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| Rektorys K. — Survey of applicable mathematics |
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| Предметный указатель |
Revolution, surfaces of 257-9
Rhombus, formulae for geometrical elements 135
Ricatti differential equation 747-8
Riemann - Schwarz reflection principle 983
Riemann and Lebesgue integration, distinction between 596
Riemann and Lebesgue theorem 712
Riemann integration 550
Riemann surface 966
Riemann Theorem 975-6
Riemann zeta function 672
Riesz - Fischer theorem 1013
Right conoid 354
Right helicoid 311
Right parallelepiped, moment of inertia of 143
Right parallelepiped, volume and surface area of 143
Rings, associative, commutative, division 85-86
Rings, solid volume, surface area and moment of inertia of 149
Risk, producer's and consumer's 1280
Ritz in conformal mapping 986-7
Ritz iteration method 1152-4
Robertson's law of growth 202-3
Rolle's theorem 425
Root-mean-square 47
Roots of algebraic equations 58 1168
Roots of algebraic equations, Budan - Fourier theorem 1171
Roots of algebraic equations, connection with eigenvalues of matrices 1171-2
Roots of algebraic equations, Descartes theorem 1170
Roots of algebraic equations, Lagrange, Maclaurin, Tillot inequalities 1169
Roots of algebraic equations, Sturm theorem 1171
Rotation, cartesian coordinate system 236
Rounding off 1268
Ruled surfaces 259-62 354 358
Ruled surfaces, undevelopable 354
Ruling lines 259
Runge - Kutta formulae 1075-6
Runge method 715
Rytz construction of axes of ellipse 156
Saddle point 752
Sampling, average (mean) 1265
Sampling, characteristics 1264
Sampling, coefficient of correlation 1266
Sampling, coefficient of regression 1266
Sampling, coefficient of variation 1266 1279
Sampling, covariance 1265
Sampling, frequency tables 1266-8
Sampling, graphical representation 1273
Sampling, histogram 1270
Sampling, Inspection 1280-1
Sampling, standard deviation 1265
Sampling, unbiassed 1277
Sampling, variance 1265
Sampling, weighted average, weighted variance 1267
Sarrus's rule 69-70
Scalar (inner) product of functions 694
Scalar (inner) product of vectors 266
Scalar fields, gradient of 270
Scalar on a surface 290
Scalar potential vector field 271
Scales 1183-7
Scales, absolute accuracy, absolute error 1186-7
Scales, basic uniform (regular) 1184
Scales, mapping equation 1184
Scales, modulus 1184
Scales, number axis 1184
Scales, relative accuracy 1187
Scales, uniform, quadratic, logarithmic, sine 1186
Schmidt orthogonalization process 701-2
Schwarz (or Schwarz - Cauchy) inequality 394
Schwarz constants and quotients 1091
Screw surface 354
SCROLL 354 359
Second curvature 316
Second mean value theorem 554
Second order derivatives 417 446
Sector and segment of a circle, geometrical formulae 137-8
Sector of an annulus, geometrical formulae 139
Self-adjoint expressions and operators 802 914 1014
Self-adjoint problems, eigenvalue 805 816 915
Self-tangency, point of 329
Semi-axis, polar coordinates 216
Semi-closed (semi-open) interval 397
Semiconvergent series 689
Semicubical parabola 164-5
Semilogarithmic paper 1188
Sentences 39-40
Separation of variables 739 1098
Sequences, bounded above or below 377
Sequences, Cauchy 999
Sequences, convergent 375 666 998
Sequences, decreasing 379
Sequences, divergent 375
Sequences, fundamental 999
Sequences, important formulae and limits 380-1
Sequences, increasing 379
Sequences, monotonic 379
Sequences, of constant terms 374-81
Sequences, of equicontinuous functions 668
Sequences, of uniformly bounded functions 667
Sequences, oscillating 382
Sequences, subsequences of 377
Sequences, with variable terms, integration and differentiation of 668-9
Sequences, with variable terms, uniformly convergent 666
Series, applications of 687-90
Series, convergent and divergent 382 953-4
Series, divergent, application of 688-90
Series, domain of convergence 954
Series, expansions into series 683-6
Series, harmonic 382
Series, in 2 or more variables 680 712
Series, power series 674 955
Series, power series, radius of convergence 955
Series, tables 393-5 683-6
Series, with variable terms, condition of convergence 671-3
Series, with variable terms, differentiation 673
Series, with variable terms, integration 672-3
Series, with variable terms, survey of important formulae 690-1
Series, with variable terms, uniformly convergent 671
Serret - Frenet formulae 308-9
Sets, bounded 996
Sets, closed 996
Sets, compact 1000
Sets, concepts of 82-85 994-1019
Sets, connected 995
Sets, convex 995
Sets, countable 907
Sets, dense 999
Sets, harmonic of four points 229
Sets, mapping of, definitions 84
Sets, measurable 595
Sets, metric spaces 997
Sets, open and closed 994-7
Sets, point of accumulation (cluster point, limit point) 994
Sets, regions 995-6
Sets, spaces 997-1019
Several variables, functions of 440-85
Several variables, functions of, composite functions, limit, continuity 440-4
Several variables, functions of, extremes 476-84
Several variables, functions of, introduction of new variables 470-6
Several variables, functions of, partial derivatives of 445
Several variables, functions of, survey of important formulae 484-5
Several variables, functions of, transformations 470-6
Sheaf of planes 241
Shells, problems in theory of 913
Significance tests,  -test 1275
Significance tests, 2 2 contingency table 1275-6
Significance tests, approximate, based on normal distribution 1276
Significance tests, confidence interval 1274 1277
Significance tests, critical values 1273
Significance tests, degrees of freedom 1274
Significance tests, difference in relative frequencies 1275
| Significance tests, estimated variance 1274
