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Weatherburn C. — Advanced Vector Analysis
Weatherburn C. — Advanced Vector Analysis

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Название: Advanced Vector Analysis

Автор: Weatherburn C.

Язык: en

Рубрика: Математика/Анализ/Тензорный анализ, формы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1949

Количество страниц: 222

Добавлена в каталог: 23.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abraham      128
Acceleration      34
Activity of forces      78
Acyclic region      44
Addition of velocities      133
Antecedent      53
Anti-self-conjugate      61 62
Bernoulli’s theorem      43
Betti’s reciprocal theorem      chapter VIII exercise
Binet’s theorem      76
boundary conditions      31 36 114
bulk modulus      chapter VIII exercise
Cauchy’s stress quadrics      94
Centre of percussion      82
Characteristic numbers      32
Circuital theorem      117
Circulation      38 50
Components of strain      91
Condensation      47
Conduction of heat      29—32
Conductivity      29
Conjugate diameters      70
Conjugate diameters, dyadics      54 61
Consequent      53
Conservative system of forces      37
Continuity, equation of      35 43 101
Continuous distributions      23 27 105
Coulomb’s theorem      113
Curl      7 12
Current, density      119
Current, electric      116—23
Current, total      124
Curvilinear coordinates      11 12 18
Dalembertian      126
Determinant of a dyadic      65
Diametral plane      70
dielectric constant      112
Dielectrics, theory of      112
Differentiation of dyadics      84
Differentiation of vectors      1
Diffusivity      30
Dilation      89 90 chapter exercise
Directional derivative      2 3 4 6
Displacement current      124
Divergence      7 12
Divergence, Theorem      14
Double products      chapter VII. exercise
Doublet      46
Dyad, differentiation of      84
Dyad, dyadic      63
Einstein      129 130 133
Electro-magnetic equations      125 135—136
Electro-magnetic equations, potentials      126
Electro-magnetic equations, stress and momentum      128
Ellipsoid of gyration      75
Ellipsoid of strain      88 90
Ellipsoid of stress      94
Ellipsoid, momental      75 77
Elongation      88
Energy, electric      115 118 127
Energy, kinetic      40 45 52 77 102
Equilibrium of a fluid      39
Ether current density      124
Euler’s equation of motion for a fluid      37 101
Expansion formulae      8 85
Extension      88 91
Filament, vortex      49
Flow, line of      38
Flux, magnetic      118
Flux, thermal      29
Fourier’s law of heat conduction      29
Gauss’s theorem      14
Gauss’s theorem, integral      20
Gradient      3 12
Green’s theorem and formulae      19 20
Green’s theorem and formulae, functions      21
Gyration, ellipsoid of      75
Harmonic functions      19 28
Helmholtz’s theorems      26 51
Herpolhode      79
Heterogeneous strain      90
Homogeneous strain      88 89
Hooke’s law      95
HOT      see “Curl”
Idemfactor      59
Impulsive forcea      42 81
Indeterminate product      55
Individual rate of change      34
Inductance, mutual      118 121
Induction, electric      112
Induction, magnetic      110
Inertia, dyadic      72 73 74
Inertia, momonts and products of      72 73
Integral equation      32
Intensity, of force      22 104
Intensity, of magnetisation      108
Invariable piano      79
Invariants of a dyadic      65
Irrotational motion      43—47
Isothermal      2 29
Isotropic bodies      95—97
Kelvin      45 50
Kernel      32
kinetic energy      40 45 52 77 102
Lagrange’s hydrodynamical equations      chapter VII. exercise
Lamellar function      17 20
Lame’s stross ellipsoid      94
Laminar motion      100
Laplace’s operator      9 12 120
Level-surface      2
Light, velocity      130
Line integral      13 86
Lino of flow      38
Lino of force      105
Local rato of change      34
Lorontz      125 129 130
MacCullagh      80
Magnetic flux      118
Magnetic flux, moment      106
Magnetic flux, shell      111
Magnetisation, intensity of      108
Magnetism      106—111
Maxwell      124 125 128
Micholson ami Morley      130
Molecular rotation      38
Moment of inertia      72 73
Moment of magnet      100
Momental ellipsoid      75 77
Mutual inductance      118 121
Neumann      121
Newton      129
Newtonian potential      22—28
Nonion form      55 74
Normal derivative      3
Normal derivative, intensity      24 105 112
Oersted      116
Open product      55
Parallel axes, theorem of      73
Partial derivatives      1
Percussion, centre of      82
Permeability      110
Poinsot      79
Point-functions      2
Poisson’s equation      25
Poisson’s equation, ratio      chapter VIII. exercise
Poisson’s equation, theory of magnetisation      108
Polar piano      69
Polarisation      112
Polhode      79
Postfactor      54
Potential      22 25 28 104 105 126
Potential, of strain      90
Potential, of velocity      43
Potential, retarded      126
Poynting’s vector      127
Prefactor      54
Pressure at a point      33
Principal axes of inertia      74 70 78 chapter exercise
Principal axes of strain      88
Principal axes of stross      93 98
Principal pianos of stress      93 98
Principal point of a lino      chapter VI. exercise
Principal stresses      93 98
Product doublo      chapter VII. exercise
Product of dyadics      57
Product of inertia      72
Pure strain      88
Quadric surfaces      66—71 88 90 94
Radiant vector      127
Reciprocal dyadics      60
Reciprocal dyadics, quadrics      71
Reciprocal dyadics, strain ellipsoid      88 90
Relativity      129—130
Retarded potentials      120
Rigidity, simple      chapter VIII exercise
Rotation, molecular      38
Scalar of a dyadic      50
Self-conjugato dyadic      61 02 64
Shear, simple      89 chapter exercise
Shell, magnetic      111
Simple stratum      27
Simply connected region      44
Sink      46
slope      3
Solenoidal function      17 26
Solid angle      20
Sound propagation      47
Source      46
Specific inductive capacity      112
Steady motion      41
Stokes’s theorem      16
strain      88—91
Strain, ellipsoid      88 90
Strain, energy function      97
Strain, rate of      99
Stress      92—94
Stress, dyadic      92
Stress, electromagnetic      128
Stress, ellipsoid (Lame’s)      94
Stress-strain relations      95
Stretch-squeeze      chapter VIII. exercise
Stretcher      132
Surface density      27
Surface density, integrals      14 24 87 105 112
susceptibility      110
Synchronism      130
Tangency, condition of      68
Tangent cone      69
Tangent plane      67 68
Total current      124
Total normal intensity      24 105 112
Traction      see “Stress”
Transformation of integrals      13—17 19 86—87
Tube of force      105
Tube, vortex      49
Uniform functions      2
Vector of a dyadic      56
Vector potential      25 51 119 126
Velocity potential      43
viscosity      100
Viscous fluids      98—103
Vortex line      38 49
Vortex line, motion      48—52 103
Vortex line, tube and filament      49
Vorticity      38 48 99
Young’s modulus      chapter V1IL exercise
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