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| Авторизация |
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| Поиск по указателям |
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| Rektorys K. — Survey of applicable mathematics |
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| Предметный указатель |
Circumferences, formulae for plane figures 133 42
Cissoid of Diocles 187 8
Clairaut differential equation 758
Clairaut generalized equation 873
Clark's canonical form 1197
Clark's canonical form, transformation of nomographic order 1197
Classifying of data 1268
Clausen's transformation 391
Closed curve 299
Closed interval 397
Closed region, closed circle 440 996
Clothoid 179
Cluster point 994
Codazzi fundamental equations for surfaces 371
Cofactor in a determinant 68
Collineation nomograms 1195-210
Collineation nomograms, anamorphosis, conditions of 1196
Collineation nomograms, skeleton 1204
Combinations, definition and theorems 56
Common logarithms 53
Commutative groups and rings 85-6
Commutative law governing vectors 264 267
Comparison function of eigenvalue problem 804 915
Comparison test for convergence of series 384
Comparison theorem 772 809
Complementary subspace 1004
Complete induction 40-41
Complete induction, sequence 1007
complex numbers 47-49
Complex numbers, absolute value (modulus) of 48
Complex numbers, closed (completed, extended) plane of 938
Complex numbers, conjugates of 48
Complex numbers, principal value of the argument 49
Complex numbers, trigonometric form 48-49
Complex variable, applications of the theory of functions 943
Complex variable, Cauchy integral theorem and formula 946-8
Complex variable, derivative 938-43
Complex variable, Functions of a 938-70
Complex variable, fundamental concepts 938-43
Complex variable, integrals of 943-8
Complex variable, limit and continuity 940
Complex variable, logarithm and power 965-70
Complex variable, signs and notation 35
Composite functions 399 441
Composite functions, differentiation 420 450-2
Composite functions, limit 410-1
Computation, with small numbers 436-8
Concavity and convexity 429
Conchoid of a circle 191
Conchoid of Nicomedes 190-1
Conditional probability 1248
Cone volume, surface areas, moment of inertia 146-7
Cone, right circular 146
Cone, right circular, frustum of, and its centroid 146-7
Cone, virtual 254
Conformal mapping 971-93
Conformal mapping, "adjacent" regions 981-2
Conformal mapping, boundary properties 985-6
Conformal mapping, boundary-correspondence principle 981
Conformal mapping, concept of 971
Conformal mapping, existence and uniqueness 975
Conformal mapping, extremal properties 985
Conformal mapping, homographic 971
Conformal mapping, methods of performing 978-85
Conformal mapping, methods of performing, by integral equations 989-91
Conformal mapping, methods of performing, examples 979-81
Conformal mapping, methods of performing, small parameter 991
Conformal mapping, methods of performing, variational 986-9
Conformal mapping, Riemann - Schwarz reflection principle 983
Conformal mapping, Riemann's theorem 975
Conformal mapping, upper half-plane on a polygon 992-3
Conformally collinear (parallel) vectors 265-6
Congruent matrices 102
Congruent matrices, Hermitian 106
Congruent transformation of cartesian coordinates in a plane 224-5
Conic section(s), axes of 231
Conic section(s), conjugate diameters 231
Conic section(s), conjugate direction of parallel chords 230
Conic section(s), discriminant of 226
Conic section(s), general equation of a 226
Conic section(s), polar of a point with respect to 230
Conic section(s), pole of a line with respect to 230
Conic section(s), singular and regular (non-singular) 227
Conic section(s), tangents to 231-2
Conical surfaces 259
Conicoids 247-257
Conjugate diameters of circle 151
Conjugate diameters of conic section 231
Conjugate gradients method 1158-60
Conoids 261-2
Conservative vector field 271
Constant strength catenary 185
Constrained extremes 479
Consumer's risk 1280
Continuity 404 442
Continuity, Cauchy's and Heine's definitions 404-5
Continuity, right- and left-hand 405
Continuity, sectional or piecewise 407 443
