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Shorter L.R. — Problems And Worked Solutions In Vector Analysis
Shorter L.R. — Problems And Worked Solutions In Vector Analysis

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Название: Problems And Worked Solutions In Vector Analysis

Автор: Shorter L.R.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Количество страниц: 356

Добавлена в каталог: 19.11.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Acceleration of a moving point      279
Acceleration of a moving point in uniform circular motion      260
Angle between two vectors      98
Angular and radial acceleration of a moving point      263
Angular and radial acceleration of a moving point, momentum, equations of      317
Axial vectors      113
Binormal      269
Central forces      323
Centre of mass, or centroid      22 25
Commutative law, in addition      3 4
Commutative law, in multiplication      99
Coordinate systems      14
Curl of a vector      218
Curvature      238
Curvature in a helix      270
Del applied scalarly twice in succession      232
Del applied to a moving rigid body      298
Del applied to a vector function      216
Del applied to the position vector      237
Del applied to the product of two point-functions      225
Del applied to the sum and difference of two point-functions      219
Del, a vector      218 219
Del, or $\nabla$      311 314
Determination of the direction of a vector      13
Differences of vectors      32
Distributive law in the multiplication of vectors      100 104
Divergence of a vector      217
Energy of a moving rigid system      307
Equation of cone      71
Equation of cylinder      90
Equation of ellipse      88
Equation of elliptical helix      90
Equation of sphere      160
Equation of tangent and osculating plane      266
Equations of a plane and a straight line      16 19 20 151 152 153 155 157
Equipotential surfaces      325
Equivalence of a line integral of a function and the surface integral of an allied function      334
Equivalence of the surface integral of a function and the volume integral of an allied function      326
Euler’s equations for a rigid body      312
Expansion of $\nabla^{2_\gamma m}$      281
Extension of the meaning of $a\times b$      112
Fluid flow      186
Gauss’s theorem      326
Geometrical verification of the formula expressing a triple vector product as the difference of two vectors      123
Gradient of a scalar function, or “grad”      see "Del.”
Gravitational attraction due to a mass M      283
Heat, theory of (Problem)      284
Hodograph      261 287
Impulses in a rigid system      320
Infinitely small vectors      30
Line integral      296
Linear momentum Equations of      317
Linear vector functions      319
Minimum couple      193 303
Momental ellipsoid      307
Osculating plane      239
Partial differential coefficients      215
Planet’s motion      289
Polar vectors      113
Position vector      12 237
Problem in force and work      185
Problem in force and work, on gravitational attraction      282
Problem on the locus of a moving point      155
Products, scalar and vector, of two axial vectors      127
Projection of parallelogram on the coordinate planes      111 119
Properties of circles      145 150
Properties of ellipses      150 265
Properties of parallelograms      46 47 141 142
Properties of quadrilaterals      144 145
Properties of triangles      47 58—71 143 146—148
Pseudo-scalars      118
Radius of curvature      238
Reciprocal vector      107
Refraction of light      188
Relative velocity and acceleration      27
Resolution of scalar products of vectors      109
Resolution of vector products of vectors      110
Resolution of vectors      8
Rigid body and minimum couple      193 303
Rigid body system, energy of      307
Rigid body, body and Euler’s equations      312
Rigid body, dynamical equations of      190
Rigid body, kinematics of      290 298
Scalar product of an axial and a polar vector      116
Stokes’s theorem      334
Tortuosity      238 207 270
Transformation of coordinates involving “ Del”      254
Unit vector      8
Unit vectors, products of      107
Vector addition      2
Vector differentiation      197 199 202
Vector differentiation of products      206
Vector differentiation of unit vector      208
Vector division      130
Vector flow      284 337
Vector flow through moving surface      339
Vector identities      231 247—252
Vector multiplication (scalar)      95
Vector multiplication (vector)      96
Vector point-function      28
Vector product of polar and axial      120
Vector, definition of      1
Vectorial signs      6
Volume of pyramid      179
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