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Desloge E.A. Ч Classical Mechanics. Volume 1
Desloge E.A. Ч Classical Mechanics. Volume 1

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Ќазвание: Classical Mechanics. Volume 1

јвтор: Desloge E.A.

язык: en

–убрика: ћеханика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1982

 оличество страниц: 537

ƒобавлена в каталог: 16.03.2008

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Abelian group      950
Absolute derivative      926 Ч 927
Acceleration, in cylindrical coordinates      45
Acceleration, in moving frame      38
Acceleration, in spherical coordinates      45
Acceleration, of gravity      73 74
Acceleration, relative      27
Action and angle variables      807 Ч 814
Action and reaction, law of      60 66 216
Action at distance      56
AmontonТs law of friction      75
Angular frequency      160
Angular frequency, of driven oscillator      163
Angular impulse      127 129
Angular momentum, and arbitrary point      102 226
Angular momentum, and center of mass      227
Angular momentum, and torque      103 229
Angular momentum, axial component      271 Ч 272
Angular momentum, change due to impulse      127 129 130 338
Angular momentum, conservation      123 174 248 580 585 586 598
Angular momentum, definition      102 226
Angular momentum, of incident particle      191
Angular momentum, of rigid body      271 272 312
Angular momentum, Poisson bracket of components      830
Angular momentum, time rate of change      103 229
Angular Motion      176 Ч 177 600
Angular velocity      33 Ч 36
Angular velocity, definition and properties      33 Ч 38
Angular velocity, Euler angles      310 650
Anholonomic constraint      532
Anholonomic system, and Gibbs Ч Appell equations      722 Ч 725
Anholonomic system, definition      554
Aphelion      184
Apocentron      183
AppellТs equations of motion      722
AppellТs function      721
Apse      177 600
Apsidal angle      177 600
Apsidal distance      177 600
Apsidal radius      600
Apsis      177 600
Associative law      945
Automorphic group      948
Axial direction      269
Axis of rotation, instantaneous      36
Basis vectors      683
BertrandТs theorem      606 Ч 613
Bilinear form      928
Bound orbit      606 607
boundary conditions      435
Brachistochrone problem      979
Calculus of variations      968 Ч 980
Canonical transformation, and modified HamiltonТs principle      846 Ч 852
Canonical transformation, definition      755 Ч 756 762
Canonical transformation, inverse      761
Canonical transformation, Jacobian for      760 771 794
Canonical transformation, Lagrange bracket test      757
Canonical transformation, Poisson bracket test      826
Canonical transformation, product of two      761 Ч 762
Canonical transformation, properties      759 Ч 762
Canonical variables      773 Ч 774
Carrier space      955
Cartesian configuration space      240 Ч 241 349 514
Cartesian tensors      417 Ч 425
Cartesian vector quantity      421
Cartesian vectors      420 Ч 421 424
Center of mass, acceleration      67 217
Center of mass, coordinates      205 624 632
Center of mass, definition      66
Center of mass, determination      67
Center of mass, motion      67 Ч 68 197 216 220 254 274 320 655
Center of mass, of rigid body      269
Center of mass, of two particles      196 622
Center of mass, position      217
Center of mass, properties      65 Ч 68
Center of mass, table of values      479 Ч 482
Center of mass, uniqueness      66
Center of mass, velocity      217 622
Central force      172 Ч 174
Central force motion, angular motion      176 Ч 177 600
Central force motion, circular      606 Ч 607
Central force motion, for two-particle system      198
Central force motion, fundamental equations      175 598
Central force motion, Hamilton Ч Jacobi treatment      803 Ч 804
Central force motion, Lagrangian treatment      597 Ч 602
Central force motion, Newtonian treatment      172 Ч 184
Central force motion, orbit in      175 599
Central force motion, radial motion in      176 599
Central force motion, stability of circular orbit in      184
Central force motion, symmetry of orbit      600
Centrifugal force      138
Character table      689 Ч 690
Character, of matrix group element      961
Character, of operator      961
Character, of representations      961 Ч 963
Characteristic equation      931
Christoffel symbols      926
Circular motion in central force field      606 Ч 607
Class of element in group      950 960 962
clocks      9
Closed orbit      607
Closed systems      215
Closure law      945
Coefficient of kinetic friction      76
Coefficient of restitution      131 339
Coefficient of static friction      75
Collision, change in energy in      204 623
Collision, definition      49 Ч 50 203 622 875
Collision, description      203 622
Collision, elastic      131 204 339 623
Collision, inelastic      131 339
Collision, of particle with surface      131 Ч 132
Collision, possible      50 876
Collision, properties      50 876
Collision, quantities conserved in      52 Ч 56 876-
Collision, rigid body      339
Collision, two-particle      203 Ч 209 622
Colonization of space      643
Column matrix      449
Column matrix representation of vector      683 953
complex numbers      437
Complex of group      949
Compression period      131 339
Configuration of harmonic system      684
Configuration of system      241 513
Configuration space, basis vectors in      683
Configuration space, Cartesian      240 Ч 241 349 514
Configuration space, decomposition, by group theory      688
Configuration space, definition      241 514
Configuration space, for holonomic system      539 682
Configuration space, modal directions in      683
Configuration space, vector in      682 Ч 683
Conjugate elements in group      950
Conservation      see also Constants of motion
Conservation, of angular momentum      123 174 248 580 585 586 598
Conservation, of energy      123 174 249 598 888
Conservation, of four-momentum      897
Conservation, of linear momentum      57 122 248 578 883
Conservation, of mass      57
Conservative force field      114 Ч 115 244
Conserved quantities      50 Ч 58 876 Constants
Constants      see Constants of motion
Constants of motion      see also Conservation Conserved
Constants of motion, and symmetry      578 Ч 584
Constants of motion, definition      120 247 575
Constants of motion, generalized coordinate as      740
Constants of motion, generalized momentum as      577 Ч 578 585 740
Constants of motion, Hamiltonian as      576 Ч 577 585 739 829
Constants of motion, importance      122 247
Constants of motion, in central force motion      174
Constants of motion, in Hamiltonian formulation      390 739-
Constants of motion, in Lagrangian formulation      364 Ч 365 575
Constants of motion, in Poisson formulation      829
Constants of motion, in restricted three-body problem      638
Constants of motion, number of independent      120 Ч 121 247 575
Constants, in solution of differential equation      433 Ч 434
Constants, table      477
Constraint      349 528
Constraint forces, anholonomic: definition      532
Constraint forces, definition      349 528
Constraint forces, determination      549 Ч 550 555
Constraint forces, generalized components      532 Ч 534 541
Constraint forces, geometric      529
Constraint forces, holonomic, definition      349 Ч 351 531
Constraint forces, ideal      529 Ч 531
Constraint forces, kinematic      529
Contact, perfectly rough      76
Contact, perfectly smooth      76
Contraction of tensor      422
Contravariant vector      923
Conversion factors, table      478 Ч 479
Coordinate transformations      470 Ч 474
Coordinates, center of mass      205 624 632
Coordinates, generalized      352 Ч 353 514 539
Coordinates, laboratory      205 624 632
Coordinates, orthogonal curvilinear      43 Ч 46 427
Coordinates, relative      205 624 632
Coriolis force      138
Coset      949
Couple      256 Ч 257
Coupled oscillators      676 (see also Vibrating systems)
Covariant derivative      927
Covariant vector      923
Cross product      425
Cross section, differential scattering      see Differential scattering cross section
Cross section, hard sphere      192 Ч 193 619
Cross section, inverse square      193 619
Cross section, total scattering      187 Ч 188 614 628
Curl      408 Ч 409 414 416 425
Curvilinear coordinates, orthogonal, equations of motion in      144 Ч 145
Curvilinear coordinates, orthogonal, properties      43 Ч 46 427
Cyclic coordinate      577 747
Cyclic group      948 950
Cyclic system      808
Cylindrical coordinates, definition and properties      44 Ч 45 429
