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The Geometry of Special Relativity - Paperback, by Dray Tevian - Very Good
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Item specifics
- Condition
- Book Title
- The Geometry of Special Relativity (Textbooks in Mathematics)
- ISBN
- 9781466510470
- Subject Area
- Science, Mathematics
- Publication Name
- Geometry of Special Relativity
- Item Length
- 9.1 in
- Publisher
- A + K Peter's, The Limited
- Subject
- Geometry / General, Physics / Relativity, Applied, Physics / Mathematical & Computational
- Publication Year
- 2012
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.6 in
- Item Width
- 6.3 in
- Item Weight
- 12 Oz
- Number of Pages
- 150 Pages
About this product
Product Information
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 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.
Product Identifiers
Publisher
A + K Peter's, The Limited
ISBN-10
1466510471
ISBN-13
9781466510470
eBay Product ID (ePID)
111416999
Product Key Features
Publication Name
Geometry of Special Relativity
Format
Hardcover
Language
English
Subject
Geometry / General, Physics / Relativity, Applied, Physics / Mathematical & Computational
Publication Year
2012
Type
Textbook
Subject Area
Science, Mathematics
Number of Pages
150 Pages
Dimensions
Item Length
9.1 in
Item Height
0.6 in
Item Width
6.3 in
Item Weight
12 Oz
Additional Product Features
LCCN
2012-010206
Lc Classification Number
Qc173.65
Reviews
This book is very clearly and simply written. The treatment is mathematically and physically sound. The diagrams are especially good. Though there are many introductory books on special relativity, this book is unique in its emphasis on hyperbolic functions and geometry. The book can stand alone as an elementary introduction to relativity. Or it can serve well as a supplement to other books on relativity or electrodynamics. I strongly endorse it. -David Hestenes, Professor Emeritus, Department of Physics, Arizona State University It is usually thought that spacetime geometry is part of the subject of general relativity, and that special relativity is all about clocks and trains and light. But special relativity has a geometry of its own: the Minkowskian geometry of spacetime, as opposed to the usual Euclidean geometry of space. Now The Geometry of Special Relativityby Tevian Dray comes along with a beautiful treatment of this much neglected approach. … The book is written in an extremely clear and engaging style. There are many examples as well as exercises for the reader. Anyone who wants to have a deep understanding of special relativity should read this book. -David Garfinkle, Oakland University The approach to Special Relativity (SR) taken by the author is a novel, geometrical one, relying on the use of (elementary) hyperbolic geometry and employing lots of diagrams instead of the usual, more analytical, approach. … The author writes in a pleasing, informal and highly readable style and deals with time dilation, length contraction, the Lorentz transformations, the Doppler effect, etc. The chapter on the so-called 'paradoxes' of SR provides some welcome relief to any doubts which may arise in the mind of the reader and the three chapters of problems are most useful in the consolidation of the previous material. The author also includes a simple introduction to Minkowski's unification of the electric and magnetic fields which arises as a consequence of SR. This book is a valuable and original addition to the literature on SR. -G.S. Hall, Institute of Mathematics, University of Aberdeen Clear, beautiful, crystalline. Relativity is about hyperbolas in spacetime! The mathematically inclined will savor Tevian Dray's friendly primer. -Rudy Rucker, author of Geometry, Relativity, and the Fourth Dimension This book is essentially a grown-up version of the masterful Spacetime Physics by Taylor and Wheeler. Anyone who teaches or intends to teach special relativity needs to own a copy. -Niall O'Murchadha, Department of Physics, National University of Ireland, This book is very clearly and simply written. The treatment is mathematically and physically sound. The diagrams are especially good. Though there are many introductory books on special relativity, this book is unique in its emphasis on hyperbolic functions and geometry. The book can stand alone as an elementary introduction to relativity. Or it can serve well as a supplement to other books on relativity or electrodynamics. I strongly endorse it. -David Hestenes, Professor Emeritus, Department of Physics, Arizona State University Clear, beautiful, crystalline. Relativity is about hyperbolas in spacetime! The mathematically inclined will savor Tevian Dray's friendly primer. -Rudy Rucker, author of Geometry, Relativity, and