An Illustrated Guide to Relativity

Cover......Page p0001.djvu
Half-title......Page p0003.djvu
Title......Page p0005.djvu
Copyright......Page p0006.djvu
Contents......Page p0007.djvu
Preface to English edition......Page p0010.djvu
Preface to Japanese edition......Page p0011.djvu
Part I: Kinematics......Page p0013.djvu
1 Welcome to the world of relativity......Page p0014.djvu
Notes......Page p0015.djvu
2.1 Questions about motion......Page p0016.djvu
2.2 Frames of reference......Page p0017.djvu
2.3 Relativity of motion......Page p0024.djvu
2.4 The Law of Inertia......Page p0026.djvu
2.5 Inertial and non-inertial frames......Page p0030.djvu
2.6 What\'s so \"special\'\' about Special Relativity?......Page p0038.djvu
Notes......Page p0040.djvu
3.1 Basic questions......Page p0042.djvu
3.2 Spacetime diagrams......Page p0046.djvu
3.3 The Galilei transformation......Page p0052.djvu
3.4 Addition of velocities......Page p0066.djvu
3.5 Acceleration and Newton\'s Second Law......Page p0068.djvu
Notes......Page p0070.djvu
4.1 The mystery of the speed of light......Page p0071.djvu
4.2 Modification to the spacetime diagram......Page p0076.djvu
4.3 The problem......Page p0078.djvu
4.4 The solution......Page p0084.djvu
4.5 Einstein\'s argument......Page p0092.djvu
4.6 The solution, continued......Page p0097.djvu
4.7 Conservation of spacetime volume......Page p0100.djvu
4.8 The Lorentz transformation......Page p0106.djvu
4.9 The low velocity limit of the Lorentz transformation......Page p0120.djvu
4.10 Addition of velocities......Page p0122.djvu
4.11 Dependence of inertia on speed......Page p0128.djvu
Notes......Page p0130.djvu
5.1 Before and after......Page p0132.djvu
5.2 Paradox?......Page p0134.djvu
5.3 Instantaneous communication?......Page p0136.djvu
5.4 Impossibility of faster than light travel......Page p0138.djvu
Notes......Page p0140.djvu
6.1 Synchronization of clocks......Page p0142.djvu
6.2 Time dilation......Page p0144.djvu
6.3 What time dilation DOES NOT mean......Page p0150.djvu
6.4 Lorentz contraction......Page p0152.djvu
6.5 What Lorentz contraction DOES NOT mean......Page p0158.djvu
6.6 Twin paradox......Page p0160.djvu
6.7 Doppler effect......Page p0166.djvu
6.7.1 Red shift......Page p0168.djvu
6.7.2 Blue shift......Page p0170.djvu
6.7.3 Red shift and the expansion of the universe......Page p0172.djvu
7 Summary of Part I......Page p0174.djvu
Part II: Problems......Page p0177.djvu
8.1.1 Street lamps......Page p0178.djvu
8.1.2 Supernovae......Page p0180.djvu
8.2.1 The hare and the tortoise 1......Page p0182.djvu
8.2.2 The hare and the tortoise 2......Page p0184.djvu
8.2.3 The hare and the tortoise 3......Page p0186.djvu
8.2.4 The starship and the supernova......Page p0188.djvu
8.3.1 Tagging up in baseball 1......Page p0190.djvu
8.3.2 Tagging up in baseball 2......Page p0192.djvu
8.3.3 The offside rule in soccer......Page p0194.djvu
8.4.1 Train and tunnel......Page p0196.djvu
8.4.2 The starship and the enemy space cruiser 1......Page p0198.djvu
8.4.3 The starship and the enemy space cruiser 2......Page p0200.djvu
8.4.4 The duel of the space cruisers......Page p0202.djvu
8.4.5 Trains in a tunnel......Page p0204.djvu
8.2.1 The hare and the tortoise 1 – solution......Page p0206.djvu
8.2.4 The starship and the supernova – solution......Page p0207.djvu
8.3.3 The o.side rule in soccer – solution......Page p0208.djvu
8.4.3 The starship and the enemy space cruiser 2 – solution......Page p0209.djvu
8.4.5 Trains in a tunnel–solution......Page p0210.djvu
Notes......Page p0211.djvu
9.1 Addition of velocities......Page p0212.djvu
Part III: Dynamics: Relativity with a few equations......Page p0219.djvu
Notes......Page p0221.djvu
11 The problem......Page p0222.djvu
12.1 The mass–momentum vector......Page p0224.djvu
12.2 The impulse vector......Page p0230.djvu
12.3 Inertial mass......Page p0232.djvu
12.4 Newton\'s Second Law......Page p0234.djvu
12.5 Newton’s Third Law and the conservation of mass–momentum......Page p0236.djvu
Notes......Page p0240.djvu
13.1 The energy–momentum vector......Page p0242.djvu
13.2 The energy–momentum vector of a photon......Page p0248.djvu
13.3 The work–impulse vector......Page p0252.djvu
13.4 Conservation of energy--momentum......Page p0256.djvu
13.5 E=mc2......Page p0258.djvu
13.6 Common misconception about E=mc2......Page p0260.djvu
Notes......Page p0261.djvu
14 Summary of Part III......Page p0263.djvu
Afterword......Page p0264.djvu
References......Page p0266.djvu
Index......Page p0267.djvu