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Rektorys K. — Survey of Applicable Mathematics.Volume 2.
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Название: Survey of Applicable Mathematics.Volume 2.Автор: Rektorys K. Аннотация: This major two-volume handbook is an extensively revised, updated second edition of the highly praised Survey of Applicable Mathematics, first published in English in 1969.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: 2ndГод издания: 1994Количество страниц: 978Добавлена в каталог: 30.08.2014Операции: Положить на полку |
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Conformal mapping, square on circle II 306 Conformal mapping, upper half-plane, on polygon II 302 II Conformal mapping, upper half-plane, on rectangle II 300 Conformal mapping, upper half-plane, with segments on upper half-plane II 314 Conformal mapping, use of Green function II 303 Conformally collinear (parallel) vectors I 227 Congruent matrices I 64 Congruent matrices, Hermitian I 68 Congruent transformation of cartesian coordinates in plane I 186 Conic section(s), axes of I 193 Conic section(s), conjugate diameters I 193 Conic section(s), conjugate direction of parallel chords I 192 Conic section(s), discriminant of I 188 Conic section(s), general equation of I 188 Conic section(s), polar of a point with respect to I 192 Conic section(s), pole of a line with respect to I 192 Conic section(s), singular and regular (nonsingular) I 189 Conic section(s), tangents to I 193 Conical surfaces I 221 Conicoids I 209 ff Conjugate diameters of circle I 113 Conjugate diameters of conic section I 193 Conjugate directions methods II 620 Conjugate gradients method II 620 II Connected set II 320 Conoids I 223 Conservative vector field I 233 Constant strength catenary I 147 Constrained extremes I 441 Contingency table II 763 Contingency table, cells II 763 Contingency table, two-way and three-way II 765 Continuation (extension) of solution of ordinary differential equation II 7 Continuation (extension), analytic II 272 II II Continuity I 366 I Continuity of abstract function II 365 Continuity of functions of complex variable II 245 II Continuity right-hand and left-hand I 367 Continuity sectional or piecewise I 369 I Continuity, Cauchy and Heine definitions I 366 Continuity, equation II 204 Continuous dependence of solution of differential, equations on initial and boundary conditions and on paramaters II 45 II II II II II Continuous extensibility on the boundary I 405 II Continuous functional II 367 Continuous group I 713 Continuous operator II 347 Contraction of tensors I 255 Contraction, mapping II 345 1 Contravariant and covariant, tensor on surface I 251 Contravariant and covariant, tensors I 247 Contravariant and covariant, vector coordinates I 242 I Contravariant and covariant, vector on surface I 249 Contravariant and covariant, vectors I 247 Convergence in metric space II 326 Convergence in norm II 332 Convergence in the mean I 666 II Convergence of improper integrals I 522 I I Convergence of improper integrals, Bolzano — Cauchy condition I 524 I Convergence of matrices II 111 Convergence of sequence of matrices II 111 Convergence of sequence of random variables II 731 Convergence of sequence of random variables, almost sure (with probability 1) II 731 Convergence of sequence of random variables, in distribution (weak) II 731 Convergence of sequence of random variables, in probability II 731 Convergence of sequences and series I 336 I I I II Convergence of sequences and series, absolute I 345 I I Convergence of sequences and series, Bolzano — Cauchy condition I 337 I I I Convergence of sequences and series, Clausen transformation I 353 Convergence of sequences and series, conditional I 345 Convergence of sequences and series, domain of II 261 Convergence of sequences and series, improvement of I 352 Convergence of sequences and series, in space I 666 Convergence of sequences and series, in the mean I 666 Convergence of sequences and series, of functions of complex variable II 259 II Convergence of sequences and series, radius of I 646 Convergence of sequences and series, tests for I 346 ff Convergence of