the Fourth Dimension, This book is very clearly and simply written. The treatment is mathematically and physically sound. The diagrams are especially good. Though there are many introductory books on special relativity, this book is unique in its emphasis on hyperbolic functions and geometry. The book can stand alone as an elementary introduction to relativity. Or it can serve well as a supplement to other books on relativity or electrodynamics. I strongly endorse it. -David Hestenes, Professor Emeritus, Department of Physics, Arizona State University This text successfully presents a geometrical pictorial view of special relativistic effects that cannot be found in any other introduction for non-scientists. Indeed, I wager that even a practicing relativist will encounter some surprisingly enriching perspectives. -Don Salisbury, Austin College, Texas It is usually thought that spacetime geometry is part of the subject of general relativity, and that special relativity is all about clocks and trains and light. But special relativity has a geometry of its own: the Minkowskian geometry of spacetime, as opposed to the usual Euclidean geometry of space. Now The Geometry of Special Relativityby Tevian Dray comes along with a beautiful treatment of this much neglected approach. … The book is written in an extremely clear and engaging style. There are many examples as well as exercises for the reader. Anyone who wants to have a deep understanding of special relativity should read this book. -David Garfinkle, Oakland University The approach to Special Relativity (SR) taken by the author is a novel, geometrical one, relying on the use of (elementary) hyperbolic geometry and employing lots of diagrams instead of the usual, more analytical, approach. … The author writes in a pleasing, informal and highly readable style and deals with time dilation, length contraction, the Lorentz transformations, the Doppler effect, etc. The chapter on the so-called 'paradoxes' of SR provides some welcome relief to any doubts which may arise in the mind of the reader and the three chapters of problems are most useful in the consolidation of the previous material. The author also includes a simple introduction to Minkowski's unification of the electric and magnetic fields which arises as a consequence of SR. This book is a valuable and original addition to the literature on SR. -G.S. Hall, Institute of Mathematics, University of Aberdeen Clear, beautiful, crystalline. Relativity is about hyperbolas in spacetime! The mathematically inclined will savor Tevian Dray's friendly primer. -Rudy Rucker, author of Geometry, Relativity, and the Fourth Dimension This book is essentially a grown-up version of the masterful Spacetime Physics by Taylor and Wheeler. Anyone who teaches or intends to teach special relativity needs to own a copy. -Niall O'Murchadha, Department of Physics, National University of Ireland
Table of Content
Introduction Newton's Relativity Einstein's Relativity The Physics of Special Relativity Observers and Measurement The Postulates of Special Relativity Time Dilation and Length Contraction Lorentz Transformations Addition of Velocities The Interval Circle Geometry Distance Trigonometry Triangle Trig Rotations Projections Addition Formulas Hyperbola Geometry Trigonometry Distance Triangle Trig Rotations Projections Addition Formulas The Geometry of Special Relativity The Surveyors Spacetime Diagrams Lorentz Transformations Space and Time Dot Product Applications Drawing Spacetime Diagrams Addition of Velocities Length Contraction Time Dilation Doppler Shift Problems I Practice The Getaway Angles are not Invariant Interstellar Travel Cosmic Rays Doppler Effect Paradoxes Special Relativity Paradoxes The Pole and Barn Paradox The Twin Paradox Manhole Covers Relativistic Mechanics Proper Time Velocity Conservation Laws Energy Useful Formulas Problems II Mass isn't Conserved Colliding Oarticles I Colliding Oarticles II Colliding Oarticles III Colliding Oarticles IV Relativistic Electromagnetism Magnetism from Electricity Lorentz Transformations Vectors Tensors The Electromagnetic Field Maxwell's Equations The Unification of Special Relativity Problems III Electricity vs. Magnetism I Electricity vs. Magnetism II Beyond Special Relativity Problems with Special Relativity Tidal Effects Differential Geometry General Relativity Uniform Acceleration and Black Holes Hyperbolic Geometry Non-Euclidean Geometry The Hyperboloid The Poincaré Disk The Klein Disk The Pseudosphere Calculus Circle Trigonometry Hyperbolic Trigonometry Exponentials (and Logarithms) Bibliography
Copyright Date
2012
Target Audience
College Audience
Dewey Decimal
530.11
Dewey Edition
23
Illustrated
Yes
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