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9780486435022

Elements of Relativity Theory

by
  • ISBN13:

    9780486435022

  • ISBN10:

    0486435024

  • Format: Paperback
  • Copyright: 2004-06-04
  • Publisher: Dover Publications

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Summary

The basic concepts of relativity theory are conveyed through worked and unworked examples in this text, which requires no mathematics beyond elementary algebra. Suitable for undergraduates and graduates, its emphasis on physical principles and concepts presents the basic concepts thoroughly and prepares students for more advanced studies .1985 edition.

Table of Contents

Special Principle of Relativity
1(18)
The Nature of Space and Time
1(2)
Cartesian Reference Frames
3(3)
Inertial Frames
6(2)
Newtonian Mechanics. Inertial Forces
8(2)
Special Principle of Relativity
10(2)
Propagation of Light
12(3)
Axioms for Special Relativity
15(1)
Measurement of Time
16(3)
Lorentz Transformation
19(28)
Time Factor k
19(2)
Lorentz Transformation Equations
21(1)
Comment on the Lorentz Equations
22(3)
Fitzgerald Contraction
25(3)
Simultaneity. Dilation of Time
28(4)
Doppler Effect
32(2)
Miscellaneous Problems
34(3)
Complete Lorentz Transformation
37(1)
Proper Time Interval
38(3)
Light Cone
41(6)
Exercises
44(3)
Velocity Transformations
47(11)
Velocity Transformation Equations
47(2)
Immediate Consequences
49(1)
Relative Velocity
50(1)
Tachyons
51(2)
Miscellaneous Problems
53(5)
Exercises
56(2)
Relativistic Mechanics
58(22)
Conservation of Momentum and Mass
58(4)
Second Law of Motion. Force
62(2)
Equation of Work
64(4)
Equivalence of Mass and Energy
68(1)
Relation between Energy and Momentum
69(2)
Transformation of Mass, Momentum, and Force
71(2)
Miscellaneous Problems
73(7)
Exercises
78(2)
General Theory of Relativity
80(22)
General Principle of Relativity
80(1)
Inertial Forces
81(2)
Principle of Equivalence
83(4)
Mach's Principle
87(1)
Bending of Light by Gravity
88(2)
Reddening of Light by Gravity
90(1)
Non-Euclidean Space
91(2)
General Reference Frames
93(2)
Local Inertial Frames
95(2)
Metric of Space-time
97(1)
Geodesics through Space-time
98(2)
Einstein's Equations of Gravitation
100(2)
Appendix
102(4)
A.1 Vectors
102(2)
A.2 Important Result
104(2)
Index 106

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