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| Rektorys K. — Survey of applicable mathematics |
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| Предметный указатель |
Strophoid 189
Student's  -test 1273
Sturm - Liouville problem 806
Sturm's theorem 772 1171
Subnormal 162 339
Subsequences 377
Subset 83
Substantially singular point 347
Subtangent 162 339
Success, in Bernoulli experiment 1246-7
Successive approximations, solving differential equations 1067-9
Successive approximations, solving differential equations, integral equations 1137
Summabilities of series 674
Supercritical damping 197
Superosculating circle 325
Superosculating curve 322
Supremum (l.u.b.) 43
Surface(s), conical 262
Surface(s), contravariant and covariant vector, on 290
Surface(s), cuspidal edge 354
Surface(s), definition 247
Surface(s), differential calculus, applications to 657-61
Surface(s), discriminant 362
Surface(s), edge of regression 354
Surface(s), element of area 362
Surface(s), elliptic point of 363
Surface(s), envelope of 1-parameter family 356
Surface(s), equipotential 271
Surface(s), explicit equation of 344
Surface(s), finite piecewise smooth 343-4
Surface(s), first fundamental form 291 360-2
Surface(s), fundamental coefficients 362
Surface(s), Gaussian curvature 368
Surface(s), generator of 355 358
Surface(s), hyperbolic point of 363
Surface(s), integrals 638-45
Surface(s), integrals, of first and second kinds 639-40
Surface(s), interior diameter 638
Surface(s), lines of curvature 369
Surface(s), mean curvature 368
Surface(s), non-developable 354
Surface(s), normal curvature 366
Surface(s), normal section radius of curvature 366
Surface(s), of revolution 257
Surface(s), oriented 638
Surface(s), orthogonal conjugate net on 369
Surface(s), parabolic point of 363
Surface(s), parameters and parametric equations 344
Surface(s), regular points on 247
Surface(s), ruled 259
Surface(s), scalar on 290
Surface(s), scroll (skew surface) 354
Surface(s), second fundamental form 363-4
Surface(s), second order 247-57
Surface(s), shape with respect to tangent plane 363-4
Surface(s), simple finite piecewise smooth 604-5
Surface(s), singular points on 247
Surface(s), tensor on 287-92
Sylvester's law of inertia 105
Symbols  ,  414
Symmetric kernels of integral equations 816
Symmetric matrices 89
Symmetric operators 1018 1045
Symmetric problems 805
Systematic errors 1316
Tabular inaccuracy 1228 1243
Tabulation of 2-
Tangent and cotangent, integrals, containing 539 41
Tangent(s), developable (surface) 354
Tangent(s), direction, angle and length, in polar coordinates 338-9
Tangent(s), drawn to a curve from an arbitrary point 341
Tangent(s), length, in polar coordinates 339
Tangent(s), plane of a surface 349
Tangent(s), plane to a curve 310
Tangent(s), surface 354
Tangent(s), theorem 117
Tangent(s), to a conic 229-232
Tangent(s), vector field 287
Tangent(s), vector of a curve 270 304
Tangential vector of a surface 349
Taylor's formula 434
Taylor's formula, for polynomial 61
Taylor's series 681-2 957-8
Taylor's theorem 434 439
Taylor's theorem, generalization for several variables 452-4
Temperature distribution, example using Laplace transform 1129-30
Tensor(s), alternating 294
Tensor(s), calculus 280-96
Tensor(s), characteristic numbers of 296
Tensor(s), conjugate directions 295
Tensor(s), contravariant and covariant 285
Tensor(s), contravariant and covariant on a surface 287
Tensor(s), deformation 287 294
Tensor(s), first fundamental of a surface 290
Tensor(s), in space 284-7
Tensor(s), indicatrix of a point 295
Tensor(s), indices, lowering and raising of 293
Tensor(s), metric, of a space 285
Tensor(s), metric, of a surface 290
Tensor(s), on a surface 287-92
Tensor(s), quadratic 285
Tensor(s), second fundamental, of a surface 291
Tensor(s), symmetric and skew-symmetric 293-4
Tensor(s), symmetric quadratic 292-7
Term-by-term differentiation 669 673 955
Term-by-term differentiation, integration 668 672 955
Theoretical regression function and curve 1287
Tillot inequality 1169
To be perpendicular or parallel 213-4 246-7
Total differential 447-50
Tractrix 185
Trajectories to solutions of differential equations 761-2
Transcendent curve 301
Transcendental branch point of logarithmic function 967
Transcendental equations, numerical solution of 1168-82
Transcendental functions 402 488 541-8
Transcendental real numbers 43
Transformation matrix of coordinate systems 281
Transformations affine 227-9
Transformations congruent of cartesian coordinates in a plane 224-5
Transformations mapping 84 455-8
Transformations of differential expressions into polar, cylindrical and spherical coordinates 472-6
Transformations projective in a plane 228-9
transforms see Integral transforms
Transient oscillations 200
Translation, cartesian coordinate system 236
Transparency used in nomography 1210-3
Transparency used in nomography, positional contacts 1210
Transparency used in nomography, symbolic key (structural formula) 1211
Transparency used in nomography, transformation formulae 1212
Transversality conditions of variational problem 1039
Transverse vibrations of a rod, differential equations 853-4
