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Rutherford D.E. - Vector methods. Applied to differential geometry, mechanics, and potential theory
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Название: Vector methods. Applied to differential geometry, mechanics, and potential theoryАвтор: Rutherford D.E. Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1959Количество страниц: 142Добавлена в каталог: 21.10.2012Операции: Положить на полку |
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Предметный указатель
Acceleration, components of 37 49 50 Angular velocity 47 Asymtotic lines, directions 33 Axis of dipole 89 Axis of magnet 83 Bernoulli's equation 106 Bessel's equation, functions 121 Binormal 18 Boscovitch's hypothesis 45 58 boundary conditions 114 117 119 Canonical equations 23 Central Axis 42 Centrifugal force 50 Circulation 108 components 3 Conduction of heat 117 Conductor 97 Conservation of energy 57 130 131 Conservation of momentum 129 Conservative field 56 Continuity equation 105 Coordinates, curvilinear 26 Coordinates, cylindrical 72 121 Coordinates, orthogonal 70 Coordinates, spherical 72 118 Coriolis force 50 Coulomb's law 83 100 Couple 40 Curl 63 124 Current 97 Curvature, average; Gaussian 31 Curvature, line of 30 Curvature, principal radius of 30 Curvature, radius of 21 Curvature, spherical 21 Curves, geometry of 16 Curvilinear integral 61 Dielectric 97 Dielectric, constant 99 Dipole 84 89 Dipole, distributions 90 91 Dipole, two-dimensional 92 Direction cosines 4 Displacement 99 distribution, 92 Distribution, due to a given, potential 114 Distribution, potential due to a given 88 Divergence 66 124 Doublet 84 d'Alembert's principle 58 Electromagnetic equations 126 Electrostatic problem 116 Elliptical points 33 Energy, conservation of 57 130 131 Energy, kinetic 45 54 Energy, potential 56 Equipotential surfaces 93 Euler's equations 52 Euler's hydrodynamical equations 105 Euler's theorem 33 Field of force 55 Field, line; tube 80 Field, vector 61 Fourier series 117 Frenet's formulae 19 Fundamental quadratic forms 28 134 Fundamental quadratic forms, Gauss's law 82 Gauss's theorem 74 Gradient 60 124 Gravitation, Newton's law of 83 Gravitational field 82 Green's reciprocal theorem 76 Green's Theorem 75 Heat, conduction of 117 Helix 23 Hyperbolic points 33 Insulator 97 Intensity 83 98 Intrinsic equations 22 Irrotational field 65 Kepler's second law 49 Laplace's equation 85 111 Laplace's equation, special solutions of 117-120 Legendre's equation, functions 118 Length of a vector 1 Line of curvature 30 Line, equation of a 11 Line, integral 61 Localised vector 38 Lorentz equations 126 Lorsntz transformation 129 Magnetic, particle 83 Magnetic, shell 91 Mass, centre 42 Mass, relative, rest 130 Meusnier's theorem 30 Moment of a couple 40 Moment of a magnet 83 Moment of a vector 38 Moment of inertia 51-54 Moment of momentum 44 45 51 54 Momentum 37 44 Momentum, conservation of 129 Momentum, moment of 44 45 51 54 Motion, equations of 37 46 52 Natural equations 22 Newton's law of gravitation 83 Newton's laws of 37 43 Newton's laws of motion 37 43 Newton's laws of, Moving axes 47-52 Newton's laws of, Moving trihedral 19 Operator, ' 60 68 69 Operator, '\square' 124 Orthocentric tetrahedron 13 Osculating plane 17 Parabolic points 33 Paraboloid of revolution 34 Parallelogram law 1 37 Parametric lines 26 Pitch 42 Plane, equation of a 12 Poinsot's central axis 42 Poisson's equation 85 Polarisation 98 Position vector 11 Potential 78 Potential of a conductor 97 Potential, due to a dipole 89 Potential, due to a magnetic shell 91 Potential, due to a source 88 Potential, due to a vortex filament 108 Potential, due to special distributions 88-92 Potential, electrostatic 79 Potential, evaluation of 116-120 Potential, gravitational 79 Potential, magnetic 79 Potential, properties of 113 Potential, vector 96 Potential, velocity 79 Principal, axes 54 Principal, directions 30 Principal, normal 18 Products of inertia 51-54 Products of vectors 5-9 123 124 Relative mass 130 Relativity 126 129 Rest mass 130 Resultant 2 Scalar, product 5 123 Sink 81 Solenoidal 68 Source 81 Source, distributions 84 88 Source, strength 82 Source, two-dimensional 92 Stationary field 80 Steady field 80 Stokes's theorem 74 Stream lines 80 102 Strength of a source 82 Strength of a tube 81 Sum of vectors 2 Surface, distributions 85 89 Surface, integral 65 Surfaces, geometry of 26 Tangent 17 Tangent, piano 27 Torsion 20 Triple products 8 9 Uniqueness theorem 112 Unit, binormal 19 Unit, line 81 Unit, principal normal 19 Unit, tangent 17 Unit, tube 81 Vector 1 Vector, field 61 Vector, localised 38 Vector, potential 96 Vector, product 6 124 Velocity, components of. 37 49 Velocity, potential 79 Velocity, vector 61 79 82 102 Virtual work 55 Volume distributions 84 88 90 Vortex lines 102 Vorticity 62 102 107 Wave equation 120 Work 55 World vector 123 Wrench 42 Zero vector 1
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