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Table of Contents
Historical Introduction
The Main Landmarks in the Development of the Special Theory of Relativity
The Principle of Relativity of Galileo. Galileo's Invariance Hypothesis. The Law of Inertia. Inertial Frames of Reference Relativity
Rømer and the Speed of Light
Newton's Laws of Motion. Inertia and Inertial Frames of Reference
The Aberration of Light
Arago's Measurements Concerning the Constancy of the Speed of Light from Stars
Measurements of the Speed of Light in the Laboratory
Attempts to Measure the Dragging of Aether by Moving Media
Maxwell's Equations and the Wave Equation
The Experiment of Michelson and Morley
The Lorentz-Fitzgerald Contraction Hypothesis
The Increase of the Mass of the Electron with Speed
The Invariance of Maxwell's Equations and the Lorentz Transformation
The Formulation of the Special Theory of Relativity
Prolegomena
Inertial Frames of Reference
The Calibration of a Frame of Reference and the Synchronization of its Clocks
The Relativity of Simultaneity
The Relativity of Time and Length
The Inevitability of the Special Theory of Relativity
Relativistic Kinematics
The Lorentz Transformation for the Coordinates of an Event
The Transformation of Velocity
The Transformation of Acceleration
Applications of Relativistic Kinematics
The 'Meson' Paradox
The apparent focusing of fast charged particle beams due to the dilation of time
The Sagnac Effect
Clocks Moving Around the Earth
The Experiment of Hafele and Keating
Einstein's Train
The Twin Paradox
Motion with a Constant Proper Acceleration. Hyperbolic Motion
Two Successive Lorentz Transformations. The Wigner Rotation
Optical Phenomena
The Aberration of Light
Fizeau's Experiment. Fresnel's Aether Dragging Theory
The Doppler Effect
Relativistic Beaming or the Headlight Effect
The Pressure Exerted by Light
Relativistic Dynamics
The Dfinition of Relativistic Momentum. Relativistic Mass
Relativistic Energy
The Relationship Between Momentum and Energy
Classical Approximations
Particles with Zero Rest Mass
The Conservation of Momentum and of Energy
The Equivalence of Mass and Energy
The Transformation of Momentum and Energy
The Zero-Momentum Frame of Reference
The Transformation of the Total Momentum and the Total Energy of a System of Particles
The Collision of two Identical Particles
The Transformation of Force
Motion Under the Influence of a Constant Force. The Motion of a Charged Particle in a Constant Uniform Electric Field
The Motion of a Charged Particle in a Constant Homogeneous Magnetic Field
Applications of Relativistic Dynamics
The Compton Effect
The Inverse Compton Effect
The Consequences of the Special Theory of Relativity on the Design of Particle Accelerators
Mass Defect and Binding Energy of the Atomic Nucleus
Threshold Energy
The General Equations for the Motion of a Relativistic Rocket
Minkowski's Spacetime and Four-Vectors
The 'World' of Minkowski
Four-Vectors
Electromagnetism
Introduction
The Invariance of Electric Charge
The Transformations of the Electric Field and the Magnetic Field
The Fields of a Moving Electric Charge
The Derivation of the Differential form of the Biot-Savart Law from Coulomb's Law
The Force Exerted on a Moving Charge by an Electric Current
Experiments
The Speed of Light
The Aether
The Dilation of Time
The Relativistic Doppler Effect
The Contraction of Length
The Test of the Predictions of Relativistic Kinematics
The Sagnac Effect
The Relativistic Mass
The Equivalence of Mass and Energy
The Test of the Predictions of Relativistic Dynamics
The Invariance of Electric Charge
Appendix 1. The Paradox of the Room and the Rod
Appendix 2. The Appearance of Moving Bodies
Appendix 3. The Derivation of the Expression for the Relativistic Mass in General
Appendix .4. The Invariance of the Equations of Maxwell and the Wave Equation Under the Lorentz Transformation
Appendix 5. Tachyons
Appendix 6. The Lorentz Transformation in Matrix Form
Appendix 7. Table of Some Functions of the Speed
Solutions of the Problem.
