Menzel D.H. — Mathematical Physics :: Электронная библиотека попечительского совета мехмата МГУ

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Menzel D.H. — Mathematical Physics

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Название: Mathematical Physics

Автор: Menzel D.H.

Аннотация:

Mathematical techniques vital in classical mechanics, electromagnetic theory, quantum theory, relativity. 193 problems, answers.

Thorough, extremely useful treatment of classical mechanics, electromagnetic theory and relativity, including full explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations and other advanced mathematical techniques. Nearly 200 problems with answers from many different fields of physics and varying widely in difficulty.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1953

Количество страниц: 412

Добавлена в каталог: 01.04.2008

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Предметный указатель

Absorption coefficient      11 340 348
Absorption of radiation      309
Acceleration      7 8
Acceleration of Coriolis      81
Adiabatic law      147 186
Ampere’s theorem      258 262
Amplitude      294
Analytical geometry      32
angle      8 10 326
Angular acceleration      8
Angular velocity      8 66
Anomalous dispersion      346
Antisymmetric dyadic      88
Antisymmetric tensor      384 385
Area      7 30 71
Areal velocity      8
Axial vector      74
Bernoulli’s theorem      147
Bessel function      200 233
Bivector      98 325
Bohr magneton      16
Boltzmann      16 18
Boundary surface      299
Boundary value problems      224
Boyle’s law      147 186
Canonical equations      161
Capacitance      13 251
Capacity      12
Cartesian axes      86
Cartesian system      119
Cayley — Hamilton theorem      176
Center of mass      30
Centripetal force      159
Christoffel symbol      119 392
Circuital theorem      262
Circular loop      271
Circular membrane      201
circular polarization      355
Circulation      148
Classical damping factor      338
Classical electromagnetic theory      237
Complex conjugate      191
Complex variable      188
Complex wave velocity      213
Conductance      12 13
Conductivity      11 12
Conjugate dyadic      88
Conservation of angular momentum      30
Conservation of energy      28 36
Conservation of momentum      29
Contact transformation      164
Continuity      141 142 381
Continuous currents      264
Contravariant      111 114 116
Contravariant tensor      385
Conversion factors      1 2
coordinates      108 135 182
Coriolis, acceleration of      81
Coulomb’s law      5
Covariant      119
Covariant tensor      128
Cramer’s Rule      96
Critical damping      216
Curl      125 141
Current      4 13
Current density      290
Curvilinear coordinates      108
Cylindrical coordinates      182
Damped linear oscillator      221
Damped oscillator      220
Damping      215 216 338
Deflection of starlight      402
density      7
deSitter’s curved world      408
dielectric constant      3 7 247 308
Dielectrics      308
Differentiation of vectors      76
Dimensional analysis      18
Dimensional constants      2
Dimensionless combinations      21
Dimensions, physical      1
Dipole radiation      337
Direction cosines      172
dispersion      346
Displacement currents      264
Divergence      121
Doppler effect      348 391
Doppler shifts      403
Dyad      87
Dyadic      74 86 87 88 178 180 329
Dyadic transformations      89 102
Dynamics      27 155
Eigenfunctions      200 211 233
Eigenray      102 104
Eigenvalue      187
Eigenvector      102 176
Einstein      376
Elasticity      86
Electric charge      3
Electric conductivity      12
Electric current      12
Electric displacement      301
electric field      237
Electric intensity      12 248
Electric moment      12
Electric polarization      340
Electric potential      12 13
Electromagnetic force field      283
Electromagnetic mass      317
Electromagnetic radiation      280
Electromagnetic system      4 259
Electromagnetic theory      237 280
Electromagnetic wave      292
Electromagnetism      258
Electronic charge      17
Electronic mass      17
Electrostatic potential      238
Electrostatic system      4 259
Electrostatics      237
Energy      9 10 28 36
Energy density      10
Energy, kinetic      9
Energy, potential      9
Equation of continuity      141 384
Equations of motion      27 155
Equipotential surfaces      41
Euclidean space      403
Euler      145
Flow of heat      224
Flux      10 42 126 173 356
force      9 157
Force intensity      9
Force vector      36
Forced vibrations      219 340
Forces on an accelerated charge      317
Fourier integral      349
Fourier series      193 198
frequency      7
Galaxies      406
Galileo      27
Gaussian system      5
Gaussian units      6 282
Gauss’ law      46 239 295
Gauss’ Theorem      44 76 139 142
General relativity      391
Generalized force      157
Geodesic      132
Gradient      38
Gravitation      3 17 237
Green’s Theorem      44 132 173

Group velocity      349
Hamilton — Cayley equation      106
Hamilton — Jacobi      169
Hamiltonian      9 359
Hamiltonian equations      164
Hamiltonian function      160
Hamilton’s principle      164 167
Harmonic functions      51
Heat      11 224 225 228
Henry      6
Hermitian conjugate      98
Hermitian matrix      104
Hydrodynamic equations      145 146
Hydrodynamics      141
Hyperspace      157
Idemfactor      88
Incompressible fluid      142
Index of refraction      408
Induced charge      243
Inertia      8
Inertial dyadic      180
Integration of vectors      76
Intensity, specific      11
Ionization      262
Ionized gases      249
Kepler      20 84 401
Kepler’s law      20 84
kinetic energy      9
Kinetic potential      159
Kronecker symbol      113
Lagrangian equations      155 159 160 167
Lamellar      144
Laplace’s equation      51 226
Laplace’s theorem      48 151
Laplacian      75 121 179
Larmor’s theorem      351
Law of areas      30
Least action      164
Legendre polynomials      174
Length      7
Light      280
Lindemann      249
Line integral      35
Linear equations      93
linear oscillator      338
linear polarization      355
Lorentz transformation      383
Lorentz — FitzGerald contraction      379
Loschmidt’s number      17 18
Maclaurin’s expansion      231
Magnetic charge      238
Magnetic dipole      253
Magnetic field      4 237 271 273 274
Magnetic field intensity      13
Magnetic induction      238 257
magnetic moment      13
Magnetic permeability      3 7
Magnetic pole strength      3
Magnetic poles      5
Magnetic potential      13
Magnetic shell      255
magnetization      280
Magneton      16
Magnetostatic force-fields      253
Magnetostatics      237
Mass      7 30
Matrices      86 93 175
Matrix      95 106 107 115
Matrix product      94
Maxwell      5 6 282
Maxwell’s equations      275 290 388
Maxwell’s equations, tensor form      383
Mechanical systems      201
Mechanics      27
Mercury      401
Michelson — Morley experiment      379 383
Minkowski      379
Mixed tensor      386
MKS system      6 282
moment      8
Moment of inertia      8
Moment of momentum      8
Momentum      8 30 68 298
Momentum of radiation      298
Moving coordinate systems      78
Newton      5 27
Newton’s equation      381
Normalization      200
Observation      1
Orthogonal curvilinear coordinates      135
Orthogonality      55
Phase angles      326
Physical constants      13
Physical dimensions      1 238
Planck’s constant      18 234
Point transformation      164
Poisson brackets      161 164 181
Poisson’s equation      392
Poisson’s theorem      48 151
Polar vector      74
Polarization      280 340 355
Potential      10 40 63 174 177 238 255
potential energy      9 29
Potential function      172
Potential gradient      12 239
Poynting vector      289 294 356
Practical units      261
Pressure      10
Propagation      294
Pulsating charge      329
Quadrupole radiation      337
Radiant flux      10
Radiation      10 15 280 295 298 299 309 329 337 338
Radiation constant      15
Radiation pressure      295 299
Radius of gyration      232
rationalization      5
Rayleigh — Jeans law      24
Reciprocal matrix      95
Reciprocal system      102
Reflection      301
Refraction      301 408
Refractive index      308 340
Relativity      375 391
Resistance      12 13
Riemann — Christoffel      128
Riemann — Christoffel tensor      130 393
Riemannian geometries      408
Riemannian space      399 403 406
Rodrigues’ formula      233
Rotating charged disk      273
Rotation      86
Rotor      68
Sakur — Tetrode constant      17
scalar      66 102
Scalar potential      264 314
Scalar product      69
Schroedinger      16
Sectorial harmonic      59
Secular equation      102 103
Self inductance      13
Skew-symmetric dyadic      88
Smithsonian Physical Tables      7
Solar atmosphere      249
Solenoid      150
Solenoidal      144
Solenoidal vector      270
Solid angle      10
Space-time manifold      391
Special theory of relativity      375

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