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The geometry of special relativity

Author: Tevian Dray
Publisher: Boca Raton : Taylor & Francis, ©2012.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
"The Geometry of Special Relativity provides an introduction to special relativity that encourages readers to see beyond the formulas to the deeper geometric structure. The text treats the geometry of hyperbolas as the key to understanding special relativity. This approach replaces the ubiquitous [Gamma] symbol of most standard treatments with the appropriate hyperbolic trigonometric functions. In most cases, this  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Dray, Tevian.
Geometry of special relativity.
Boca Raton : Taylor & Francis, ©2012
(OCoLC)779864596
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Tevian Dray
ISBN: 9781466510487 146651048X 1306499372 9781306499378
OCLC Number: 798535750
Description: 1 online resource (xvii, 131 pages) : illustrations
Contents: 1. Introduction; 2. The Physics of Special Relativity; 3. Circle Geometry; 4. Hyperbola Geometry; 5. The Geometry of Special Relativity; 6. Applications; 7. Problems I; 8. Paradoxes; 9. Relativistic Mechanics; 10. Problems II; 11. Relativistic Electromagnetism; 12. Problems III; 13. Beyond Special Relativity; 14. Hyperbolic Geometry; 15. Calculus.
Responsibility: Tevian Dray.
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Abstract:

"The Geometry of Special Relativity provides an introduction to special relativity that encourages readers to see beyond the formulas to the deeper geometric structure. The text treats the geometry of hyperbolas as the key to understanding special relativity. This approach replaces the ubiquitous [Gamma] symbol of most standard treatments with the appropriate hyperbolic trigonometric functions. In most cases, this not only simplifies the appearance of the formulas, but also emphasizes their geometric content in such a way as to make them almost obvious. Furthermore, many important relations, including the famous relativistic addition formula for velocities, follow directly from the appropriate trigonometric addition formulas. The book first describes the basic physics of special relativity to set the stage for the geometric treatment that follows. It then reviews properties of ordinary two-dimensional Euclidean space, expressed in terms of the usual circular trigonometric functions, before presenting a similar treatment of two-dimensional Minkowski space, expressed in terms of hyperbolic trigonometric functions. After covering special relativity again from the geometric point of view, the text discusses standard paradoxes, applications to relativistic mechanics, the relativistic unification of electricity and magnetism, and further steps leading to Einstein's general theory of relativity. The book also briefly describes the further steps leading to Einstein's general theory of relativity and then explores applications of hyperbola geometry to non-Euclidean geometry and calculus, including a geometric construction of the derivatives of trigonometric functions and the exponential function."--

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"This short but remarkable book on special relativity develops the theory strictly from the geometry of hyperbolas, an approach unique within the textbook literature. ... it gives an elementary, Read more...

 
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