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| Weatherburn C. — Advanced Vector Analysis |
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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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