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Whittaker E.T., McCrae W. — Treatise on analytical dynamics of particles and rigid bodies
Whittaker E.T., McCrae W. — Treatise on analytical dynamics of particles and rigid bodies



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Название: Treatise on analytical dynamics of particles and rigid bodies

Авторы: Whittaker E.T., McCrae W.

Аннотация:

There can be few books on mathematical mechanics as famous as this, a work that forms a comprehensive account of all the classical results of analytical dynamics.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 4

Год издания: 1989

Количество страниц: 444

Добавлена в каталог: 07.02.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abdank-Abakanowicz, B.      214
Absolute integral-invariants      271
Acceleration      14
Actio Agentis      30
Action and reaction, law of      29
Action, least      248
Adjoint systems      287
Admit, to (a transformation)      319
Albeggiani, M.L.      337
am Ende, H.      112
Amontons, G.      227
Angles, Eulerian      9
Angular Momentum, Integral of      59
Anomaly, true, eccentric, and mean      89
Aphelion      86
Apocentre      85
Appell's equations      258
Appell, P.      73 258 279
Apse      86
Armellini, G.      81 412
Attractive regions of a field of force      403
Axes of inertia, principal      124
Axis of rotation, instantaneous      2
Azimuth      19
Bennett, T.L.      356
Bernoulli's principle      186
Bernoulli, Daniel      62 177 186
Bernoulli, John      62 229
Bertrand's theorem on determination of forces      331
Bertrand's theorem on impulses      260
Bertrand, J.      88 260 320 331 332 338 349
Bessel, F.W.      91
Bilinear covariant      297
Bisconcini, G.      411
Block, H.      411
Bocher, M.      183
Bohlin, K.      340 358 407
Boltzmann — Larmor representation of the Last Multiplier      278
Boltzmann, L.      41 278
Bonacini, C.      408
Bonnet's theorem      94
Bonnet, O.      94
Bour, E.      356
Bracket-expressions, Lagrange's      298
Bracket-expressions, Poisson's      299
Brell, H.      259
Bromwich, T.J.      414
Bruns' theorem      358
Bruns, H.      357 358
Burgatti, P.      69 166 325
Burnside, W.      3 5
Cailler, C.      89
Canonical form of equations of motion      264
Cassie, W.R.      118
Cauchy, A.L.      4 124 264 316
Cayley — Klein parameters      12
Cayley, A.      9 12 115
Central forces      77
Centre of rotation, instantaneous      3
Centrifugal forces      41
Cerruti, V.      330 331
Characteristic exponents      400
Characteristic function      289
Charlier, C.V.L.      395
Chasles' theorem      4
Chasles, M.      4
Chretien, H.      90
Christoffel's symbol      39
Christoffel, E.B.      39
Cigala, A.R.      396
Clairaut, A.C.      78
Classical integrals      358
Clebsch, A.      311
Coefficient of friction      227
Coefficient of stability      396
Collinear Lagrange's particles      392
Collision, orbits of      391
Collisions      234
Components of a vector      14
Components of momentum      48
Conjugate point      252
Conservation of angular momentum      59
Conservation of energy      62
Conservation of momentum      59
Conservative forces      38
Constraint      255
Contact-transformation      290 293
Contact-transformation, homogeneous      301
Contact-transformation, infinitesimal      292 302
Continuation, analytic      410
Conway, A.W.      26
Coordinates of a dynamical system      32
Coordinates, elliptic      97
Coordinates, ignorable or cyclic      54
Coordinates, normal or principal      181
Cotes' spirals      83
Cotes, R.      83
Covariant, bilinear      297
Culverwell, E.P.      251
Curtis, A.H.      97 113
Curvature, Least      255
Cyclic coordinates      54
d'Alembert, J. le R.      177 230
Dainelli, V.      96 112 114
Dall' Acqua, F.A.      316
Darboux, G.      80 109 261 333 396
Dautheville, S.      320
Davaux, E.      400
de Brun, F.      166
de Gasparis, A.      356
de Maupertuis, P.L.N.      248
Definite quadratic form      36
Deformation-covariant      111 404
Degrees of freedom      34
Delaunay, C.      413 419 420
density      117
Derriman, W.H.      118
di Pirro, G.      335
Differential form      296
Differential parameters      111
Displacement      1
Displacement, possible      33
Dissipation-Function      231
Dissipative systems      226
Distance, mean      87
Divisors, elementary      183
Donkin, W.F.      264
Dumas, G.      166
Eccentric anomaly      89
Ejection, orbits of      391
Elementary divisors      183
Elimination of the nodes      341
Elliott, E.B.      210
Ellipsoid of gyration      124
Ellipsoid of inertia      124
Ellipsoid, momental      124
Elliptic coordinates      97
Energy, integral of      62
Energy, kinetic      35
Energy, potential      38
