Six not-so-easy pieces : Einstein's relativity, symmetry, and space-time

목차 (Table of Contents)

• CONTENTS
• Introduction / by Roger Penrose = ⅶ
• Special Preface = xv
• Feynman's Preface = xxi
• ONE : Vectors = 1
• 1-1 Symmetry in physics = 1
• 1-2 Translations = 2
• 1-3 Rotations = 5
• 1-4 Vectors = 9
• 1-5 Vector algebra = 12
• 1-6 Newton's laws in vector notation = 15
• 1-7 Scalar product of vectors = 18
• TWO : Symmetry in Physical Laws = 23
• 2-1 Symmetry operations = 23
• 2-2 Symmetry in space and time = 24
• 2-3 Symmetry and conservation laws = 29
• 2-4 Mirror reflections = 30
• 2-5 Polar and axial vectors = 35
• 2-6 Which hand is right? = 38
• 2-7 Parity is not conserved! = 40
• 2-8 Antimatter = 43
• 2-9 Broken symmetries = 46
• THREE : The Special Theory of Relativity = 49
• 3-1 The principle of relativity = 49
• 3-2 The Lorentz transformation = 53
• 3-3 The Michelson-Morley experiment = 54
• 3-4 Transformation of time = 59
• 3-5 The Lorentz contraction = 63
• 3-6 Simultaneity = 63
• 3-7 Four-vectors = 65
• 3-8 Relativistic dynamics = 66
• 3-9 Equivalence of mass and energy = 68
• FOUR : Relativistic Energy and Momentum = 73
• 4-1 Relativity and the philosophers = 73
• 4-2 The twin paradox = 77
• 4-3 Transformation of velocities = 79
• 4-4 Relativistic mass = 83
• 4-5 Relativistic energy = 88
• FIVE : Space-Time = 93
• 5-1 The geometry of space-time = 93
• 5-2 Space-time intervals = 97
• 5-3 Past, present, and future = 99
• 5-4 More about four-vectors = 102
• 5-5 Four-vector algebra = 106
• SIX : Curved Space = 111
• 6-1 Curved spaces with two dimensions = 111
• 6-2 Curvature in three-dimensional space = 123
• 6-3 Our space is curved = 125
• 6-4 Geometry in space-time = 128
• 6-5 Gravity and the principle of equivalence = 129
• 6-6 The speed of clocks in a gravitational field = 131
• 6-7 The curvature of space-time = 137
• 6-8 Motion in curved space-time = 137
• 6-9 Einstein's theory of gravitation = 141
• Index = 145