Special relativity, electrodynamics, and general relativity :
[Book]
from Newton to Einstein /
John B. Kogut.
Second edition.
London, United States :
Academic Press, an imprint of Elsevier,
2018.
1 online resource
Includes bibliographical references and index.
Front Cover; SPECIAL RELATIVITY, ELECTRODYNAMICS, AND GENERAL RELATIVITY; SPECIAL RELATIVITY, ELECTRODYNAMICS, AND GENERAL RELATIVITY: From Newton to Einstein; Copyright; CONTENTS; ABOUT THE BOOK COVER; PREFACE; 1. SPECIAL RELATIVITY WITH A MISSION; 2. GENERAL RELATIVITY; 3. BACKGROUND READING AND RECOMMENDATIONS FOR FUTURE READING; REFERENCES; 1 -- Physics According to Newton-A World With No Speed Limit; 1.1 NEWTON'S WORLD: LAWS AND MEASUREMENTS; 1.2 NEWTON'S WORLD: NO PLACE FOR MAGNETISM; 2 -- Space-Time Measurements According to Einstein; 2.1 A WORLD WITH A SPEED LIMIT.
2.2 MAKING A CLOCK WITH MIRRORS AND LIGHT2.3 LORENTZ CONTRACTION; 2.4 THE RELATIVITY OF SIMULTANEITY; 2.5 TIME DILATION REVISITED; 2.6 LORENTZ CONTRACTION REVISITED; PROBLEMS; REFERENCE; 3 -- Visualizing Relativity-Minkowski Diagrams and the Twins; 3.1 SPACE AND TIME AXES FOR INERTIAL FRAMES AND THE CONSTANCY OF THE SPEED OF LIGHT; 3.2 VISUALIZING THE RELATIVITY OF SIMULTANEITY, TIME DILATION, AND LORENTZ CONTRACTION; 3.3 THE DOPPLER EFFECT; 3.4 THE TWIN PARADOX; 3.5 EINSTEIN MEETS SHAKESPEARE-RELATIVISTIC HISTORY; 3.6 REALITY, HORSE RACING, AND THE SPEED LIMIT; PROBLEMS; REFERENCES.
4 -- Lorentz Transformations (Boosts), Addition of Velocities, and Invariant Intervals4.1 LORENTZ TRANSFORMATION (BOOSTS); 4.1.1 Time Dilation; 4.1.2 Lorentz Contraction; 4.1.3 Relativity of Simultaneity; 4.2 RELATIVISTIC VELOCITY ADDITION; 4.3 CAUSALITY, LIGHT CONES, AND PROPER TIME; PROBLEMS; REFERENCES; 5 -- Illustrations and Problems in Space-Time Measurements; 5.1 A SPACESHIP RENDEZVOUS; 5.2 A HOLE IN THE ICE; 5.3 A VELOCITY GREATER THAN THE SPEED LIMIT?; PROBLEMS; REFERENCES; 6 -- Relativistic Dynamics: First Steps; 6.1 ENERGY, LIGHT, AND E = MC2.
6.2 PATCHING UP NEWTONIAN DYNAMICS-RELATIVISTIC MOMENTUM AND ENERGY6.3 RELATIVISTIC FORCE AND ENERGY CONSERVATION; 6.4 ENERGY AND MOMENTUM CONSERVATION, AND FOUR-VECTORS; 6.5 FOCUSING ON FOUR-VECTORS, TENSORS, AND NOTATION; 6.6 COLLISIONS AND CONSERVATION LAWS-CONVERTING MASS TO ENERGY AND ENERGY TO MASS, PRODUCING AND DESTROYING PARTICLES; PROBLEMS; REFERENCES; 7 -- Acceleration and Forces in Relativity: The Birth of Dynamical Fields; 7.1 ACCELERATION IN RELATIVITY; 7.2 TRANSFORMATION PROPERTIES OF FORCES; 7.3 THE DEATH OF NEWTON'S THIRD LAW, AND STATIC FORCES: THE BIRTH OF FIELDS; PROBLEMS.
8 -- Boosting the Electrostatic Force, Electromagnetic Fields and More on Four-Vectors8.1 THE ELECTRIC FIELD AROUND A MOVING POINT CHARGE; 8.2 THE FORCE BETWEEN TWO MOVING CHARGES; 8.3 TRANSFORMING E AND B BETWEEN FRAMES; 8.4 MORE ON INVARIANTS AND FOUR-VECTORS; PROBLEMS; REFERENCES; 9 -- Maxwell's Equations of Electrodynamics and the Wave Equation; 9.1 BOOSTING GAUSS' LAW AND DISCOVERING MAXWELL'S EQUATIONS; 9.2 THE WAVE EQUATION FOR LIGHT AND THE DERIVATION THAT LIGHT TRAVELS AT THE SPEED LIMIT; PROBLEMS; 10 -- Magnetism in the Lab, the Discovery of Relativity, and the Way Forward.
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Special Relativity, Electrodynamics, and General Relativity: From Newton to Einstein is intended to teach students of physics, astrophysics, astronomy, and cosmology how to think about special and general relativity in a fundamental but accessible way. Designed to render any reader a "master of relativity, ïÅư all material on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor.