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| Courant R., Hilbert D. — Methods of Mathematical Physics. Volume 1 |
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| Предметный указатель |
String, impulsive excitation of 389
String, non-homogeneous 291
String, plucked 388
Sturm — Liouville problem 291—295
Sturm — Liouville problem, asymptotic behavior of eigenvalues of 414
Sturm — Liouville problem, asymptotic behavior of solutions of 331—339
Sturm — Liouville problem, eigenvalue problem for 402
Sturm — Liouville problem, singular case 324
Sturm — Liouville problem, zeros of eigenfunctions of 468
Subsidiary conditions for variational problems 216
Summation formula of Poisson 76
Superposition, principle of 276
Sylvester 518
Symmetric integral equations, Enskog's method for 156
Symmetric kernels, definition of 115
Symmetric kernels, eigenfunctions of 126—132 148—150
Symmetric kernels, eigenvalues of 122—134 148—150
Symmetric kernels, expansion theorem for 134 136
Symmetric kernels, resolvents of 142
Symmetrizable kernels 161
Synchronism 309
Synchronous vibrations 286
Tchebycheff functions 507—508
Tchebycheff polynomials 88—90 328
Tensors 7
Tensors, Green's 393—394
Thales, theorem of 255
Theta function, applications of 381—384 388
Theta function, functional equation for 75
Thomson's principle 267
Three-dimensional continua, vibrations of 313
Tone, fundamental 286
Transformation(s) of Euler 467
Transformation(s) of quadratic forms to principal axes 23—31 37—41
Transformation(s) of variational problems 231—242
Transformation(s), Bessel 490—492
Transformation(s), integral 112
Transformation(s), linear 1—47
Transformation(s), linear, infinitesimal 41—12
Transformation(s), orthogonal 14—16
Transformation(s), unitary 16
Transforms, integral 113
| Transposed integral equation 116
Transversality 211
Transversality for multiple integrals 266
Unitary matrix 11
Unitary matrix, spectrum of a 46
Unitary transformations 16
Unsymmetric kernels, adjoint orthogonal systems for 159
Variation of a function 184
Variation, first 186
Variation, second 214
Variational derivative 186
Variational principle of Hamilton 242
Variational problems with subsidiary conditions 216
Variational problems with variable domains 260
Variational problems without a solution 173
Variational problems, canonical form of 238
Variational problems, constraints on 233
Variational problems, direct solution of 174—183
Variational problems, invariant 262
Variational problems, involutory transformation of 233
Variational problems, multiplier rule for 222
Variational problems, reciprocal 235 252—257 270
Variational problems, transformations of 231—12
Variations, calculus of 164—274
Vectors 1—5
Vertex condition of Weierstrass and Erdmann 260
Vibrating membrane see "Membrane"
Vibrating plate see "Plate"
Vibrating rod see "Rod"
Vibrating string see "String"
Vibration problems of mathematical physics 275 396
Vibrations, forced 285 389—390
Vibrations, free 282—283
Vibrations, small 244
Volterra integral equations 158 337—339
Wave front 214
Weierstrass — Erdmann vertex condition 260
Weierstrass's approximation theorem 65
Weierstrass's theorem on extrema 20 164
Weight function 87
Zeros of Bessel functions 451 492—496
Zeros of eigenfunctions 451—455
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