Continuous dependence of solution on initial and boundary conditions and on parameters 770 826 866
Continuous extensibility on the boundary 443 951
Contraction mapping 1008
Contraction of tensors 293
Contravariant and covariant tensor on a surface 289
Contravariant and covariant tensors 285
Contravariant and covariant vector coordinates 280 282
Contravariant and covariant vector on. a surface 287
Contravariant and covariant vectors 285
Control of production processes by attributes 1282
Control of production processes by variables 1282-3
Control of production processes, chart 1282
Convergence of improper integrals 560 565 623
Convergence of sequences and series 374 381 666 670
Convergence of sequences and series, absolute 383 389
Convergence of sequences and series, Bolzano - Cauchy condition 375 562 567 666 671
Convergence of sequences and series, Clausen's transformation 391
Convergence of sequences and series, conditional 383
Convergence of sequences and series, domain of 954
Convergence of sequences and series, improvement of 390
Convergence of sequences and series, in the mean 693 998-9
Convergence of sequences and series, radius of 675 955
Convergence of sequences and series, tests for 384-388
Convergence of sequences and series, uniform 666 671 954
Convexity 429
Coordinate systems 205 233
Coplanar vectors 265-6
Correctness of boundary value problems 866
Correlation coefficient 1266
Correlation coefficient, table 1270
Correspondence between 2 sets 84
Cosine integrals 488 532-5
Cosine theorem for plane triangle 117
Cosine theorem for spherical Euler triangle 123
Courant's maximum-minimum principle 809
Covariance and correlation coefficient 1258
Cramer's rule 74
Critical damping 197
Cross product of vectors 267
Cross ratio of four points 227-8
Cube, volume and surface of 143
Cubic equations 77-9
Cubic equations, solution, algebraic 78
Cubic equations, solution, by factorization 78
Cubic equations, solution, trigonometrical 78-79
Cubic, discriminating, of a quadric 256
Cubical parabola 164
Curl of a vector 273
Curtate and prolate 167
Curtate cycloid 167
Curtate epicycloid 169
Curtate involute of a circle 173
| Curvature 315-6 364
Curvature, Gaussian 368
Curvature, geodesic 372-3
Curvature, normal 366
Curve(s), approximate constructions of 203-4
Curve(s), canonical equations (representation) of 317
Curve(s), closed 602
Curve(s), contact of 319-26
Curve(s), cyclic 165-74
Curve(s), definitions and equations 298-301
Curve(s), directrix 259-60
Curve(s), double points of 299
Curve(s), equation as locus of a point 207-8
Curve(s), equation of tangent to a 305
Curve(s), evolutes and involutes of 335-8
Curve(s), exponential 181-3
Curve(s), first and second curvatures 309 315-9
Curve(s), fitting to empirical data 1285-1301
Curve(s), fitting to empirical data, linear regression equations, numerical examples 1291-9
Curve(s), gradient on a surface 373
Curve(s), growth 200-4
Curve(s), in space 298 301
Curve(s), in space, implicit equations defining 300-1
Curve(s), in space, integral calculus 649
Curve(s), intrinsic equations of 318
Curve(s), Jordan 603
Curve(s), length of 303 647 649
Curve(s), length of arc, linear element 303
Curve(s), logistic 202
Curve(s), natural equations of 318
Curve(s), of  -th class 1020-1
Curve(s), of greatest slope on a surface 373
Curve(s), of oscillations 194-6
Curve(s), on surfaces 347-55
Curve(s), oriented in the sense of increasing parameter 628
Curve(s), osculating circle 323
Curve(s), parallel 334-5
Curve(s), parametric equations 299
Curve(s), piecewise smooth 298 602
Curve(s), Plane 150-204
Curve(s), positively oriented with respect to its interior 628
Curve(s), power 163-5
Curve(s), scaleholder 1185
Curve(s), simple finite piecewise smooth 602-4
Curve(s), simple finite piecewise smooth, positively oriented 628
Curve(s), simplicity of 632
Curve(s), smooth 299 417 603
Curvilinear coordinates of a point on a surface 346
Curvilinear integrals 628-37
Curvilinear integrals, along a curve in space 633
Curvilinear integrals, geometric and physical meanings 632-3
Curvilinear integrals, of first and second kinds 630
Cusp of a curve 329
Cuspidal edge 354
Cyclic curves 165-74
