

Hardcover

Series: Textbooks in Mathematics

General MathematicsGeometryPhysics

ISBN10: 1032008202
ISBN13: 9781032008202
Publisher: CRC Press
Published: Jun 10 2021
Pages: 174
Weight: 1.00
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English

This unique book presents a particularly beautiful way of looking at special relativity. The author encourages students to see beyond the formulas to the deeper structure.

The unification of space and time introduced by Einstein's special theory of relativity is one of the cornerstones of the modern scientific description of the universe. Yet the unification is counterintuitive because we perceive time very differently from space. Even in relativity, time is not just another dimension, it is one with different properties

The book treats the geometry of hyperbolas as the key to understanding special relativity. The author simplifies the formulas and emphasizes their geometric content. Many important relations, including the famous relativistic addition formula for velocities, then follow directly from the appropriate (hyperbolic) trigonometric addition formulas.

Prior mastery of (ordinary) trigonometry is sufficient for most of the material presented, although occasional use is made of elementary differential calculus, and the chapter on electromagnetism assumes some more advanced knowledge.

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