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| Авторизация |
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| Поиск по указателям |
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| Houston W.V. — Principles of Mathematical Physics |
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| Предметный указатель |
Absolute value of a complex number 36
Acceleration 16
Acceleration, along radius 26
Adiabatic transformation 157
Amp re, Andre — Marie 212
Ampere, unit of current 214
Analytic properties of a vector 77
Angular momentum, of rigid body 105
Angular velocity 112
Areal velocity 20
Argument of a complex number 36
Auxiliary conditions in a variation problem 60
Auxiliary equation 30
Axes, coordinate 14 26 93
Axes, fixed in moving body 109
Axes, principal 101 114
Bessel’s equation 42
Brachistrochrone 54
Canonical distribution 172
Canonical equations of motion 72
Capacitance 193
Carnot, Sadi 145
Center, of a system of particles 21
Center, of mass of a rigid body 103
Characteristic equation of a thermodynamic system 147
Chasle’s theorem 111
Clausius, R. 146
Complementary function 31
complex numbers 34
Complex numbers, conjugate 35
Complex numbers, functions of real variables 37
Complex numbers, graphical representation 36
Components, of a tensor 100
Components, of a vector 77
Conductivity, electrical 211
Conductor, electrical 192 193
Conic section 27
Conjugate of a complex number 35
Conservation, of angular momentum 20
Conservation, of electrical charge 232
Conservation, of linear momentum 19
Conservation, of mechanical energy 18
Conservation, of thermodynamic energy 154
Conservative forces 65
Constrained motion 68
Continuous distribution of electrical charge 186
Continuous string, vibrations of 128
Coordinates, curvilinear 93
Coordinates, normal 50 123
Coordinates, plane polar 26
Coordinates, right handed Cartesian 14
Cosine, hyperbolic 39
Coulomb, C. A. 182
Coulomb’s law 182
Couple 106
Coupled oscillators 48
Critical point 153
Critically damped vibrations 45
Curl of a vector field 87
Current density 211 216
Curvilinear coordinates 93
Cyclical processes 151
Damped vibrations 44
Decomposition, principle of 37
Density in phase 170
Diamagnetism 220
Dielectric 192 195
dielectric constant 197
Differential equation 2
Differential equation, arbitrary constants in solution 5
Differential equation, complementary function 31
Differential equation, degree of 3
Differential equation, exact 3
Differential equation, homogeneous 8
Differential equation, linear with constant coefficients 29
Differential equation, linear with constant coefficients, first order 6
Differential equation, number of solutions 5
Differential equation, order 3
Differential equation, partial 3
Differential equation, particular integral 31
Differential equation, second order reducible to first order 12
Differential equation, solution by power series 40
Differential equation, solution by separation of variables 5
Differentiation, of integrals 11
Differentiation, of vectors 82
Dipole, electric 188
Dipole, magnetic 216
Directrix of a conic section 27
Displacement current 232
Dissipation function 71
Divergence of a vector field 85
Double layer, Electric 188
Dyad 101
Dyad, of inertia 113
Eccentricity of a conic section 27
Einstein, A. 184 246
Electric displacement 191
Electric field strength 183
Electric field strength, due to a dipole 189
Electric moment 188
Electric polarization 189
Electromagnetic induction 227
Electromagnetic potentials 237
Electromagnetic units 213
Electromagnetic waves 238
Electromotive force 212
Electrostatic energy 206
Electrostatic units 185
Energy, conservation of mechanical 18
Energy, kinetic 18
Energy, of a magnetic field 222 231
Energy, of a perfect gas 155
Energy, of a thermodynamic system 146 154
Energy, of a vibrating string 132
Energy, of an electric field 206
Energy, of an electromagnetic field 230 235
Energy, potential 18 28
Ensemble 170
Ensemble, Canonical 172
Ensemble, microcanonical 174
entropy 161
Entropy, in statistical mechanics 178
Essential singularities of a differential equation 41
Euler's equations 115
Eulerian angles 117
Expansion in series of orthogonal functions 134
Faraday, Michael 227
ferromagnetism 220
Field, electric 183
Field, magnetic 214
Field, vector 83
First law of thermodynamics 153
Focus of a conic section 27
force 16
Force function 64
Force, between steady currents 212
Force, conservative 65
Force, external 46
Force, moment of 106
Forced vibrations 45
Fourier series 132 135
Free energy 180