Cylindrical coordinates, dТAlambertТs principle      56
Cylindrical coordinates, equations of motion in      144
Cylindrical coordinates, relation to rotating frame      45
Damped harmonic oscillator      160 Ч 162
Decay modulus      161
decrement      161
Degeneracy      686 Ч 687
Degrees of freedom      352 534
Del operator      409
Derivative, absolute      926 Ч 927
Descartes, Rene      12
Determinant      452 Ч 454 930
Diagonalization of matrices      935 Ч 936
Differential equations, linear      436 Ч 440
Differential equations, ordinary      432 Ч 435
Differential scattering cross section, center of mass      207 Ч 208 627 631
Differential scattering cross section, definition      188 Ч 189 615
Differential scattering cross section, determination      190 Ч 192 617
Differential scattering cross section, hard sphere      192 Ч 193 619
Differential scattering cross section, inverse square      193 619
Differential scattering cross section, transformation between lab and center of mass      208 Ч 209 629
Differential, exact      442 Ч 446
Differentiation, covariant      927
Differentiation, of integral      441
Differentiation, of tensor      424
Differentiation, partial      398 Ч 400
Dimension, irreducible      960
Dimension, of representation      955
Disk, rolling      534 Ч 536 556
Displacement, virtual      349 354 515 540 712
Dissipation function      560 Ч 561
Distance, shortest      978
Divergence      408 Ч 409 414 416 424
Dot product      403 424 425
Driven harmonic oscillator      162 Ч 168
Dynamical state      120
Dynamical system      65 215
Dynamics problems, method of solution      88
Dynamics, aim of      122
Effective potential      176 179 181 326 599
Eigencolumn      931
Eigenvalues of matrix      931 Ч 934
Einstein, Albert      12
Elastic collision      339
Electromagnetic field, generalized potential      561
Elementary system      521
Ellipsoid, of inertia      291
Ellipsoid, Poinsot      330
Elliptic functions      330 467
Energey, and momentum      888 Ч 889
Energy, and work      107 Ч 108 234 888
Energy, conservation      123 174 249 598 888
Energy, dissipation      164
Energy, kinetic      see Kinetic energy
Energy, of acceleration      721
Energy, potential      888; see Potential energy relativistic
Equations of motion, Equations of motion, Gibbs Ч Appell      720 Ч 725 727
Equations of motion, EulerТs      322 656 719 730
Equations of motion, for two-particle system      197
Equations of motion, Hamiltonian type      744 Ч 747
Equations of motion, HamiltonТs      see HamiltonТs equations of motion
Equations of motion, in configuration space      241
Equations of motion, LagrangeТs equations of motion, NewtonТs      see NewtonТs equation
Equations of motion, of motion in non-inertial frames      136
Equations of motion, of rigid body      274 321
Equations of motion, PoissonТs      828 Ч 830
Equations of motion, relativistic      885 901 903
Equations of motion, RouthТs      746 Ч 749
Equilibrium points      638
Equimomental systems      323
Equivalence of matrices      928
Equivalent systems of forces      255 258
Escape speed      182 Ч 183
Euclidean set of coordinate systems      417
Euclidean transformation      473
Euler angles      303 Ч 307 649
Euler equation      972 Ч 974
EulerТs equations of motion      322 656 719 730
EulerТs theorem      914
Exact differentials      442 Ч 446
Extended point transformation      750 Ч 751 759
External forces      78 215
f function      763
Fictitious forces      137 Ч 138
Field      113 243 408 409 424
Fixed plane, definition      269
Force, action at distance      61 78
Force, active      528
Force, and linear momentum      218 Ч 220
Force, central      172 Ч 174
Force, classification      61
Force, components, generalized      see Generalized components of force
Force, conservative      114 244
Force, contact      61 78
Force, coplanar      260
Force, definition      59 65 885
Force, derivable from generalized potential      559
Force, determination      77
Force, electromagnetic      61
Force, equivalent      77 255
Force, external      65 215 219
Force, fictitious      137 Ч 138
Force, field      113 243
Force, generalized components      see Generalized components of force
Force, given      528
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