Trapezoidal rule for definite integrals 593
| Trefftz method for boundary value problems 1056-8
Triangle(s), area of 207
Triangle(s), centroid of 238
Triangle(s), formulae for geometrical elements of 133-4
Triangle(s), general (scalene) 116
Triangle(s), general (scalene), formulae for determining 117-20
Triangle(s), general (scalene), fundamental and further relations 117-8
Triangle(s), general (scalene), solution 118-20
Triangle(s), geometrical formulae 133-4
Triangle(s), inequality 46 48
Triangle(s), spherical 120
Trigonometric equations 115-6
Trigonometric Fourier series 702-20
Trigonometric functions, addition formulae 112-3
Trigonometric functions, behaviour of 109
Trigonometric functions, definitions of 108-9
Trigonometric functions, difference of 114
Trigonometric functions, expansions into series 684-5
Trigonometric functions, half-angle formulae 112-3
Trigonometric functions, higher powers of 114
Trigonometric functions, inverse 124-8
Trigonometric functions, multiple-angle formulae 112-3
Trigonometric functions, of same angle, relations among 109-113
Trigonometric functions, powers of 114
Trigonometric functions, product of 114
Trigonometric functions, relations between 130
Trigonometric functions, signs in individual quadrants 110
Trigonometric functions, sum of 114-5
Trigonometric functions, values for some special angles 111
Trigonometry, plane 116-20
Trigonometry, spherical 120-4
Triple integrals 618-22
Triple integrals, improper 623-8
Triple integrals, method of substitution for 621
Triple scalar product of three vectors 268
Trochoid 165
Tube, volume and moment of inertia 146
Twisted curve 301
Ultrahyperbolic equation 883
Umbilic, umbilical point 368-9
Undamped forced vibrations, differential equations 843
Undamped oscillations, forced, curves of 195-6
Undamped oscillations, free, curves of 194-5
Undetermined coefficients, Lagrange's method of 480-1
Uniform convergence, sequences with variable terms 666 954
Uniform convergence, series with variable terms 671 954
Uniformly bounded sequence 667-8
Uniformly convergent integral 574-5
Union of sets 83
Uniqueness of solution of problems in ordinary differential equations 731-8
Uniqueness of solution of problems in partial differential equations 887 904 906 910
Unit (tangent) vector of a curve 270 304
Univalent (simple) function in a region O 943
Unsubstantially singular point of a curve, or surface 299 347
Upper integral of Darboux sums 550
Van der Pol's equation 1097
variable functions 1239-42
Variables 712-3
Variables, Functions of 2 or more 440-85
Variables, separation for solving differential equation 739 41
Variance 1279
Variation coefficient 1266
Variation coefficient, of parameters 780
Variational (direct) methods 1045-64
Variational (direct) methods, for eigenvalue problems in ordinary differential equations 1090-3
Variational (direct) methods, in conformal mapping 986-9
Vector equation of a straight line 243
Vector(s) field 269
Vector(s) field, divergence and curl 272-6
Vector(s) field, irrotational 273
Vector(s) field, solenoidal (sourceless) 272
Vector(s),  -component (-coordinate) 62
Vector(s), -dimensional 62
Vector(s), absolute value 265
Vector(s), algebra 62-63 263-9
Vector(s), analysis 269-79
Vector(s), circulation along closed curve 276
Vector(s), collinear (parallel) and coplanar 265
Vector(s), complex 62
Vector(s), components, coordinates of 62 263
Vector(s), conformably collinear (parallel) 265-6
Vector(s), contravariant and covariant 280-5
Vector(s), cross product 267
Vector(s), curvilinear and surface integrals 276-9
Vector(s), derivative 269
Vector(s), direction angles, direction cosines 266
Vector(s), dot product of 266
Vector(s), flux of 278
Vector(s), in 3-dimensional 206
Vector(s), in algebra 62-63
Vector(s), in three-dimensional space 263
Vector(s), inner product 266
Vector(s), laws 62 264
Vector(s), length or magnitude 206 265
Vector(s), linearly dependent or independent 62-63
Vector(s), magnitude, norm, modulus 265
Vector(s), mixed product 268
Vector(s), non-coplanar in space 281
Vector(s), notation for Stokes, Gauss and Green theorems 277-9
Vector(s), of acceleration, components of 314
Vector(s), on a surface 289-92
Vector(s), outer product 267
Vector(s), principal normal (unit) 270
Vector(s), product 264 267
Vector(s), rank of a system of 63
Vector(s), real 62
Vector(s), scalar product of 266
Vector(s), signs and notation 30-31
Vector(s), space 1001-3
Vector(s), triple product 268
Vector(s), vector product 267
Vector(s), zero or null 62 263
Vibrating string equation 1098-1102
Virtual cone 254
Virtual quadric 256
Virtual sphere 247
Void set 83
Volterra integral equations 934-6
Volumes, formulae 142-9 653-7
Wallis's product 381 396
Wave equation 901-7
Weakly nonlinear oscillator 1095-7
Weierstrass M-test 671-2 954
Weierstrass theorem 408 954-5
Weight function 697
Weighted average, weighted variance 1267
Weingarten, fundamental equation for surfaces 371
Well posed problems 866
Work done by force moving along a given curve 661
Wronskian determinant 776-7
Z-nomogram 1201
Zero divisors 86
Zero vector 63 263
Zeta function 672
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