Elements of Theoretical Physics

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Macmillan, 1897 - Mathematical physics - 339 pages
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Contents

Constrained Motion
24
Keplers Laws
27
Universal Attraction
30
Universal Attraction continued
31
The Potential of a System of Masses
34
Examples Calculation of Potentials
36
Gausss Theorem The Equations of Laplace and Poisson
41
Examples of the Application of Laplaces and Poissons Equations
46
Action and Reaction On the Molecular and Atomic Structure of Bodies
48
The Centre of Gravity
50
SECTION PAOE XVIII A Material System
53
Moment of Momentum 5 r XX The Energy of a System of Masses
56
Conditions of Equilibrium Rigid Bodies
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
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
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
CHAPTER V
115
CHAPTER VI
121
CHAPTER VII
127
Electrical Distribution
135
A System of Conductors
147
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
CHAPTER X
199
Coefficients of Induction
202
Measurement of Resistance 906
207
XXXVIII Fundamental Equations of Induction
208
T XYYTY 9ift XC Absolute Units
211
ELECTRICAL OSCILLATIONS SECTION PACK XCI Oscillations in a Conductor
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
Pointings 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
CHI Discussion of the Velocities of Propagation
249
The Wave Surface
251
The Wave Surface continued
254
The Direction of the Rays
256
Uniaxial Crystals
259
Double Refraction at the Surface of a Crystal
261
Double Refraction in Uniaxial Crystals
264
CHAPTER XIII
266
Ideal Gases
270
Cyclic Processes
272
Carnots and Clausius Theorem
274
Application of the Second Law 270 272 274
279
SECTi0 PAOB CXV The Differential Coefficients
280
Liquids and Solids
281
The Development of Heat by Change of Length
282
Van der Waals Equation of State
283
Saturated Vapours
290
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
The Motion of Heat in an Infinitely Long Cylinder
322
On the Conduction of Heat in Fluids 325
325
The Influence of the Conduction of Heat on the In tensity and Velocity of Sound in Gases
330

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