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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
Lie bracket, relations      415
Lie group      411 412 611—613
Lie subgroup      613
Light cone      279 280
Lightlike      278 304
Limit cycle      489
Limit cycle, figure      491
Limit cycle, van der Pol equation      491
Line of nodes      150 473
Linear momentum      1
Linear momentum, particle      1
Linear momentum, system of particles      6
Linear momentum, total      6
Liouville theorem      418—421 428 483
Lissajous figure      83 258 439 458 462
Lissajous figure, noncommensurate      464
Lissajous figure, sketch      440 463
Ljapunov      see Liapunov
Logistic equation      509 620
Logistic equation, control parameter      510
Logistic equation, Feigenbaum diagram      510 513—515
Logistic equation, fourfold cycle      510
Logistic equation, iterations      510
Logistic equation, Liapunov exponent      512 514
Logistic equation, self-similarity      514
Logistic equation, twofold cycle      510
Longitude of ascending node      474
Lorentz      282
Lorentz boost      284
Lorentz condition      297
Lorentz force      22 131 237 350
Lorentz frame      580
Lorentz group      282 610
Lorentz invariance      302 577
Lorentz ten constraints      282
Lorentz transformation      280—265
Lorentz transformation, boost      282
Lorentz transformation, equations for $ct'$ and $r'$      281
Lorentz transformation, general matrix      281
Lorentz transformation, homogeneous      282
Lorentz transformation, inhomogeneous      282 610
Lorentz transformation, invariance      302
Lorentz transformation, pure      284
Lorentz transformation, scattering      306
Lorenz equations      523
Lyapunov      see Liapunov
M-matrix      382—389 394
MacCullagh formula      225
Mach's principle      324
Magnetic field, charge particle motion      23 317
Magnetic field, uniform      409
magnetic moment      230
Magnetic rigidity      318
Manifold      576 611 618
Mapping      287
Mapping, quadratic      503
Mass, center of      312
Mass, reduced      71
Mass, weighted coordinates      241
Matrix, addition      145
Matrix, antisymmetric      148 165
Matrix, cofactor      340
Matrix, determinant      159
Matrix, hermitean      412
Matrix, infinitesimal element      164
Matrix, inverse      147
Matrix, J-      342 383—389
Matrix, M-      382—389 394
Matrix, multiplication      144
Matrix, orthogonal      147
Matrix, reciprocal      147
Matrix, rectangular      147
Matrix, skew symmetric      148
Matrix, transpose      147
Matrix, unitary      412
Maxwell's equations      54 276 297 350
Maxwell's equations, covariant form      298
Mean anomaly      102
Mechanics      see Classical mechanics
Merry-go-round      183
Meson      331 616
Meson, scalar      571 599
Metric, Minkowski space      287 580
Metric, Minkowski space, matrix      287
Metric, tensor      327
MeV, definition      32
microcanonical ensemble      421
Million electron volt, definition      32
Minimum, gravitational coupling principle      325
Minimum, surface of revolution      40
Minkowski coordinate      288
Minkowski force      299 322
Minkowski space      278 580
Minkowski space, two dimensional      287
Mixing      516
Mixing, property of chaos      491
Mode, normal      252
Moderator      120
Molecule, internal coordinates      272
Molecule, linear triatomic      272
Molecule, pentatomic      272
Molecule, polyatomic      258 259
Molecule, polyatomic, rotation and vibration      180
Molecule, triatomic      275
Molecule, vibrating      253 258
Molecule, vibrating, linear polyatomic      558
Moment of force, definition      2
Moment of inertia      191
Moment of inertia, about axis of rotation      192
Moment of inertia, choice of origin      193
Moment of inertia, coefficients      187
Moment of inertia, ellipsoid      197
Moment of inertia, integral      194
Moment of inertia, operator      188
Moment of inertia, parallel axes      193 194
Momentum, angular      187 344
Momentum, canonical      55 314
Momentum, center of      312
Momentum, conjugate      55 335 351
Momentum, conservation      403
Momentum, density      569 573 579
Momentum, electromagnetic      55
Momentum, generalized      55
Momentum, linear      1 6 24 344
Momentum, representation      576 598
Monochromatic light      259
Monogenic      34
Monopole, magnetic      131 427
Motion, bounded      80 484
Motion, chaotic      491—493
Motion, equation      74
Motion, hyperbolic      315
Motion, periodic      484
Multiplet      615 616
Multiply periodic      458 461
Multivector      614
Napier's rules      476
Network, electrical      264
Neutron scattering      120
Newtonian equations of motion      199
Newtonian formulation versus Lagrangian      199
Newtonian mechanical corpuscles      132
Newtonian second law      1 299
Newtonian third law      5
Nielsen form of Lagrange's equations      30
No-interaction theorem      324 353
Node, ascending      472
Node, line of      150 473
Noether's theorem      344 566 589 594
Noether's theorem, conditions      590
Noether's theorem, conserved current      594
