Elements of Theoretical Physics

Christian Christiansen

Macmillan, 1897 - Mathematical physics - 339 pages

Contents

• SECTION: 5
• The Work Done on a Body during its Motion in a Closed: 16
• The Potential of a System of Masses: 34
• Gausss Theorem The Equations of Laplace and Poisson: 41
• Action and Reaction On the Molecular and Atomic Structure: 48
• A Material System: 53
• Moment of Momentum: 55
• The Energy of a System of Masses: 56
• Conditions of Equilibrium Rigid Bodies 6889: 58
• Rotation of a Rigid Body The Pendulum: 60
• CHAPTER II: 62
• Components of Stress: 64
• Relations among the Components of Stress: 67
• The Principal Stresses: 69
• Faradays Views on the Nature of Forces Acting at a Distance: 72
• Deformation: 74
• Relations between Stresses and Deformations: 79
• Conditions of Equilibrium of an Elastic Body: 82
• Stresses in a Spherical Shell: 83
• The Differential Coefficients: 84
• Torsion: 85
• Flexure: 87
• Equations of Motion of an Elastic Body: 89
• Plane Waves in an Infinitely Extended Body: 90
• Other Wave Motions: 93
• Vibrating Strings: 95
• Potential Energy of an Elastic Body: 96
• CHAPTER III: 99
• Examples of the Equilibrium of Fluids: 101
• CHAPTER IV: 103
• Transformation of Eulers Equations: 106
• Vortex Motions and Currents in a Fluid: 107
• Steady Motion with VelocityPotential: 109
• Lagranges Equations of Motion: 111
• Wave Motions PAGE 107: 112
• CHAPTER V: 115
• Equations of Motion of a Viscous Fluid: 118
• Flow through a Tube of Circular Cross Section 115 118: 119
• CHAPTER VI: 121
• Conditions of Equilibrium: 123
• Capillary Tubes: 125
• CHAPTER VII: 127
• Electrical Potential: 128
• The Distribution of Electricity on a Good Conductor: 130
• The Distribution of Electricity on a Sphere and on an Ellipsoid: 132
• Electrical Distribution: 135
• Complete Distribution: 139
• Mechanical Force Acting on a Charged Body: 141
• Lines of Electrical Force: 143
• Electrical Energy: 145
• A System of Conductors: 146
• Mechanical Forces: 150
• The Condenser and Electrometer: 151
• The Dielectric: 155
• SECTION PAGE LXVI Conditions of Equilibrium: 157
• Mechanical Force and Electrical Energy in the Dielectric: 158
• CHAPTER VIII: 163
• The Magnetic Potential: 166
• The Potential of a Magnetized Sphere: 168
• The Forces which Act on a Magnet: 169
• Potential Energy of a Magnet: 171
• Magnetic Distribution: 173
• Lines of Magnetic Force: 174
• The Equation of Lines of Force: 178
• Magnetic Induction: 179
• Magnetic Shells: 180
• CHAPTER IX: 184
• Systems of Currents: 186
• The Fundamental Equations of ElectroMagnetism: 188
• Systems of Currents in General: 190
• The Action of Electrical Currents on each other: 192
• The Measurement of CurrentStrength on the Quantity of Electricity: 194
• Ohms Law and Joules Law: 197
• CHAPTER X: 199
• Coefficients of Induction: 202
• Measurement of Resistance: 205
• Fundamental Equations of Induction: 208
• ElectroKinetic Energy: 210
• Absolute Units: 211
• CHAPTER XI: 215
• Calculation of the Period: 217
• The Fundamental Equations for Electrical Insulators or Dielectrics: 219
• Plane Waves in the Dielectric: 221
• The Hertzian Oscillations: 223
• Poyntings Theorem: 224
• CHAPTER XII: 229
• Fresnels Formulas: 231
• The ElectroMagnetic Theory of Light: 235
• Equations of the ElectroMagnetic Theory of Light: 237
• Refraction in a Plate: 242
• Double Refraction: 246
• Discussion of the Velocities of Propagation: 249
• The Wave Surface: 251
• The Wave Surface continued: 254
• The Direction of the Rays: 256
• 127: 258
• 128: 259
• Double Refraction at the Surface of a Crystal: 261
• Double Refraction in Uniaxial Crystals: 264
• 130: 265
• CHAPTER XIII: 266
• 132: 269
• Ideal Gases: 270
• Cyclic Processes: 272
• Carnots and Clausius Theorem: 274
• 135: 275
• Application of the Second Law: 279
• 139: 281
• The Development of Heat by Change of Length: 282
• Van der Waals Equation of State: 283
• 141: 284
• Saturated Vapours: 289
• The Entropy: 292
• Dissociation: 295
• CHAPTER XIV: 298
• Steady State: 300
• The Periodic Flow of Heat in a given Direction: 301
• A Heated Surface: 303
• The Flow of Heat from a Point: 304
• The Flow of Heat in an Infinitely Extended Body: 305
• The Formation of Ice: 307
• The Flow of Heat in a Plate whose Surface is kept at a Constant Temperature: 308
• The Development of Functions in Series of Sines and Cosines: 312
• The Application of Fouriers Theorem to the Conduction of Heat: 315
• The Cooling of a Sphere: 318
• 143: 319
• On the Conduction of Heat in Fluids 322: 325
• The Influence of the Conduction of Heat on the In tensity and Velocity of Sound in Gases: 330
• 151: 335
• 155: 336

Bibliographic information

• Title: Elements of Theoretical Physics
• Author: Christian Christiansen
• Translated by: William Francis Magie
• Publisher: Macmillan, 1897
• Original from: the University of California
• Digitized: Feb 18, 2011
• Length: 339 pages