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Greiner W. — Classical mechanics. Point particles and relativity |
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Предметный указатель |
-meson 451 455
Aberration formula 405
Aberration relation 410
Acceleration 42 58 73
Accretion theory 314
Addition theorem of velocities 385 419
Angular velocity 81 230
Aphelion 295
Apogee 295
Arc length 49 61
Area theorem 247
Association law 3
Asteroid 295
Astronomy 295
Azimuthal acceleration 79
Base 9
Base vector 68
Base vectors 10
Base vectors, unitary 97
Basic vectors 9
big bang 135
Binomial theorem, general 232
Binormal vector 50 56 57 168
Cardioide 78
Causality principle 414
Cavendish experiment 253
Central force 150
Central force field 114
Central force problem, relativistic 474
Centrifugal potential 257
Chain rule 73 180
Characteristic equation 215 245
circular motion 43
Column orthogonality 373
comets 295
Commutation law 3
Compton sattering 465
Conic sections 248
Conservative force 142
Contour integral 87
Convex surface 66
Coordinate areas 70
Coordinate frame 68
Coordinate frame, Cartesian 7
Coordinate frame, curvilinear 69
Coordinate frame, reciprocal 99
Coordinate lines 70
coordinates 68
Coordinates, bipolar 107
Coordinates, Cartesian 69
Coordinates, natural 49
Copernican world view 317
Cosine law 28
Cramer’s Rule 77
Creeping motion 218
Critical damping 217
Curl 87
Curvature 51 55
Curvature radius 52
Curve, nonplanar 62
Curve, plane 59
Curves, parallel 59
Cyclic permutability 16 25
Cycloid 234 236
Cylindrical coordinates 71 73 78 80 103
Cylindrical coordinates, elliptic 106
Cylindrical coordinates, hyperbolic 106
Cylindrical coordinates, parabolic 105
Damping, critical 218
Darboux rotation vector 54
De Broglie relation 447
Delta operator 103
Determinant 16 17
Differential equation 159 241
Differential equation of second order 197
Differential quotient 39
Differentiation 40 41
Differentiation of a vector 40
Dirac equation 447
Dirac sea 448
Direction cosine 34 373
Direction cosines 30
Distance vector 27
Distance, spacelike 413
Distance, timelike 413
Divergence 83 85 101
Doppler shift 407 411
Dynamic friction 172
Eccentricity 249
Ecliptic 296
Einstein’s box 435
ellipse 249
Elliptic integral 232
Energy law 144
Energy, kinetic 142
Equation of plane 28
equation of straight line 28
Equipotential area 84
Ether 364
Euler formulas 212 216
Evolute 56 58—60
Evolute, generalization 62
Evolvent 58—60
Fermion 447
Fictitious force 156
force 5 34
force constant 160
Force field 109
Forced vibration 220
Four-force 428
Four-vector 374 378 380 425
Four-velocity 427
Frenet’s 352
Friction 172
Friction, Newtonian 172
Friction, Stokes 172
Galileo transformation 363 380
Galileo-invariant 364
Gauss law 112
Gauss theorem 114
Grabmann expansion theorem 19
Gradient 83 100
Gravitational force 7
Gravitational lenses 481
Group 383
Group velocity 421
harmonic oscillator 196
Heart curve 78
Helix 44 57
High tide 302
Hooke’slaw 162 196
Hyperbola 249
Impulse of force 45 144 146
Inertial system 140 362
Initial condition, of a differential equation 160
Integration 45
Integration of vectors 44
Involute 59
Jacobi determinant 100
K-meson 452
kinetic energy 433
Kronecker symbol 8
Laplace expansion theorem 22
Law of areas 151
Left frames 7
Left-handed helix 44
Lemniscate 267
Length contraction 394 396
Length contraction, classical 395
Lenz vector 277
| Light cone 414
Light vectors 381
Lightlike distance 414
Line integral 109
linear combination 9 68
Local Group 324
Logarithmic decrement 216 225
Loop integral 88 89
Lorentz
Lorentz contraction 417
Lorentz scalar 426
Lorentz transformation 370 378
Low tide 302
Magnitude 2
Mass, heavy 164
Mass, inert 164
Matrix 16
Matrix product 31
Matrix, transposed 17
Meridian 76
Meteors 295
Metric coefficients 98
Metric tensor 98
Michelson — Morley experiment 364
Milky Way 308
Minkowski space 374 381
Momentum 136
Muons 391
Neap tide 302
Nebular theory 314
Newton’s axioms 134 135
Normal acceleration 81
Normal plane 58
Normal vector 56 57 65 168
Nuclear fission 454
Nuclear reactions 469
Null vector 3
Nutation, of earth 304
Operator 83
Orientable surface 66
Orientation 68
Orthogonality, column 373
Orthogonality, oscillator potential 160
Osculating plane 58
Pair annihilation 456
Pair of forces 33
parabola 249
Parallelepipedon 26
Parallelogram 13 14
Parity transformation 18
Partial derivative 64
path integral 109
Pendulum 202 229
Pendulum, ballistic 147
Perigee 295
Perihelion 295
Perihelion motion 356
Period 296
phase velocity 421
Photon 448
Planetoid 295
Planets 295
Point mechanics 135
Point-direction form 28
Polygon offerees 32
Position vector 12
Positron 448
Potential 143
Potential, effective 261 290
Power 142
Power series 210
Precession, of earth 304
Principal normal vector 50
Product rule 52
Projection 27
Proper time 427
Ptolemaic world view 315
Radial acceleration 79 81
Rapidity 387
Rectifying plane 58
Reduced mass 274
Relativistic energy law 445
Relativity principle 362 368 370
Relativity principle, classical 140
Resonance 222
Resonance catastrophe 222
Rest energy 434
Rest mass 428
Resultant 3
Right frames 7
Right-handed frame 69
Right-handed helix 13 44
Rope pulley 137
Rotation 83 87 102
Rotation matrix 29
Rotation matrix, transposed 31
Row orthogonality 373
Sarrus rule 17
Satellites 295
scalar 2
Scalar field 83
Scalar product 5
scaling factors 71 96
Secant 42
shooting stars 305
Sink 87
Solar system 296
Solid angle 115
Source 87
Space curve 64
Space reflection 18
Space-time 412
Spacelike
Spherical coordinates 74 104
Spring tide 302
Stars 295
Static friction 173
Stokes law 117
SubMatrix 22
Suns 295
Superposition principle 136 198 244
Surface integral 125
Tangent plane 65
Tangent unit vector 50
Tangent vector 50 55 57 168
Tangential acceleration 82
Tautochrone 237
Taylor expansion 84 210
Taylor series 196 212
Thales, theorem of 29
Throw, inclined 166
Throw, vertical 164
Tidal theory 313
Tides 301
Time dilatation 389 392 417
Time of throw 167
Timelike distance 413
torque 33 34 149 153
Torsion 52 55 56
Torsion radius 52 58
Total differential 84 142
Transient process 221
Transposed matrix 373
Trihedral, moving 49 57 169
Trihedral, reciprocal 98
Triple scalar product 25 72 90
Tscherenkov radiation 443
Tunnel effect 293
Twin paradox 458
Ultraviolet shift 408
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