Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Synge J. L. — Tensor Calculus
Synge J. L. — Tensor Calculus

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Tensor Calculus

Автор: Synge J. L.

Аннотация:

Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, special types of space, relative tensors, ideas of volume, more.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1978

Количество страниц: 324

Добавлена в каталог: 18.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Absolute, derivative      49 250 283 311 Absolute tensor
Acceleration      149 153 170
Action metric      177
Affine connection      292
Amorphous space      282
angle      34 36
Angular, momentum      156 Angular velocity
Antipodal space      116
Antisymmetry      15
Bernoulli's integral      202
Bianchi identity      87
Bipolar coordinates      79
Body force      200
Cartesian, coordinates      142 Cartesian tensor
cell      253
Centrifugal force      167
Christoffel symbols      41
Coefficients of connection      287
Comoving time-derivative      191
Compatibility equations      236
Completely applicable      179
components      9 144
Compressed notation      20
Configuration      4
Configuration-space      168
conformal      299
Conjugate metric tensor      31
Connection, coefficients      287
Connection, double      291 Connection linear
Connection, semi-symmetric      308 Connection single
Conservation of mass      195
Continuity equation      196
Contraction      17 88 295
Contraction-invariant connection      291
Contravariant, tensor      11 Contravariant vector
coordinates      3 Coordinates bipolar
Coordinates, geodesic      292 Coordinates geodesic
Coplanar vectors      94 317
Coriolis force      167
Covariant, derivative      51 251 287 311 Covariant tensor
Curl      135 246
Curvature      81 294 Curvature constant
Curvature, Gaussian      96 Curvature geodesic
Curvature, invariant      89 Curvature of curve
Curvature, tensor      83 85 294
Curve      5
Curved space      82
Curvilinear coordinates      26
D'Alembert's principle      159
density      192 241
Derivative, absolute      49 250 283 311 Derivative covariant
Determinant of metric tensor      30
Dilatation      211
Dimension of space      4
Displacement, infinitesimal      9 Displacement null
Distance      28 Distance geodesic
Divergence      57 134 193
Double connection      291
Dual tensors      246
Dummies      7
Dynamics, general system      168
Dynamics, particle      149 Dynamics rigid
Einstein      142 Einstein tensor
Elasticity      202 Elasticity tensor
Electromagnetic radiation      213
Elliptic space      116
Energy      177
Equilibrium of continuous medium      208
Euler equations, calculus of variations      40 Euler equations rigid
Eulerian method      191
Event      126
Excess of angle sum      96
expansion      194 211
Extension, of cell      253 255 Extension strain
Finzi      237
First curvature      73
First integral      45
Flat space      82 118 295 Flat projectively
force      150 171
Frame of reference      162
Frenet formulae      74
frequency      219
Fundamental, form      27 29 Fundamental tensor
future      126
Gauge, invariance      298 Gauge transformation
Gauss      27 96
Gauss' theorem      193
Gaussian curvature      96
Geodesic      37 Geodesic circle
Geometrical, object      10 Geometrical optics
Green's theorem      193 275
Hamilton's, equation      217 Hamilton's principle
Hertz vector      223
Hertzian oscillator      238
Homeomorphic      179
Homogeneous coordinates      119
Hooke's law      209
Hydrodynamics      190
Hyperspace      4
Hypersurface      5
indefinite      29
Indicator      29
Infinitesimal displacement      9
Inner product      17
Instantaneous axis      159
Integral, multiple      258 316
Invariant      12 Invariant curvature
Irrotational flow      199
Isotropic, medium      210 Isotropic point
Jacobian      6 240
Kinematical metric      169
kinetic energy      151 168
Kronecker delta      8 Kronecker delta generalized
Lagrangian, equations      151 174
Lagrangian, method      191
Lame's constant      212
Laplacian      58
Least action      177
Length      29
Levi-Civita      142
Line dement      27
Linear connection      287
Lines of force      174
Local Cartesians      58
Lorentz transformation      140 231
Lowering suffixes      31
Magnitude of vector      33
Manifold      4
Maxwell's equations      214 228 230
Metric, action      177 Metric form
Metric, kinematical      169 Metric tensor
Mixed tensor      13
Moebius strip      261
Moment, of force      156 Moment of
Motion, continuous medium      208
Motion, Newtonian law      150 Motion perfect
Multiple integral      257 316
Negative transformation      121 249
Neuber      237
Newton's law of motion      150
Non-Riemannian space      282
Normal coordinates      62
Normal vector      63 265
Null, cone      125 Null displacement
Null, geodesic      46
One-sided region      261
Order of tensor      11
Orientation of cell      260
Oriented, region      261 Oriented tensor
Ortho-invariant connection      290
Orthogonal, coordinates      71 145
Orthogonal, trajectories      63 Orthogonal trajectory
Orthogonality      36
Outer product      17
Papcovich      237
Parallel propagation      49 99 288
Parallelogram      292
Parametric line      70
PAST      126
Path      289
Perfect fluid      199
Period      219
Permutation symbol      131 243 249 250
Perpendicularity      36
Phase wave      218
Physical components      144
Plane waves      222
Point      3
Poisson's ratio      212
Polar space      116
Polarization      221
Positive transformation      121 249
Positive-definite      29
Potential, electromagnetic      223 239
Potential, energy      152
PRESENT      126
Pressure      199
Product, inner      17 Product outer
Projective, connection      309 Projective curvature
Proper transformation      121
Raising suffixes      31
Range convention      7
Reconcilable curves      100
Relative, invariant      198 Relative tensor
Relativity, general theory      231
Relativity, special theory      125 155 231
Ricci      142 Ricci principal directions
Ricci tensor      88 295
Riemann      28
Riemannian, coordinates      59 Riemannian curvature
Rigid body      156
Rigidity      212
Scalar product      134
Schroedinger      279
Schur's theorem      112
Semi-symmetric connection      308
Signature      314
Single connection      291
Skew-symmetry      15
Space      4 Space amorphous
Space, non-Riemannian      282 Space of constant curvature
Space-time      125 229
Special theory of relativity      125
Sphere      123
Spherical, polar coordinates      54
Spherical, space      116
Stokes' theorem      267 Stokes' theorem generalized
Straight line      123
strain      202 205
Stream line      235
Stress      202 208
Subinvariant      67
subspace      5 253
Subtensor      67
SubVector      67
Summation convention      7
surface      5
Sylvester's theorem      314
Symmetric connection      292
Symmetry      15
Tangent vector      10
Tensor, absolute      198 241 Tensor Cartesian
Tensor, covariant      13 Tensor curvature
Tensor, dual      246 Tensor Einstein
Tensor, fundamental or metric      26 28 31
Tensor, mixed      13 Tensor order
Tensor, oriented      130 249 Tensor relative
Tests for tensors      18
Thomas      309
topology      116 124 179
Torsion      73
Transformation of Christoffel symbols      48 Transformation of coordinates
Transformation, gauge      298 Transformation Lorentz
Transformation, positive or proper      121 249 Transformation projective
Transitivity      14 241
Translation      157
Two dimensions      89
Two-sided region      261
Unit first normal      73
Unit normal      266
Unit tangent vector      34 72
Unoriented region      261
Variety      4
Vector      9 Vector contravariant
Velocity      147 153 169 Velocity
Volume      262
Vortex line      235
Vorticity      196 197
Wave equation      215
Wave-length      219
Weight      240
Weyl space      297
Young's modulus      212
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2019
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте