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McQuistan R.B. — Scalar and Vector Fields: a Physical Interpretation
McQuistan R.B. — Scalar and Vector Fields: a Physical Interpretation



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Название: Scalar and Vector Fields: a Physical Interpretation

Автор: McQuistan R.B.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1965

Количество страниц: 318

Добавлена в каталог: 31.10.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Acceleration, centripetal      53
Acceleration, tangential      53
Acceleration, vector      50 125
Acylic regions      62
Addition, vector      24
Algebra, vector      24—44
Ampere's law      307
Angle, of contingence      51
Angle, plane      75
Angle, solid      75
Angular, displacement      5 119
Angular, momentum      55
Angular, velocity      6 37
arc, regular      61
Area element      7 61
Associative law, of addition      27
Axial vector      6
B-field      252
Barrier      63
Binormal plane      53
Biot — Savart law      252
boundary conditions      275ff
Boundedness      20 274
Calculus, vector      45—77
Cartesian coordinates      78ff
centripetal acceleration      53
Chord      48
Circulation      173ff
Closed surface      8
Commutative law, of addition      27
Complete set      131
Component      28 33
Composition, law of      3
Concentration      193
Conservative field      257
Continuity      20ff
Contour lines      13 144
Convective derivative      288
Coordinate systems      78ff 232
Coordinate systems, three-dimensional      82ff
Coordinate systems, two-dimensional      79ff
Coriolis, theorem of      126
Coulomb gauge      296
Cross product      34
Curl, operator      173ff 191
Curl, operator in orthogonal systems      234ff
Curvilinear coordinate, systems      221
d'Alembert’s equations      296
Derivative of a vector      46
Derivative, convective      288
Derivative, directional      139
Derivative, operator      191
Derivative, partial      58 139
Differentiable      20
Differential      58
Differential field operators      189ff
Differentiation, of a vector      45
Differentiation, partial      58 139
Dipoles      278
Dirac delta function      282
Direction      2
Directional derivative      139 191
Dirichlet condition      281 284
Discontinuity      275
Distributive law      30 35
Divergence, operator      161 190 232
Divergence, Theorem      216
Dot product      30
Double layer      278
Eigenfunction      127ff
Eigenvalue      127ff
electric field      102 222 239
Electrodynamic potential      307
Electromagnetism      1
Electrostatic potential      194 248
Element of area      7
Element of length      6
Element of volume      85
Equality of vectors      24
Euler’s hydrodynamic equation      288
Faraday’s law      307
Field, conservative      257
Field, discontinuities      20 275ff
Field, electromagnetic      305
Field, gravitational      241
Field, harmonic      225
Field, integral properties of      199ff
Field, inverse square      241
Field, irrotational      154ff 245ff
Field, lines      18 94
Field, operators      189 196 227
Field, potentials      239ff 264ff
Field, representation      78
Field, scalar      1 10
Field, solenoidal      255
Field, time-dependent      286ff
Field, vector      15ff
Fixed vectors      8
Flow lines      18
Flux      161
Flux lines      18
Frame of reference      24 123
Free vector      8 9
Function space      127ff
Gauge invariance      260
Gauge transformation      260 308
Gauss’s divergence theorem      213 265
Gauss’s law      216
Generation      167
Gradient of a Scalar Field      135ff
Gradient, operator      190 231
Gravitational, fields      241
Gravitational, potentials      248
Green’s functions      281
Green’s Theorem      223 265
Harmonic fields      225
Helmholtz’s theorem      261
Improper integrals      274
Infinitesimal displacements      78 227
Inhomogeneous wave equation      296 309
Integral transformations      299
Integral transformations, surface-to-line      199
Integral transformations, volume-to-surface      213
Integration, vector      56
Intensity      18
Invariant form      1
Irrotational fields      154 245 256
Isothermal surfaces      14 147
KirchhofTs solution      302
Kronecker delta      128
Laplace equation      249 264
Laplacian      192 195 235
Line integration      59 65
Line scalar source density      223
Line vector source density      278
Linear independence      132
Linearity      20 22
Lorentz condition      308
Maclaurin series      192
Magnetic field      306
Magnetic induction      252
Magnetic vector potential      255
Magnitude      2 18
Mass flow rate      167
Matrix formulation of field transforms      111
Moment of force      38
Moment of momentum      55
Momentum, angular      55
Momentum, linear      55
Multiplication      28—42
Multiplication of a vector by a scalar      29
Multiplication, cross or vector      34
Multiplication, dot or scalar      30
Multiplication, scalar triple product      39
Multiplication, vector triple product      41
Multiply connected regions      62
Multivalued functions      21
Neumann conditions      281 284
Newton’s Second Law      56 288
Ohmic medium      310
Open surface      8
Operators, differential      189 227
Orthogonal coordinate systems      33 116 227
Orthogonal sets of functions      127
Osculating plane      51
Partial differentiation      58 139
Permittivity      248
Piecewise smooth      61
Plane angle      75
Point functions      10
Polar coordinates      80ff
Position vector      7 123 194
Potentials      239 248
Potentials, electrodynamic      307
Potentials, electromagnetic      305
Potentials, harmonic      225
Potentials, retarded      292
Potentials, scalar      256
Potentials, vector      257
Pseudoscalars      2
Pseudovectors      6
Quadratic integrability      131
Radial direction      81ff
Radial vector field      95
Radius of curvature      51
Rectangular coordinates      79ff
Rectifiable curve      60
Reference line      79
Reference plane      82 85
Regular arc      61
Regular surface element      62
Resolution      27
Resultant      25
Retarded potentials      292
Right-hand rule      35
Right-hand screw      5 6 8
Right-handed coordinate system      82ff 116
Rotating observer      125
Scalar, fields      10
Scalar, function      63
Scalar, multiplication      30
Scalar, potentials      256
Scalar, quantities      2
Scalar, source density      247
Scalar, surface souce density      296
Scalar, Triple product      39
Scalar, variable      45
Sense      2
Simply or singly connected region      62
Single valued      20 21
sinks      161 173
Sliding vectors      8 9
Smoothness      60
Solenoidal fields      257
Solid angles      75
sources      161 173
Space curve      6
Spherical coordinates      89
Stokes’s theorem      199
Stream lines      18
Substraction, vector      24
Surface, closed      8
Surface, element      7
Surface, integration      59 71
Surface, open      8
Tangent      49
Tangential, acceleration      53
Tangential, normal system      53
Tangential, vectors      51
Tangential, velocity      49
Taylor expansion      168 182
Temperature field      10 194
Three-dimensional coordinate systems      82
Time-dependent fields and potentials      286
torque      38 55
Transformation of coordinates      78ff
Transformation of integrals      199ff
Transformation, gauge      266
Transformation, parameter      229
Two-dimensional coordinate systems      79
Uniform continuity      21
Unit vector      33
Vector field of transformations      111
Vector field, general      261
Vector field, irrotational      154
Vector field, representation      93ff
Vector field, solenoidal      257
Vector field, time-dependent      286
Vector field, transformation      103ff
Vector, addition      24
Vector, algebra      24—44
Vector, axial      6
Vector, determinant form      39
Vector, division      42
Vector, fixed      8 10
Vector, free      8 9
Vector, multiplication      34
Vector, point      8 10
Vector, polar      6
Vector, position      7
Vector, potential      251ff
Vector, quantities      3
Vector, sliding      8 9
Vector, source density      252
Vector, sources      251
Vector, space      127ff
Vector, tangential      51
Vector, triple product      41
Vector, unit      33
Vector, zero      29
Velocity, angular      6 124
Velocity, linear      49 124
Velocity, space      287
Volume, charge density      248 306
Volume, integration      59 76
Volume, mass density      245
Volume, vector source density      252 264
Volumetric flow rate      74
Vortex Motion      183
Wave equation      296 310
Work      32 68 247
Zero vector      29
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