The Main Landmarks in the Development of the Special Theory of Relativity
The Principle of Relativity of Galileo. Galileo's Invariance Hypothesis. The Law of Inertia. Inertial Frames of Reference Relativity
Rømer and the Speed of Light
Newton's Laws of Motion. Inertia and Inertial Frames of Reference
The Aberration of Light
Arago's Measurements Concerning the Constancy of the Speed of Light from Stars
Measurements of the Speed of Light in the Laboratory
Attempts to Measure the Dragging of Aether by Moving Media
Maxwell's Equations and the Wave Equation
The Experiment of Michelson and Morley
The Lorentz-Fitzgerald Contraction Hypothesis
The Increase of the Mass of the Electron with Speed
The Invariance of Maxwell's Equations and the Lorentz Transformation
The Formulation of the Special Theory of Relativity
Prolegomena
Inertial Frames of Reference
The Calibration of a Frame of Reference and the Synchronization of its Clocks
The Relativity of Simultaneity
The Relativity of Time and Length
The Inevitability of the Special Theory of Relativity
Relativistic Kinematics
The Lorentz Transformation for the Coordinates of an Event
The Transformation of Velocity
The Transformation of Acceleration
Applications of Relativistic Kinematics
The 'Meson' Paradox
The apparent focusing of fast charged particle beams due to the dilation of time
The Sagnac Effect
Clocks Moving Around the Earth
The Experiment of Hafele and Keating
Einstein's Train
The Twin Paradox
Motion with a Constant Proper Acceleration. Hyperbolic Motion
Two Successive Lorentz Transformations. The Wigner Rotation
Optical Phenomena
The Aberration of Light
Fizeau's Experiment. Fresnel's Aether Dragging Theory
The Doppler Effect
Relativistic Beaming or the Headlight Effect
The Pressure Exerted by Light
Relativistic Dynamics
The Dfinition of Relativistic Momentum. Relativistic Mass
Relativistic Energy
The Relationship Between Momentum and Energy
Classical Approximations
Particles with Zero Rest Mass
The Conservation of Momentum and of Energy
The Equivalence of Mass and Energy
The Transformation of Momentum and Energy
The Zero-Momentum Frame of Reference
The Transformation of the Total Momentum and the Total Energy of a System of Particles
The Collision of two Identical Particles
The Transformation of Force
Motion Under the Influence of a Constant Force. The Motion of a Charged Particle in a Constant Uniform Electric Field
The Motion of a Charged Particle in a Constant Homogeneous Magnetic Field
Applications of Relativistic Dynamics
The Compton Effect
The Inverse Compton Effect
The Consequences of the Special Theory of Relativity on the Design of Particle Accelerators
Mass Defect and Binding Energy of the Atomic Nucleus
Threshold Energy
The General Equations for the Motion of a Relativistic Rocket
Minkowski's Spacetime and Four-Vectors
The 'World' of Minkowski
Four-Vectors
Electromagnetism
Introduction
The Invariance of Electric Charge
The Transformations of the Electric Field and the Magnetic Field
The Fields of a Moving Electric Charge
The Derivation of the Differential form of the Biot-Savart Law from Coulomb's Law
The Force Exerted on a Moving Charge by an Electric Current
Experiments
The Speed of Light
The Aether
The Dilation of Time
The Relativistic Doppler Effect
The Contraction of Length
The Test of the Predictions of Relativistic Kinematics
The Sagnac Effect
The Relativistic Mass
The Equivalence of Mass and Energy
The Test of the Predictions of Relativistic Dynamics
The Invariance of Electric Charge
Appendix 1. The Paradox of the Room and the Rod
Appendix 2. The Appearance of Moving Bodies
Appendix 3. The Derivation of the Expression for the Relativistic Mass in General
Appendix .4. The Invariance of the Equations of Maxwell and the Wave Equation Under the Lorentz Transformation
Appendix 5. Tachyons
Appendix 6. The Lorentz Transformation in Matrix Form
Appendix 7. Table of Some Functions of the Speed
Solutions of the Problem.