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Goldstein H., Poole C., Safko J. — Classical mechanics
Goldstein H., Poole C., Safko J. — Classical mechanics



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Название: Classical mechanics

Авторы: Goldstein H., Poole C., Safko J.

Аннотация:

For thirty years this has been the acknowledged standard in advanced classical mechanics courses. This classic book enables readers to make connections between classical and modern physics - an indispensable part of a physicist's education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the book to include the latest topics, applications, and notation, to reflect today's physics curriculum. They introduce readers to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help readers to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the book remains fully accessible to readers who have not had an intermediate course in classical mechanics. For college instructors and students.


Язык: en

Рубрика: Физика/Классическая физика/Теоретическая механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: third edition

Год издания: 2000

Количество страниц: 638

Добавлена в каталог: 19.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Covariant Hamiltonian      349 352
Covariant Lagrangian      318 321 322 350 352
Covariant principle      325
Covariant vector      289
Covariant, relativistic      577
Cramer's rule      149 263
Cross section, high energy limit      127
Cross section, Rutherford      110
Cross section, total      110
Crossing the T      8
Current conserved      594 595
Current density      588
Current elastic rod      567
Current field flow      568 571 594
Current flow, RL circuit      51
Curvature scalar      327
Cyclic coordinate      55 343 369
Cyclic coordinate, Kepler problem      445
Cyclic group      606
Cyclotron frequency      318 553
Cyclotron resonance      318
D'Alembert characteristic      548
D'Alembert principle      16—20 46 313
d'Alembertian      296
Damping      519
Damping, exponential      262
Damping, van der Pol equation      490
Deflection angle, scattering      113
Degeneracy      244 465
Degeneracy conditions      465
Degeneracy, exact      547
Degeneracy, Kepler problem      470 484
Degeneracy, proper      547
Degeneracy, vibrational modes and frequencies      257
Degrees of freedom      13 245 255 342 427 541 549 563
Degrees of freedom, Hamiltonian      342
Degrees of freedom, many      457
Degrees of freedom, molecular vibrations      256
Degrees of freedom, n particles      13
Degrees of freedom, oscillator      264
Degrees of freedom, rigid body      135
Degrees of freedom, vibration      257
Delaunay variables      477
Delta, $\delta$-function      588
Delta, $\delta$-variation      38
Delta, Kronecker ($\delta_{ij}$)      138 181 190
Dense quasi-periodic orbits      491
Derivative, functional      574
Deterministic      483
Differential equation, inhomogeneous      259
Diffusion      524
Dihedral group      606 607
Dilation of time      279
Dimension, Cantor set      516
Dimension, fractal      516 517
Dimension, Hausdorff      517
Dipole moment, gravitational      226
Dipole moment, magnetic      185 230
Dirac $\delta$-function      588
Direction cosines      136
Direction cosines, orthogonality      138
Direction cosines, transformation      139
Dissipation, exponential damping      263
Dissipation, forces      259
Dissipation, function      22—24 53 63 261
Dissipation, Rayleigh      23
Disturbing function      533
Divergence      295
Divergence, 4-divergence      296
Divergence, relativistic      565
Divergence, theorem, four dimensional      581 593
Divergenceless      581
Doppler effect      329
Drag force      24 52
Dual space      292
Duffing oscillator      523
Duffing oscillator, inverted      524
Dumbbell molecule      347
Dynamic steady state      267
Earth — Moon system      124
Earth, equatorial bulge      223
Earth, figure axis      226
Earth, Lagrangian for precession      227
Earth, potential      226 227
Earth, precession      226
Earth, spinning ring      229
Earth, torques      237
Eccentric anomaly      99
Eccentricity      94 95 532
Eccentricity, Sun and Moon      227
Ecliptic      208 228
Eigenvalue      156—158
Eigenvalue, angular momentum      411
Eigenvalue, equation      157
Eigenvalue, Euler's theorem      157
Eigenvalue, inertia tensor      195 196
Eigenvalue, linear triatomic molecule      254
Eigenvalue, oscillations      241
Eigenvalue, problem      157
Eigenvalue, transformation matrix      160
Eigenvector      247
Eigenvector, indeterminacy      258
Eigenvector, inertia tensor      196
Eigenvector, linear combination      248
Eigenvector, orthonormal      249
Eigenvector, oscillations      244
Eigenwerte (German for eigenvalue)      156
Einstein field equations      327 538
Einstein summation convention      139
Einstein tensor      327
Einstein velocity addition law      283 328
Elastic collision      118 120 306
Elastic scattering      120
Elastic solid      563
Elastic wave      560
Electric circuit, equation      264
Electric circuit, Lagrangian      53
electromagnetic field      31 51 55 275 571 587
Electromagnetic field, Lagrangian      350
Electromagnetic field, Lagrangian, covariant      352
Electromagnetic potential      342
Electromagnetic radiation      54
Electromagnetic theory      276
Elementary particle      51 54 300 615
ellipse      81
Ellipse, figure      96
Ellipse, harmonic oscillator      377
Ellipse, orbit equation      484
Ellipse, phase space plot      98
Ellipse, properties      97