sequences and series, uniform I 637 I Convergence of series in Hilbert space II 333 Convergence theorems for finite difference method II 565 Convergence theorems for finite element method II 447 ff Convergence weak II 350 Convex functional II 370 Convex polyhedron II 824 Convex polyhedron, boundary of II 833 Convex polyhedron, decomposition of II 833 Convex polyhedron, dimension of II 832 Convex polyhedron, edge of II 834 Convex polyhedron, face of II 834 Convex polyhedron, interior of II 834 Convex polyhedron, linear span of II 833 Convex polyhedron, vertex of II 834 Convex set II 320 Convexity (functions of one variable) I 391 Convolution II 580 II Coordinate system I 167 I Coplanar vectors I 227 Correction of measurement II 779 Correctness of boundary value problems II 155 II II II Correlation, analysis, multivariate II 785 Correlation, canonical II 785 Correlation, coefficient II 709 Correlation, coefficient, multiple and partial II 709 Correlation, coefficient, sample II 737 Correlation, matrix II 709 Correlation, matrix, sample II 738 Correlation, table II 741 Correspondence between two sets I 46 Cosine integrals I 450 I Cosine theorem for plane triangle I 79 Cosine theorem for spherical Euler triangle I 85 Counting process II 797 Courant minimax principle II 86 II Covariance II 708 Covariance matrix II 709 Covariance sample II 738 Covariant and contravariant, tensor on surface I 249 Covariant and contravariant, tensors I 247 Covariant and contravariant, vector coordinates I 242 I Covariant and contravariant, vector on surface I 249 Covariant and contravariant, vectors I 247 Cramer rule I 36 II Cramer — Rao lower bound II 749 Crank — Nicolson method (scheme) II 467 II Critical damping I 159 Critical region II 755 Cross, covariance function II 814 Cross, product of vectors I 229 Cross, ratio of four points I 189 Cube, volume and surface of I 105 Cubic discriminating, of quadratic I 218 Cubic equation I 39 ff Cubic equation, solution, algebraic I 40 Cubic equation, solution, by factorization I 40 Cubic equation, solution, trigonometric I 41 Cubic Hermite element, one-dimensional II 433 Cubic Hermite element, two-dimensional II 435 Cubic Lagrange element II 435 Cubical parabola I 126 Cumulant II 704 Curl of vector I 235 Curtate cycloid I 129 Curtate epicycloid I 131 Curtate involute of circle I 135 Curvature I 277 I Curvature, Gaussian I 330 Curvature, geodetic I 334 Curvature, normal I 328 Curve(s) in space I 260 I Curve(s) in space, implicit equations defining I 262 Curve(s) in space, integral calculus I 620 Curve(s) of greatest slope on surface I 335 Curve(s) of oscillations I 156 Curve(s) of r-th class II 375 II Curve(s) on surface I 309 ff Curve(s), approximate constructions of I 165 ff Curve(s), canonical equations (representation) of I 279 Curve(s), closed I 572 Curve(s), contact of I 281 ff Curve(s), cyclic I 127 ff Curve(s), definitions and equations I 260 ff I Curve(s), directrix I 221 Curve(s), double point of I 261 Curve(s), equation of tangent to I 267 Curve(s), equations as locus of a point I 169 Curve(s), evolutes and involutes of I 279 ff Curve(s), exponential I 143 ff Curve(s), first and second curvature I 271 I Curve(s), gradient on surface I 335 Curve(s), growth I 162 Curve(s), integral I 599 ff Curve(s), intrinsic equations of I 280 Curve(s), Jordan I 573 Curve(s), length of I 265 I I I Curve(s), length of arc, linear element I 265 I Curve(s), logistic I 164 Curve(s), natural equations of I 280 Curve(s), oriented in sense of increasing parameter I 599 Curve(s), osculating circle I 285 Curve(s), parallel I 296 Curve(s), parametric equations I 261 I Curve(s), piecewise smooth I 260 I Curve(s), Plane I 112 ff Curve(s), positively oriented with respect to its interior I 599 Curve(s), power I 125 Curve(s), simple finite piecewise smooth I 572 Curve(s), simple finite piecewise smooth, positively oriented I 599 Curve(s), simplicity of I 572 Curve(s), smooth I 261 I I Curvilinear coordinates of points on surface I 308 Curvilinear element II 439 Curvilinear integrals I 599 ff Curvilinear integrals along a curve in space I 604 Curvilinear integrals of first and second kinds I 601 Curvilinear