Noether's theorem, conserved quantities      418
Noether's theorem, discrete      596 597
Noether's theorem, statement of      594 595 597
Noether's theorem, symmetry properties      598
Non-Euclidean      278
Nonabelian group      606
Noncommensurate      464
Nonholonomic system      45
Noninertial system      175
Normal, behavior in chaos      515
Normal, coordinates      250 251
Normal, modes      252 256
Number theory theorem      463
Nutation      215
Nutation, heavy symmetrical top      209 214
O(3) group      610
Oblateness, Earth      229
Oblateness, Moon      229
Occupation number      253
One dimensional problem, equivalent      76
One-form      see I-form
Operational calculus      275
Optics, geometric      112
Optics, meteorological      114
Orbit, bounded      80
Orbit, chaotic      522
Orbit, circular      80 81 94
Orbit, closed      452
Orbit, closed, conditions for      89
Orbit, commensurate      106
Orbit, degenerate      106
Orbit, elliptic      94 95 484
Orbit, equation      99
Orbit, equation, integration      93
Orbit, equation, of state      86
Orbit, hyperbolic      94 110
Orbit, inclination      474
Orbit, open      452
Orbit, osculating      531
Orbit, parabolic      94
Orbit, phase space      452
Orbit, quasi-periodic      490
Orbit, reflection symmetry      87
Orbit, regular      522
Orbit, satellite      229
Orbit, shape, scale, orientation      105 473
Orbit, stable      90
Orbit, unbounded      79
Orbit, unstable      90
Orbiting      113
Orthogonal matrix      147
Orthogonal transformation      139
Orthogonality condition      140
Oscillation      238—265
Oscillation, eigenvalue equation      241—249
Oscillation, forced      259—265
Oscillation, free vibration frequencies      249 253
Oscillation, Josephson junction      271
Oscillation, normal coordinates      249—253
Oscillation, pendulum, damped and driven      265—271
Oscillation, potential expansion      238—241
Oscillation, principal axis transformation      241—249
Oscillation, triatomic molecule      253—259
Oscillator, anharmonic      545
Oscillator, double      486
Oscillator, parametric      508
parabola      81 94 128
Parametric resonance      505 508 509
Parity      590
PAST      279
Pauli matrices      412 612 614
Pendulum, damped driven      265
Pendulum, double      14
Pendulum, equation      267
Pendulum, hysteresis      270
Pendulum, periodicity      453
Pendulum, perturbation      533
Pendulum, phase angle      533
Pendulum, plane      234
Pendulum, spherical      83 428
Pentatomic molecule      272
Periapsis      99 108 540 541
Periastra      474
Pericynthion      99
Perigee      474
Perihelion      99 100 474 477 484
Perihelion, Mercury      332 538 539
Period doubling      516
Periodic frequency      455
Periodic libration      452
Periodic motion      452 484
Periodic multiply      458
Periodic orbits of pendulum      454
Periodic rotation      452
Periodic, quasi      461
Permutation group      609
Permutation symbol ($\epsilon_{ijk}$)      169 173 181
Perturbation      487
Perturbation theory      229 338 483 526—555
Perturbation theory, examples      533—541
Perturbation theory, quantum      527
Perturbation theory, time dependent      527—533
Perturbation theory, time independent      541—549
Perturbation, action-angle variables      541
Perturbation, adiabatic invariance      549—555
Perturbation, degeneracy      547 548
Perturbation, fast variable      547
Perturbation, first order      530 534 537
Perturbation, Hamilton — Jacobi equation      543
Perturbation, Hamiltonian      526
Perturbation, harmonic oscillator      529
Perturbation, Kepler problem      536
Perturbation, n-th order      530
Perturbation, pendulum      533
Perturbation, precession, equinoxes      539
Perturbation, precession, Mercury      538 539
Perturbation, precession, satellite orbits      539
Perturbation, second order      534 544
Perturbation, secular      532 535
Perturbation, slow variable      547
Perturbation, solar system      532
Phase space      335 370 453 573
Phase space, ellipse      98
Phase space, harmonic oscillator      380
Phase space, harmonic oscillator, damped driven, plot of      507
Phase space, harmonic oscillator, uncoupled      486 487
Phase space, Kepler problem      98
Phase space, orbits      454
Phase space, point transformation      370
Phase space, regular orbits, Henon — Heiles      502
Phase space, trajectory      354
Photomeson production      304
Photon      253
Pitch angle      154 603
Planck's constant      380
Poincare integral invariants      394
Poincare map (or section)      494 495
Poincare map (or section), Henon — Heiles      499—501
Poincare map (or section), Kepler problem      495
Poincare transformation      282
Poinsot's construction      201 202 206 234
Point, inflection      42
Point, Lagrange      124
Point, saddle      124
Point, transformation      31 370 422
Point, transformation, configuration space      370
Point, transformation, phase space      370
Point, turning      78
Poisson bracket      388—41
1 2 3 4 5 6
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