An edition of An illustrated guide to relativity
(2010)
An illustrated guide to relativity
by Tatsu Takeuchi
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Presents a step-by-step explanation of Einstein's Special Theory of Relativity through a series of diagrams rather than equations.
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An illustrated guide to relativity
2010, Cambridge University Press
in English
0521763940 9780521763943
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Book Details
Table of Contents
Pt. I. Kinematics: relativity without any equations
1. Welcome to the world of relativity
2. Basics
Questions about motion
Frames of reference
Relativity of motion
The Law of Inertia
Inertial and non-inertial frames
What's so "special" about Special Relativity?
3. Galilean relativity
Basic questions
Spacetime diagrams
The Galilei transformation
Addition of velocities
Acceleration and Newton's Second Law
4. Einsteinian relativity
The mystery of the speed of light
Modification to the spacetime diagram
The problem
The solution
Einstein's argument
The solution, continued
Conservation of spacetime volume
The Lorentz transformation
The low velocity limit of the Lorentz transformation
Addition of velocities
Dependence of inertia on speed
5. Causality
Before and after
Paradox?
Instantaneous communication?
Impossibility of faster than light travel
The light-cone
6. Consequences
Synchronization of clocks
Time dilation
What time dilation DOES NOT mean
Lorentz contraction
What Lorentz contraction DOES NOT mean
Twin paradox
Doppler effect
Red shift
Blue shift
Red shift and the expansion of the universe
Pt. II. Problems
8. Qualitative problems
Reading the spacetime diagram
Street lamps
Supernovae
Questions on before and after
The hare and the tortoise 1, 2, 3
The starship and the supernova
Relativistic sports
Tagging up in baseball 1, 2
The offside rule in soccer
Lorentz contraction
Train and tunnel
The starship and the enemy space cruiser 1, 2
The duel of the space cruisers
Trains in a tunnel
9. Quantitative problems
Addition of velocities
Pt. III. Dynamics: relativity with a few equations
10. The world's most famous equation
11. The problem
12. Newtonian dynamics
The mass-momentum vector
The impulse vector
Inertial mass
Newton's Second Law
Newton's Third Law and the conservation of mass-momentum
13. Relativistic dynamics
The energy-momentum vector
The energy-momentum vector of a photon
The work-impulse vector
Conservation of energy-momentum
E=mc2
Common misconception about E=mc2
14. Summary of Pt. III.
Edition Notes
Includes bibliographical references (p. [254]) and index.
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