Significance tests, null hypothesis 1273
Significance tests, Student's  -test 1273
Signs and notation 27-37
Similar matrices 97
Simple epicycloid or hypocycloid 163
Simple function in a region  943
simple harmonic motion 194
Simpson's rule for definite integrals 593-4
Sine and cosine, integrals containing 529-39
Sine curves 193-4
Sine integral 488 588
Sine paper 1188
Sine Theorem 117
Singular conic sections 227
Singular integral equations 933
Singular integral or solution 737 871
Singular points of curve 299 326-30
Singular points of curve, of differential equation 751
Singular points of curve, of functions of a complex variable 960
Singular points of curve, of surface 344
Skeleton collinear nomogram 1204-6
Skew curve 301
Skew field 86
Skew lines, distance between 2 245-6
Skew surface 354 359
Skew symmetric matrices 89
Skew symmetric tensors 294
Slope of a straight line 208
Small numbers, computation with 436-8
Smooth curve 299 417 603
Smooth curve, function 417
Smooth curve, surface 344
Sobotka's rectification of a circular arc 152
Solenoidal (sourceless) vector field 272
Solid analytic geometry, coordinate systems 233-7
Solid analytic geometry, cylindrical (semi-polar) 234
Solid analytic geometry, linear concepts 237-47
Solid analytic geometry, rectangular 233-4
Solid analytic geometry, spherical (polar) 234-5
Solids, integral calculus, applications of 653
Solids, volumes, surfaces, centroids and moments of inertia 142-9
Solution of ordinary differential equation 731-2 737
Solution of ordinary differential equation, by approximate methods 1065-97
Soreau's equation 1195
Sp the's theorem 773
Space(s) 997-1019
Space(s),  998
Space(s),  996
Space(s),  997
Space(s),  998
Space(s), Banach 1003-4
Space(s), complementary subspace 1004
Space(s), complete, separable, compact 999-1001
Space(s), curve, definition 301
Space(s), Euclidean 996
Space(s), Hilbert 1003-5
Space(s), ideal elements 1000
Space(s), linear 1001
Space(s), linear metric, linear normed 1002
Space(s), linear, manifold 1002
Space(s), Metric 997
Space(s), normed 1002
Space(s), operators, additive and homogeneous 1009 1011
Space(s), operators, adjoint 1012 1014
Space(s), operators, bounded, in Hilbert space 1013-6
Space(s), operators, characteristic value, characteristic vector 1015
Space(s), operators, continuous linear 1009
Space(s), operators, eigenvalue, eigenvector 1015
Space(s), operators, functionals 1007-8
Space(s), operators, linear and other 1007-13
Space(s), operators, norm of 1010
Space(s), operators, positive, positive definite 1018
Space(s), operators, real 998
Space(s), operators, self-adjoint 1014
Space(s), operators, spectrum of 1015
Space(s), operators, spectrum of, pure point 1016
Space(s), operators, symmetric 1018
Space(s), operators, unbounded, in Hilbert space 1016-9
Space(s), operators, vector 1001-2
Special Cauchy problem 860-1
Spectrum of an operator 1015
Spectrum of an operator, pure point 1016
Sphere, equation of 247
Sphere, geometrical formulae 147-8
Sphere, homeomorphic image of a 997
Sphere, sector of a 147
Sphere, segment of a 148
Sphere, volume, surface area, moment of inertia 147-8
Spherical coordinate surfaces 235
Spherical coordinates in solid analytic geometry 234-5
Spherical coordinates transformations of differential equations and expressions 470-6
Spherical coordinates transformations of vectors and corresponding operators 274
Spherical functions 722
Spherical harmonics 725-7
Spherical layer 148
Spherical Legendre functions 722
Spherical ring 148
Spherical surface interior diameter 638
Spherical triangle, area 121
Spherical triangle, definition 120
Spherical triangle, Euler 120-1
Spherical triangle, fundamental properties 121
Spherical triangle, general (oblique) 123-4
Spherical triangle, right-angled 122
Spherical trigonometry 120-4
Spheroid, prolate and oblate 148
spirals 174-9
Spirals, Archimedes 174-6
Spirals, hyperbolic or reciprocal 176
Spirals, logarithmic, equiangular or logistic 177-9
Sportka, Czech lottery 1247
Spring constant 194
Square integrable functions 598 691
Standard deviation 1251 1265 1279
Standard errors, estimates of 1306-7
Standard integrals 487-8
Star of planes 242
Starting point of a vector 264
Statical moment, integral calculus for curves in space 649
Statical moment, integral calculus for plane curves 647-8
Statical moment, integral calculus for plane figures 652
Statical moment, solids 656
Statical moment, surfaces 659-60
Stationary heat-conduction equation 1102-3
Stationary points of a function 431
Statistics see Mathematical statistics
Step of argument, step of table 1225
Stereographic projection 938-9
Stieltjes integral 599
Stirling formula 588
Stirling formula, interpolation formula 1232-3
Stokes theorem 277 643
Straight line equations 208-12 243
Straight line equations, Directed (oriented) 212-5
Straight line equations, examples and theorems 209-12
Straight line equations, general, vector and parametric forms 208 243
Straight line equations, gradient and intercept 208
Straight line equations, intersection of 2 lines 210-1
Straight line equations, normal equation 215-6
Straight line equations, pencil of lines 211
Straight line equations, reduced 243
Straight line equations, through 2 given points 210 244
Straight lines, angle between 212 240
Straight lines, bisectors of angle between 215-6
Straight lines, condition for being parallel or perpendicular to a plane 246 247
Straight lines, conditions for 2
Straight lines, directed (oriented) 212
Straight lines, distance of a point from 216 245-6
Straight lines, forming conic sections 227
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