Cyclic curves, construction of centres of curvature 174
Cycloids 165-8
Cylinder, hollow (tube) 146
Cylinder, hyperbolic, parabolic, real and virtual elliptic, canonical and transformed equations 255
Cylinder, right circular 145
Cylinder, right circular, of given volume having least surface 433
Cylinder, segment of 145
Cylinder, truncated 145
Cylinder, volume, surface areas, moment of inertia 144-6
Cylindrical coordinates in solid analytical geometry 234
Cylindrical coordinates transformations of differential equations and expressions into 470
Cylindrical functions 716
Cylindrical helices 335
D'Alembert formula 902
D'Alembert ratio test for convergence of a series 385
Damped oscillations, forced, curves of 199-200
Damped oscillations, free, curves of 196-8
Damped vibrations, differential equation 844
Danilevski method 1164-7
Darboux sums 550-1
De Moivre's formula and theorem 49
De Morgan's formulae 84
Definite integrals 550 605 618
Definite integrals, approximate evaluation 592-5
Definite integrals, Cauchy - Riemann definition 551
Definite integrals, Chebyshev's formula 594-5
Definite integrals, rectangular rule 592-3
Definite integrals, Simpson's rule 593-4
Definite integrals, substitution 558 615 621
Definite integrals, table 579-84
Definite integrals, trapezoidal rale 593
Deflection of a loaded plate 1106-8
Deformation tensor 287 294
Degenerate quadric 256
Degrees of freedom 1274 1291
Degrees of freedom, for residual sum of squares 1307
Delta symbol see Kronecker
Dense set 999
densities 895
Dependence of functions 458-61
Dependence of functions, of solutions of initial and boundary value problems on initital and boundary conditions and parameters 770 826 866
Dependent variable 397
derivatives 415 444
Derivatives, fundamental formulae 417-9
Derivatives, general theorems on 425-6
Derivatives, improper, infinite 416
Derivatives, interchangeability of mixed 446
Derivatives, left-hand (right-hand) 416
Derivatives, of a product of functions 421-2
Derivatives, of a vector 269
Derivatives, of composite and inverse functions 420-1
Derivatives, partial 444-6
Derivatives, partial, of several variables 445
Descartes's folium 188-9
Descartes's theorem 1170
Determinants, addition rule 68
Determinants, cofactor 68
Determinants, definition and theorems 67-70
Determinants, evaluation of 69
Determinants, expansion according to  -th row 68
Determinants, Gram 461
Determinants, minor 68
Determinants, multiplication of 68-69
Determinants, Wronskian 461
Developable surfaces, differential equation of 360
Differences 422 1221
Differences, of sets 83
Differential 422
Differential calculus, functions of a real variable 397 439
Differential calculus, functions of a real variable, survey of important formulae 438-9
Differential equations, "Approximate" and "numerical" solutions, meaning explained 1065
Differential equations, Bernouilli's 746-7
Differential equations, Bessel 717 790
Differential equations, Bessel function of second kind 721 797
Differential equations, Clairaut's 758
Differential equations, classification and basic concepts 731-8 858-60 882
Differential equations, discriminant curve 759
Differential equations, Euler's 784-5
Differential equations, Graphical analysis, solution by 1217-9
Differential equations, Hermite's 798
Differential equations, integrals of 731-8
Differential equations, Lagrange's 757-8
Differential equations, Laguerre's 798
Differential equations, Laplace's 884
Differential equations, Legendre's 797
Differential equations, linear 743 775
Differential equations, Liouville's formula 777
Differential equations, orders of 730-1
Differential equations, orders of, methods of reducing 769-70
Differential equations, ordinary 730-857
Differential equations, ordinary and Partial, distinction between 730
Differential equations, Ordinary, approximate solutions of Boundary value problems 1083-90
Differential equations, Ordinary, approximate solutions of Eigenvalue problems 1090-7
Differential equations, Ordinary, approximate solutions of Initial value problems 1065-83
Differential equations, Ordinary, asymptotic behaviour of integrals 771
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