integrals, geometrical and physical meanings I 603 Cusp of curve I 291 Cuspidal edge I 316 Cutting plane methods II 863 Cyclic curves I 127 ff Cyclic curves, construction of centres of curvature I 136 Cyclic reduction II 614 Cycloids I 127 ff Cycloids, curtate and prolate I 129 Cylinder hollow (tube) I 108 Cylinder hyperbolic, parabolic, real and virtual elliptic, canonical and transformed equations I 217 Cylinder right circular I 107 Cylinder right circular of given volume having least surface I 395 Cylinder segment of I 107 Cylinder truncated I 107 Cylinder volume, surface areas, moment of inertia I 106 ff Cyrindrical coordinates in solid analytic geometry I 196 Cyrindrical coordinates, transformations of differential equations and expressions into I 432 Cyrindrical functions I 692 ff Cyrindrical helices I 297 D'Alembert, formula II 192 D'Alembert, ratio test for convergence of series I 347 Damped oscillations, forced, curves of I 161 ff Damped oscillations, free, curves of I 158 ff Damped vibrations, differential equation II 132 II Darboux sums I 512 De Moivre formula and theorem I 11 De Morgan formulae I 46 decile II 700 Decomposition(s) of convex pohyhedron II 832 Decomposition(s) of domain II 428 Decomposition(s), systems of II 447 Deferred approach to limit II 487 II II Definite integrals I 512 ff I I Definite integrals, approximate evaluation I 555 ff Definite integrals, Cauchy — Riemann definition I 513 I I Definite integrals, Lebesgue definition I 559 ff I Definite integrals, Simpson rule I 557 Definite integrals, Stiltjes definition I 567 Definite integrals, substitution I 520 I I Definite integrals, table I 541 ff Definite integrals, trapezoidal rule I 557 Deflection of clamped plate II 205 Deflection of fixed solid beam II 390 Deflection of loaded plate II 543 Deformation tensor I 249 I Degenerate quadric I 218 Degree of freedom II 430 Delta I 404 II II II II Delta symbol see "Kronecker" Dense set, in metric space II 326 Density of potential of double layer II 185 II Density of potential of single layer II 185 II Density, probability II 696 II Density, spectral II 815 Dependence of functions I 420 ff Dependence of solutions of initial and boundary value problems on initial and boundary conditions and on parameters II 45 II II II II Dependent variable I 359 Derivative(s) I 377 I Derivative(s) of abstract function II 366 Derivative(s) of composite functions I 382 Derivative(s) of inverse functions I 382 Derivative(s) of matrices II 110 Derivative(s) of vector I 231 Derivative(s), complex II 246 II II Derivative(s), Frechet II 373 Derivative(s), fundamental formulae I 379 ff Derivative(s), Gateau II 372 Derivative(s), general theorems on I 387 ff Derivative(s), generalized II 339 Derivative(s), improper, infinite I 378 Derivative(s), interchangeability of mixed I 408 Derivative(s), left-hand, right-hand I 378 Derivative(s), partial I 406 ff Descartes, Folium I 150 Descartes, theorem II 650 Determinant(s), additions rule I 30 Determinant(s), cofactor I 30 Determinant(s), definition and theorems I 29 Determinant(s), evaluation of I 31 Determinant(s), expansion according to i-th row I 30 Determinant(s), Gram I 423 Determinant(s), minor I 30 Determinant(s), multiplication of I 30 Determinant(s), Wronskian II 51 Developable surfaces, differential equations of I 322 Dictionary of conformal mapping II 312 ff Difference(s) I 384 Difference(s) of sets I 45 Difference(s), divided II 677 Difference(s), k-th backward II 678 Difference(s), k-th central II 680 Difference(s), k-th forward II 678 Differential I 384 Differential calculus I 359 ff Differential calculus, survey of important formulae I 400 ff Differential equations, Bernoulli II 20 Differential equations, Bessel I 693 II II II II Differential equations, Clairaut II 32 II Differential equations, classification and basic concepts II 2 Differential equations, discriminant curve II 33 Differential equations, Euler II 60 Differential equations, Hermite I 712 II Differential equations, integrals of II 3 II Differential equations, Lagrange II 31 Differential equations, Laguerre I 712 II Differential equations, Laplace II 174
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