Relativity: An Introduction to Spacetime Physics

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CRC Press, Sep 2, 2003 - Science - 280 pages
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Provides the essential principles and results of special relativity as required by undergraduates. The text uses a geometric interpretation of space-time so that a general theory is seen as a natural extension of the special theory. Although most results are derived from first principles, complex and distracting mathematics is avoided and all mathematical steps and formulae are fully explained and interpreted, often with explanatory diagrams.; The emphasis throughout the text is on understanding the physics of relativity. The structure of the book is designed to allow students of different courses to choose their own route through the short self-contained sections in each chapter. The latter part of the book shows how Einstein's theory of gravity is central to unraveling fundamental questions of cosmology.
  

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Contents

CLASSICAL PHYSICS
1
12 NEWTONIAN MECHANICS
5
13 GRAVITY
15
14 MAXWELLS ELECTRO MAGNETISM
17
15 THE WAVE MODEL OF LIGHT
22
16 A SUMMARY OF CLASSICAL PHYSICS TO 1900
27
PROBLEMS WITH SPA CE AND TIME
34
21 PROBLEMS OF MOTION AND CHANGE
35
32 SPACETIME DIAGRAMS
136
33 SPECIAL RELATIVITY AND GEOMETRY
139
34 RELATIVITY AND GEOMETRY
148
35 VELOCITY MOMENTUM AND ENERGY
158
36 SPACETIME MECHANICS
162
37 EXAMPLES FROM PARTICLE PHYSICS
168
38 SUMMARY OF IDEAS AND EQUATIONS IN CHAPTER 3
173
39 PROBLEMS
174

22 THE PROBLEM OF THE ETHER
38
23 THE MICHELSONMORLEY EXPERIMENT
43
24 THE PRINCIPLE OF RELATIVITY
47
25 TIME DILATION
50
26 THE TIME DILATION FORMULA
54
27 TESTING TIME DILATION
57
28 LENGTH CONTRACTION
62
29 THE RELATIVITY OF SIMULTANEITY
67
210 SYNCHRONIZATION ERRORS AND CORRECTIONS
71
211 RELATIVISTIC VELOCITY ADDITION
74
212 RELATIVISTIC MASS
81
213 MASS AND ENERGY
86
214 MASS ENERGY AND MOMENTUM
95
215 MASS ENERGY AND PARTICLE PHYSICS
100
216 THE TWIN PARADOX A FIRST LOOK
105
217 THE LORENTZ TRANSFORMATION
109
218 USING THE LORENTZ TRANSFORMATION
115
219 SUMMARY OF IDEAS AND EQUATIONS IN CHAPTER 2
120
220 PROBLEMS
121
SPACETIME
130
31 THE GEOMETRY OF SPACE AND TIME
131
GENERAL RELATIVITY AND COSMOLOGY
184
4 INERTIAL FORCES
185
42 THE EQUIVALENCE PRINCIPLE
188
43 GRAVITY AND LIGHT
193
44 GRAVITY AND TIME
199
45 THE GEOMETRY OF CURVATURE
207
46 GRAVITY AND GEOMETRY
214
47 NONEUCLIDEAN GEOMETRY
221
48 THE GENERAL THEORY
223
49 THE GEOMETRY OF THE UNIVERSE
228
410 BLACK HOLES
239
411 GRAVITATIONAL WAVES
248
412 SUMMARY OF IDEAS AND EQUATIONS IN CHAPTER 4
256
413 PROBLEMS
258
APPENDIX
265
52 RADIATION PRESSURE
267
53 SOLUTIONS
268
Further Reading
274
Index
276
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