Lanzcos C. — The Variational Principles of Mechanics :: Электронная библиотека попечительского совета мехмата МГУ

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Lanzcos C. — The Variational Principles of Mechanics

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Название: The Variational Principles of Mechanics

Автор: Lanzcos C.

Аннотация:

Philosophic, less formalistic approach to analytical mechanics offers model of clear, scholarly exposition at graduate level with coverage of basics, calculus of variations, principle of virtual work, equations of motion, more.

Язык:

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 4th Edition

Год издания: 1986

Количество страниц: 418

Добавлена в каталог: 17.03.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

action      5
Action least      111f. 132
Action variables      247
Appell      110 300
Archimedes      293
Aristotle      292
Auxiliary conditions      43 48 62 141 146
Bar, clamped      70
Bar, jointed      80
bernoulli      35 99 136 270
Body, rigid      103
Bohr      240 301
Boltzmann      32
Born      301
Boundary condition      68f.
Boundary term      120
Brachistochrone      35
Burgers      243
Canonical equations      161
Canonical integral      168 192
Canonical transformations      193f.
Cartan      174
Catenary      81
Cauchy      167
Cayley      170
Centre of mass      103
Circulation      209
Configuration space      12 138
Conservation of energy      31 94 120f.
Conservative forces      30
Courant      68
Curvilinear coordinates      19 93
D'Alembert      76 88f. 111f. 295
D'Alembert, principle of      88f. 92
de Broglie      229 240 254 277 280
Degeneracy      152
Degree of freedom      10 126
delaunay      243f 279
Descartes      7 17
Dido      35 66
Differential, bilinear      212
Dirac      301
Displacement, reversible      74
Displacement, virtual      38
Duhring      291
Dynamics      92
Effective force      90
Einstein      17 20 21 91 96 99 103 132 185 253 280
Electron microscope      268
Energy theorem      119
Eoetvoes      102
Epstein      301
Equilibrium      78
Equilibrium, stability of      158
Euler      3 6 36 53f. 103 111 136 190 289 296
Euler — Lagrange principle      190
Euler — Lagrange, differential equation of      59 70 77 117
Euler, equations of      104
Extremum      42
Fermat      7 35
Fermat, principle of      135 271
Force apparent      96
Force generalized      27
Force of inertia      88
Foucault      102 275
FOURIER      51 86
Fresnel      278 289
Galileo      139 292
Gauss      18 106f 289 299
Geiger-Scheel      292
Generalized coordinates      6 60 116
Generating function      205 228 231
Geodesic      109
Geometrical solution      264 280f.
Gibbs      172
Griffith      90
Gyroscopic      122 200
Hamel      292
Hamilton      6 77 111 167 170 193 220 2221 229 255 277 291 297
Hamilton — Jacobi, differential equation of      224f. 276
Heisenberg      301
Helmholtz      180 230 300
Hero      35
Hertz      25 109 130f. 299 300
hilbert      51 68
Holonomic      24 85 92
Huygens, principle of      269 278 289
Ignorable variable      125
Inertia      88
Integral invariant      210
Invariance      19 115 197 201
Invariant      208 221

Isoperimetric      66
Ivinosthenic variable      125
jacobi      77 111 136 193 227 229 255 291 296
Jacobi, principle of      135 138f.
JORDAN      301
Kepler problem      242 248
Kinematical condition      11 23
kinetic energy      17 21 33 94
Koe nig      295
Lagrange      3 6 35 53f. 111 116 136 167 185 190 212 289 296
Lagrange bracket      213
Lagrange equations of      111
Lambda-method      43 49 68 83 144 188
Least action      92 132
legendre      108 161
Leibniz      36 294
Levi-Civita      240
Lie      201 216 230 300
Liouville      178
Liouville, theorem of      177
Lissajous figures      158 251
Lorentz      30
Mach      291
Mathieu      201f.
Maupertuis      136 289 295
Maxwell      278
Mayer      291
Minkowski      20 21 185
moment      72
Momentum      91 121
Monogenic      30 85
Multiplier      44 48 62 141
Newton      3 21 35 77 89 91 92 107 293
Non-holonomic      24 48 65 85 146
Nordheim      291
Ostrogradski      170
Phase fluid      172
Phase space      172 186
Poincare      180 230 300
poisson      22 299
Poisson bracket      215
Polygenic      30 85 92
Polygenic forces      146
potential energy      33 94
Principal axes      151
Principal function      224
Principle of d'Alembert      88f. 92
Principle of least action      111f.
Principle of least constraint      106
Rankine      294
Ray      268
Reaction      85
Resultant      79
Rheonomic      32 95 124 200 206
Riemann      20
Riemannian geometry      17 138f.
Rotation      78
Routh      300
Saddle point      37
Schroedinger      229 230 279 280 301
Scleronomic      31 95 121 200 206
Separable      240f.
Sommerfeld      253 280 300
STARK-effect      243 301
Statics      92
Stationary value      38
Stevinus      292
Stokes theorem      209
Synge      90
System reference      96
System rotating      100
Tensor      19
Thomson      131 300
Top      92
Transformation canonical      192
Transformation coordinate      194
Transformation point      195
Translation      78
Variables kinematic      92
Variables passive      165
Variation first      39
Variation second      40
Variations calculus of      35f.
Varignon      293
Vibrations      147
Victorial mechanics      5f.
Vinci da      139
Virtual displacement      38
Virtual work      74 87 89
Whittaker      196 201
Wilson      253 280 301
work function      27
Zeeman-effect      243 252

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