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Introduction to Relativity : For Physicists and Astronomers - John B. Kogut

Introduction to Relativity

For Physicists and Astronomers


Published: 1st January 2001
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Published: 1st February 2018

Introduction to Relativity is intended to teach physics and astronomy majors at the freshman, sophomore or upper-division levels how to think about special and general relativity in a fundamental, but accessible, way. Designed to render any reader a "master of relativity," everything on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor.
* Simplicity: the book teaches space and time in relativity in a physical fashion with minimal mathematics
* Conciseness: the book teaches relativity by emphasizing the basic simplicity of the principles at work
* Visualization: space-time diagrams (Minkowski) illustrate phenomena from simultaneity to the resolution of the twin paradox in a concrete fashion
* Worked problems: two chapters of challenging problems solved in several ways illustrate and teach the principles
* Problem sets: each chapter is accompanied by a full set of problems for the student that teach the principles and some new phenonmena

"When you are courting a nice girl, an hour seems like a second. When you sit on a red-hot cinder a second seems like an hour. That's relativity." Albert Einstein

Prefacep. xi
Physics According to Newton--A World with No Speed Limitp. 1
Physics According to Einsteinp. 7
A World with a Speed Limitp. 7
Making a Clock with Mirrors and Lightp. 8
Lorentz Contractionp. 12
The Relativity of Simultaneityp. 14
Time Dilation Revisitedp. 16
Lorentz Contraction Revisitedp. 18
Problemsp. 20
Visualizing Relativity--Minkowski Diagramsp. 23
Space and Time Axes for Inertial Frames and the Constancy of Lightp. 23
Visualizing the Relativity of Simultaneity, Time Dilation, and Lorentz Contractionp. 28
The Doppler Effectp. 32
The Twin Paradoxp. 34
Einstein Meets Shakespeare--Relativistic Historyp. 39
Problemsp. 40
Assorted Applicationsp. 43
Lorentz Transformationp. 43
Time Dilationp. 45
Lorentz Contractionp. 45
Relativity of Simultaneityp. 45
Relativistic Velocity Additionp. 46
Causality, Light Cones, and Proper Timep. 48
Problemsp. 51
Illustrations and Problems in Space-Time Measurementsp. 55
A Spaceship Rendevousp. 55
A Hole in the Icep. 57
A Velocity Greater Than the Speed Limit?p. 60
Problemsp. 61
Relativistic Dynamicsp. 64
Energy, Light, and E = mc[superscript 2]p. 64
Patching up Newtonian Dynamics--Relativistic Momentum and Energyp. 67
Relativistic Force and Energy Conservationp. 73
Energy and Momentum Conservation, and Four-Vectorsp. 76
Collisions and Conservation Laws--Converting Mass to Energy and Energy to Massp. 79
Further Topics in Special Relativityp. 85
Problemsp. 86
A Gentle Introduction to General Relativityp. 93
The Equivalence Principle, Gravity, and Apparent Forcesp. 93
Motion in a Rotating, Relativistic Reference Framep. 100
A Look at Curved Surfacesp. 106
Gravitational Red Shiftp. 110
A Freely Falling Inertial Framep. 110
An Accelerating Spaceshipp. 112
Gravitational Red Shift and the Relativity of Simultaneityp. 113
A Rotating Reference Framep. 114
A Famous Experimental Test of Gravitational Red Shiftp. 115
Gravitational Red Shift and Energy Conservationp. 116
The Twins Againp. 118
Making the Most out of Timep. 119
Gravitational Field of a Spherical Mass--The Schwarzschild Metricp. 120
Bending of Light in a Gravitational Fieldp. 122
Closing Commentsp. 126
Problemsp. 128
Illustrations, Problems, and Discussions in General Relativityp. 129
An Aging Astronautp. 129
Geometry and Gravityp. 131
Does Gravity Make Light Go Faster?p. 135
Trapping Light (and Other Stuff) in Black Holesp. 138
Handy Approximations and Expansionsp. 141
Physical Constants, Data, and Conversion Factorsp. 143
Selected Solutions to Problemsp. 144
Chapter 2 Problemsp. 144
Chapter 3 Problemsp. 148
Chapter 4 Problemsp. 150
Chapter 5 Problemsp. 156
Chapter 6 Problemsp. 157
Referencesp. 173
Indexp. 175
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780124175617
ISBN-10: 0124175619
Series: Complementary Science Series
Audience: General
Format: Paperback
Language: English
Number Of Pages: 178
Published: 1st January 2001
Country of Publication: US
Dimensions (cm): 22.86 x 15.34  x 1.5
Weight (kg): 0.33