Free rotation of a rigid body 120
Function, definition of 2
Galilean transformation 244
Gaussian system of electrical units 235
Gauss’s law 187
Gauss’s theorem 90
Geometrical properties of a vector 75
Gradient 84
| Graphical integration 9
Graphical methods in thermodynamics 165
Graphical representation of complex numbers 36
Gravitation, law of 25
Gyroscope, simple motions of 122
Hamilton’s equations of motion 72
Hamilton’s function 73
Hamilton’s principle 62
Heat 150
Heat, capacity 149
Heat, latent 149
Heat, mechanical theory of 145
Heat, unit of 149
Helmholtz, H. von 146
Henry, Joseph 227
Hermite polynomials 135
Hertz, H. 184
homogeneous differential equations 8
Huygens, C. 145
Hyperbolic functions 39
imaginary numbers 35
Index of probability 175
Induced magnetization 220
Induced polarization, electrical 195
Induced polarization, energy of 207
Induction, coefficients of 230
Induction, magnetic 219
Insulator 192 195
Integrals, definite 9
Integrals, differentiation of 11
Integrals, graphical evaluation of 9
Integrals, indefinite 9
Integrals, numerical evaluation of 10
Integrating factor 6
Internal energy 154
Internal energy, in statistical mechanics 177
Isobar 148
Isotherm 148
Joule — Thomson experiment 166
Joule, J. P. 146
Joule’s experiment 156
Kelvin scale of temperature 161
Kelvin, Lord 146
Kepler’s law of planetary motion 27
kinetic energy 18
Kinetic energy, of a rigid body 118
Kinetic potential 65
Lagrange’s equation for a variation problem 58
Lagrangian function 65
Laplace’s equation 200
Legendre polynomials 42
Legendre’s equation 42
Lewis, G. N. 257
Line integral 88
Linear differential equations, of the first order 6
Linear differential equations, of the first order, with constant coefficients 29
Linear vector functions 98
Liouville’s theorem 169 171
Loaded string 124
Lorentz contraction 255
Lorentz transformation 247
Lorentz, H. A. 240
Mach, E. 16
Magnetic field strength 214
Magnetic induction 219
Magnetic law of force 213 214 223
magnetic moment 216
Magnetic permeability 221
magnetic susceptibility 221
Magnetic vector potential 215
magnetization 218
Mass 16
Mass, variation with velocity 257—259
Maxwell's equations 233
Maxwell's equations, Lorentz’s form of 239
Maxwell's equations, transformation of 250
Mayer, J. R. 146
Mechanical equivalent of heat 155
Mechanical theory of heat 145
Membrane, vibrations of 142
microcanonical ensemble 174
Modulus, of a canonical distribution 175
Modulus, of a complex number 36
Moment, electric 188
Moment, magnetic 216
Moment, of force 20 106
Moment, of inertia 114
Moment, of momentum 20
Momentum, angular, of a rigid body 105
Momentum, conservation of angular 20
Momentum, conservation of linear 20
Momentum, linear, of a rigid body 104
Momentum, moment of 20
Motion, Hamiltonian equations of 72
Motion, harmonic 23
Motion, Newton's equations of 14
Motion, of a projectile 21
Motion, under an inverse-square force 25
Neumann, F. E. 227
Newton’s equations of motion 14
Newton’s equations of motion, in special relativity 257
Newton’s equations of motion, invariance under a Galilean transformation 244
Non-conservative forces 70
Non-essential singularities of a differential equation 41
Non-uniform string, vibrations of 136
Normal coordinates 51 123 131
Normal vibrations of a continuous string 128
Normalization of orthogonal functions 134
Oersted, H. C. 210
Ohm's law 210
Operator D 32
Orthogonal functions 134
Overdamped vibrations 45
Paramagnetism 220
Particular integral 31
Perfect gas 151 155
Permeability, magnetic 221
Phase space 168
Polarizability 197
Postulates of relativity 245
Potential 97
Potential, electromagnetic 237
Potential, electrostatic 184
Potential, electrostatic, boundary conditions on 201
Potential, energy 18
Potential, magnetic vector 215
Power series solutions of differential equations 40
Poynting's vector 236
Practical units 214
Principal axes 101
Principal axes, of a rigid body 114
Probability of phase 173
Products of inertia 114
Projectile, against air resistance 22
Projectile, motion of 21
Radiation from an oscillating dipole 240
Regular points of a differentia] equation 40
Relativity of simultaneity 254
Resistance of air 22
resistivity 211
Reversible engines 159
Reversible processes 150
Rigid bodies 103
Rigid bodies, free rotation of 120
Rigid bodies, kinematics of 110
Rigid bodies, kinetic energy of 118
Root-mean-square deviation 176
Rotation, about a fixed axis 119
Rotation, about a fixed point 121
Scalar product of vectors 79
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