Equations, Appell's      258
Equations, first Pfaff's system of      307
Equations, Hamilton's, of motion      263
Equations, Hamilton's, partial differential      315
Equations, Jacobi's      342
Equations, Lagrangian      37
Equations, Lagrangian, in quasi coordinates      43
Equations, Lagrangian, with undetermined multipliers      213
Equations, variational      268
Equidistant Lagrange's particles      393
Equilibrium-configuration      177
Equilibrium-problem      315
Equimomental bodies      117
Euler, L.      2 8 9 41 72 93 97 100 117 124 127 144 177 248
Eulerian angles      9
Exponents, characteristic      400
Extended point-transformations      293
External forces      32 37
Ferrers, N.M.      215
Field of force      30
Field of force, conservative      38
Field of force, parallel      93
First Pfaff's system      307
Fixity      26
Fixtures, sudden      169
Flux of a vector      14
Flye Sainte-Marie, C.      174
Focus, kinetic      252
Foerster, W.      262
force      29
Forces, Central      77
Forces, centrifugal      41
Forces, external and molecular      32 37
Ford, L.R.      12
Form, differential      296
Forsyth, A.R.      358
Fouret, G.      130
Frank, P.      408
Freedom, degrees of      34
Frictional systems      227
Function, dissipation-      231
Function, Hamilton's characteristic      289
Function, Hamilton's principal      317
Function, Hamiltonian      265
Function, Jacobi's      342
Function-group      322
Galilei, G.      62 72 99 177
Gauss' principle      255
Gauss, C.F.      9 255
Gautier, A.      339
Gebbia, M.      174
Geodesics      254
Glaisher, J.W.L.      80
Gorjatscheff, D.      166
Goursat, E.      262 336
Grant, R.      339
Gravity      27
Green, G.      38
Grinwis, C.H.      89
Grossi, P.      330
Group, function-      322
Group-property      293
Gyration, ellipsoid of      124
Gyration, radius of      118
Gyroscopic terms      195
Hadamard's Theorem      406
Hadamard, J.      69 403
Halphen's theorem      5
Halphen, G.      5 106
Hamel, G.      41
Hamilton's partial differential equation      315
Hamilton's principle      246
Hamilton's Theorem      79
Hamiltonian form of equations of motion      264
Hamiltonian function      265
Hazzidakis, J.N.      102
Herpolhode      154
Hertz's principle      255
Hertz, H.      255
Heun, K.      37
Hill, G.W.      407
Hiltebeitel, A.M.      99
Hirsch, A.      45 287
Hoelder, O.      249
Holonomic      33
Homogeneous contact-transformations      301
Homography      12
Hoppe, R.      130
Husson, E.      166
Huygens, C.      62 72 99 117
Ignorable coordinates      54
Ignoration of coordinates      56
impact      234
Impulse      49
Impulsive motion      48
Index of stability      398
Inelastic bodies      234
Inertia, Ellipsoid of      124
Inertia, moment and product of      117
Inertia, principal axes of      124
Infinitesimal contact-transformations      292 302
Initial motions      45
Instability      186 193 203 .396
Instantaneous axis of rotation      2
Instantaneous centre of rotation      3
Integral of a dynamical system      53
Integral of a system of equations      53
Integral of angular momentum      59
Integral of energy      62
Integral of momentum      58
Integral, classical      358
Integral, Jacobian      354
Integral-invariants      268
Integral-invariants, absolute and relative      271
Invariable line and plane      144 346
Invariant relations      326
Invariants, integral      268
Inverse of a transformation      293
Involution      322
Involution-systems      322
Isoperimetrical systems      267
Jacobi's equation      342
Jacobi's function      342
Jacobi, C.G.J.      104 144 174 251 276 281 287 295 307 316 341 342 349 354
Jacobian integral      354
Jordan, C.      179
Joukovsky's theorem      107
Joukovsky, N.      111
Kasner, E.      409
Kepler, J.      60 90
Kerkhoven-Wythoff, A.G.      222
Kinematics      1
kinetic energy      35
Kinetic focus      252
Kinetic potential      38
Kineto-statics      37
Klein, F.      12 193 207
Kobb, G.      109
Koenigs and Lie's theorem      275
Koenigs, G.      1 88 275
Koetter, F.      166
Kolosoff, G.      167
Korkine, A.      337
Korteweg's theorem      397
Korteweg, D.      398 400
Kowalevski's top      164
Kowalevski, N.      166
Kowalevski, S.      164
Lagrange's bracket-expressions      298
Lagrange's equations      34
Lagrange's equations forquasi-coordinates      43
Lagrange's equations of impulsive motion      50
Lagrange's equations with undetermined multipliers      213
Lagrange's three particles      393
Lagrange, J.L.      34 38 41 50 62 91 94 97 104 156 177 183 248 264 298 316 322 340 393
Lagrangian function      39
Laisant, O.A.      113
Lamb, H.      203 305
Lambert's theorem      91
Lambert, J.H.      91
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