Ellipse, semimajor axis      95 475
Ellipse, shape, scale, orientation      105 473
Ellipse, table      97
Ellipsoid, Binet      203 204
Ellipsoid, inertia      196 201
Ellipsoid, kinetic energy      204 258
Ellipsoid, moment of inertia      197
Ellipsoid, rigid body      185—188
Ellipsoidal coordinates for Hamilton — Jacobi equation      479
Elliptic function      89
Elliptic integral      234
Elliptic region for chaos      504
Elsewhen      279
Elsewhere      279
Energy, center of      312
Energy, central force      74 77
Energy, conservation      60
Energy, conserved      61—63
Energy, free, Gibbs      337
Energy, free, Helmholtz      337
Energy, function      60—63 314
Energy, hypersurface      494
Energy, potential      4
Ensemble      419
Ensemble, microcanonical      421
Enthalpy      336
Equant      129
Equation of motion      74
Equation of state, gas      85
Equilateral triangle group      609
Equilibrium, generalized forces      238
Equilibrium, indifferent      240
Equilibrium, neutral      240
Equilibrium, stable      238
Equilibrium, statistical      421
Equilibrium, unstable      239
Equinox      539
Equinox, precession      223—230
Equipotential curve, gravitation      125
Equipotential curve, Henon — Heiles      498
Equivalence principle      324 346
Ergotic hypothesis      418
Escape velocity      31
Ether      566
Euclidean dimension      518 519
Euclidean space      517
Euler angles      150—154 196 601
Euler angles, angular velocity      602 615
Euler angles, conventions      154
Euler angles, figure      152
Euler angles, infinitesimal      165
Euler angles, left handed      152
Euler angles, SU(2) rotation      412
Euler angles, time changes      210
Euler angles, x-convention      154 601
Euler angles, xyz-convention      154 603
Euler angles, y-convention      154 601
Euler equations      198 199 234
Euler equations derived from Lagrange's equations      200
Euler equations, heavy symmetrical top      210
Euler equations, symmetric body      205
Euler inhomogeneous function      86
Euler parameters      155 182 602
Euler solution of three body problem      122
Euler theorem      155—161
Euler theorem, homogeneous functions      320
Euler — Lagrange      564
Euler — Lagrange complex scalar field      583
Euler — Lagrange electromagnetic field      587
Euler — Lagrange equation      45 64 65 319 354
Euler — Lagrange relativistic equation      564 588
Event      279 311
Extremum path      40
Extremum problem      39
Extremum surface area      40
Faraday tensor      297 298
Feigenbaum diagram, logistic equation      510 513—515
Feigenbaum number      514
Feigenbaum plot      506
Feigenbaum point      511
Fermat's principle      360
Field equation, Lagrange — Euler      583
Field theory      558—589
Field theory, Hamiltonian formulation      571—577
Field theory, Noether's theorem      589—598
Field theory, relativistic      583—598
Field, canonical equations      574
Field, classical theory      571
Field, complex      596
Field, complex scalar      583
Field, definition      566
Field, elastic      51
Field, electromagnetic      31 51 55 275 571 587
Field, elementary particle      51
Field, gravitational      176 185 210 275
Field, relativistic      571
Field, scalar      287 583
Field, scalar meson      571 599
Figure axis      539
Fission      120
Fluid dynamics      419
Fluid, perfect      579
Flux density      107
Force, central      7 70
Force, centrifugal      176
Force, cut off      111
Force, driving      259
Force, effective      80 94 175
Force, electromagnetic      259
Force, external      5
Force, generalized      19 21 58 238
Force, gradient of potential      10
Force, gravitational      93
Force, inertial      5
Force, internal      5 11
Force, inverse square      77 92
Force, linear restoring      83
Force, long range      110
Force, Lorentz      22 131 237 317 350
Force, Minkowski      299 322
Force, relativistic      297
Force, reversed effective      18 80
Force, strong      299
Force, weak      299
Foucault pendulum      179 183 184
Four-vector      see 4-vector
Four-velocity      see 4-velocity
Fourier series      14 126 574
Fourier series, convergence      545
Fourier series, multiple      460
Fourier transform      274
Fractal      516 620
Fractal area      521
Fractal dimension      490
Fractal dimension, Sierpinski carpet      519
Fractal geometry      491
Fractal self-similarity      505 514
Free energy, Gibbs      337
Free energy, Helmholtz      337
Frequency, characteristic      266
Frequency, commensurate      106
Frequency, critical      266
Frequency, cyclotron      318 553
Frequency, driving      490
Frequency, imaginary      244
Frequency, Larmor      231
Frequency, resonant      490
Friction      24
Friction, atmosphere      32
Friction, drag      24
Friction, electrical      52
Friction, oscillating system      262
Friction, rolling      17
Functional      287 293
Functional, derivative      574 575
future      279
Galactic center      496
Galaxy model, Henon — Heiles      496 497 516
Galilean system      2
Galilean transformation      276—280
Gas, equation of state      85
Gauge transformation      595
Gauge transformation, general      619
General relativity      324
Generalized force      19 21 57 58
Generalized mechanics      65
Generating function      371 372
Generating function, canonical transformations, table of      373
Generating function, chaos      488
Generating function, infinitesimal canonical transformation (I.C.T.)      403
1 2 3 4 5 6
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