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| Авторизация |
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| Поиск по указателям |
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| Davis H. F., Snider A. D. — Introduction to Vector Analysis |
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| Предметный указатель |
Scalar product 22 220 248
Scalar product, in general coordinates 220 248
Scalar product, related to differential forms 201
Scalar product, triple 38—41 201 248
Scalar, relative 266
Scalar, tensor definition 235
Scale factor 190 241
Screw sense 30 207 244
Simply-connected domain 121
Speed 3 63
Spherical coordinates 188
Stokes’ Theorem 166 183 209
Stokes’ theorem, generalized 209
Stokes’ theorem, heuristic proof 166
Stokes’ theorem, proof 183
Stress 226
Strip, Mobius 140
Substitution tensor 46
Sum, forces 12
Sum, matrices 211
Sum, vectors 3 4
Sum, vectors, motivation for 12
Summation convention 47 253
Surface integrals 147—156
Surface, bounded 139
Surface, closed 140
Surface, equipotential 79
Surface, isobaric 79
Surface, isotimic 79
Surface, normal to 81 139 142
Surface, oriented 139
Surface, parametric equations 141
Surface, piecewise smooth 139
Surface, smooth 134
Swirl 97
Symbols, Christoffel 250
Tangent to a curve 57—59 63
Temperature 83 148
Tensor 220
Tensor, alternating 227
Tensor, components 220
Tensor, contraction 253
Tensor, contravariant components 222
| Tensor, covariant components 222
Tensor, matrix representation 224
Tensor, metric 229 240 242
Tensor, metric, and Christoffel symbols 252
Tensor, mixed components 224 265
Tensor, notation 62 116 165
Tensor, stress 226
Tensor, symmetric 224 265
Tetrahedron, boundary 209
Tetrahedron, volume 41
Three-form 199
torque 32
Torsion 69
Transpose of a matrix 214
Triple scalar product 38 41 201 248
Triple scalar product, coordinate-free definition 248
Triple scalar product, related to differential forms 201
Triple scalar product, significance of sign 39
Triple vector products 42
Two-form 201
Unit vector (vector of length one) 7
Unit vector (vector of length one), maximum principle 22
Unit vector (vector of length one), normal to a surface 139 142
Unit vector (vector of length one), tangent to a curve 57—59 63
Vector see Field Position etc.
Vector potential 137
Vector product 31—37
Vector product, as a pseudovector 244
Vector product, in general coordinates 259
Vector product, related to differential forms 201
Vector product, triple 42
Velocity 2 54 63—73
Velocity field 86
Velocity, angular 13 36
Volume integrals 158 192
Volume of parallelepiped 39 267
Volume of tetrahedron 41
Volume, nonoriented 158
Volume, oriented 207 267
Volume, relative 259 268 270
Wedge multiplication 199
Work 24
Work, as a line lintegral 117
Zero-form 198
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