Àâòîðèçàöèÿ
Ïîèñê ïî óêàçàòåëÿì
Rektorys K. (ed.) — Survey of Applicable Mathematics
Îáñóäèòå êíèãó íà íàó÷íîì ôîðóìå Íàøëè îïå÷àòêó?
Íàçâàíèå: Survey of Applicable MathematicsÀâòîð: Rektorys K. (ed.) Àííîòàöèÿ: 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.
ßçûê: Ðóáðèêà: Ìàòåìàòèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 1969Êîëè÷åñòâî ñòðàíèö: 1369Äîáàâëåíà â êàòàëîã: 06.12.2013Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
Ïðåäìåòíûé óêàçàòåëü
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—1210 Collineation nomograms, anamorphosis, conditions of 1196 Collineation nomograms, skeleton 1204 Combinations, definition and theorems 56 Common logarithms 53 Commutative groups and rings 85—86 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 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, Functions of a 938—970 Complex variable, functions of a, applications of the theory of functions 943 Complex variable, functions of a, Cauchy integral theorem and formula 946—948 Complex variable, functions of a, derivative 938—943 Complex variable, functions of a, fundamental concepts 938—943 Complex variable, functions of a, integrals of 943—948 Complex variable, functions of a, limit and continuity 940 Complex variable, functions of a, logarithm and power 965—970 Complex variable, functions of a, signs and notation 35 Composite functions 399 441 Composite functions, differentiation 420 450—452 Composite functions, limit 410—411 Computation, with small numbers 436—438 Concavity and convexity 429 Conchoid of a circle 191 Conchoid of Nicomedes 190—191 Conditional probability 1248 Cone right circular 146 Cone right circular, frustum of, and its centroid 146—147 Cone virtual 254 Cone volume, surface areas, moment of inertia 146—147 Conformal mapping 971—993 Conformal mapping, "adjacent" regions 981—982 Conformal mapping, boundary properties 985—986 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—985 Conformal mapping, methods of performing, by integral equations 989—991 Conformal mapping, methods of performing, examples 979—981 Conformal mapping, methods of performing, small parameter 991 Conformal mapping, methods of performing, variational 986—989 Conformal mapping, Riemann — Schwarz reflection principle 983 Conformal mapping, Riemann's theorem 975 Conformal mapping, upper half-plane on a polygon 992—993 Conformally collinear (parallel) vectors 265—266 Congruent matrices 102 Congruent matrices, Hermitian 106 Congruent transformation of cartesian coordinates in a plane 224—225 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—232 Conical surfaces 259 Conicoids 247—257 Conjugate diameters of circle 151 Conjugate diameters of conic section 231 Conjugate gradients method 1158—1160 Conoids 261—262 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—405 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—1283 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 in the mean 693 998—999 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, 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—266 Correctness of boundary value problems 866 Correlation coefficient 1266 Correlation table 1270 Correspondence between two sets 84 Cosine integrals 488 532—535 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—228 Cube, volume and surface of 143 Cubic equations 77—79 Cubic equations, solution by factorization 78 Cubic equations, solution, algebraic 78 Cubic equations, solution, trigonometrical 78—79 Cubic, discriminating, of a quadric 256 Cubical parabola 164 Curl of a vector 273 Curtate cycloid 167 Curtate epicycloid 169 Curtate involute of a circle 173 Curvature 315—316 364 Curvature, Gaussian 368 Curvature, geodesic 372—373 Curvature, normal 366 Curve(s) in space 298 301 Curve(s) in space, implicit equations defining 300—301 Curve(s) in space, integral calculus 649 Curve(s) of greatest slope on a surface 373 Curve(s) of oscillations 194—196 Curve(s) of r-th class 1020—1021 Curve(s) on surfaces 347—355 Curve(s), approximate constructions of 203—204 Curve(s), canonical equations (representation) of 317 Curve(s), closed 602 Curve(s), contact of 319—326 Curve(s), cyclic 165—174 Curve(s), definitions and equations 298—301 Curve(s), directrix 259—260 Curve(s), double points of 299 Curve(s), equation as locus of a point 207—208 Curve(s), equation of tangent to a 305 Curve(s), evolutes and involutes of 335—338 Curve(s), exponential 181—183 Curve(s), first and second curvatures 309 315—319 Curve(s), fitting to empirical data 1285—1301 Curve(s), fitting to empirical data, linear regression equations, numerical examples 1291—1299 Curve(s), gradient on a surface 373 Curve(s), growth 200—204 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), oriented in the sense of increasing parameter 628 Curve(s), osculating circle 323 Curve(s), parallel 334—335 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—165 Curve(s), scaleholder 1185 Curve(s), simple finite piecewise smooth 602—604 Curve(s), simple finite piecewise smooth, positively oriented 628 Curve(s), simplicity of 602 Curve(s), smooth 299 417 603 Curvilinear coordinates of a point on a surface 346 Curvilinear integrals 628—637 Curvilinear integrals of first and second kinds 630 Curvilinear integrals, along a curve in space 633 Curvilinear integrals, geometric and physical meanings 632—633 Cusp of a curve 329 Cuspidal edge 354 Cyclic curves 165—174 Cyclic curves, construction of centres of curvature 174 Cycloids 165—168 Cycloids, curtate and prolate 167 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—146 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—198 Damped vibrations, differential equation 844 Danilevski method 1164—1167 Darboux sums 550—551 De Moivre's formula and theorem 49 De Morgan's formulae 84 Definite integrals 550 605 618 Definite integrals, approximate evaluation 592—595 Definite integrals, Cauchy — Riemann definition 551 Definite integrals, Chebyshev's formula 594—595 Definite integrals, rectangular rule 592—593 Definite integrals, Simpson's rule 593—594 Definite integrals, substitution 558 615 621 Definite integrals, table 579—584 Definite integrals, trapezoidal rule 593 Deflection of a loaded plate 1106—1108 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—461 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 of a product of functions 421—422 Derivatives of a vector 269 Derivatives of composite and inverse functions 420—421 Derivatives, fundamental formulae 417—419 Derivatives, general theorems on 425—426 Derivatives, improper, infinite 416 Derivatives, interchangeability of mixed 446 Derivatives, left-hand (right-hand) 416 Derivatives, partial 444—446 Derivatives, partial, of several variables 445 Descartes's folium 188—189 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 i-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, survey of important formulae 438—439 Differential equations, "Approximate" and "numerical" solutions, meaning explained 1065 Differential equations, Bernouilli's 746—747 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—738 858—860 882 Differential equations, discriminant curve 759 Differential equations, Euler's 784—785 Differential equations, Graphical analysis, solution by 1217—1219 Differential equations, Hermite's 798 Differential equations, integrals of 731—738 Differential equations, Lagrange's 757—758 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—731 Differential equations, orders of, methods of reducing 769—770 Differential equations, ordinary and Partial, distinction between 730 Differential equations, oscillatory solution 112 Differential equations, systems of 730 817 Differential equations, trajectories 761—762 Differential equations, uniqueness of solution 734—737 Differential equations: Ordinary 730—857 Differential equations: Ordinary systems of 817 Differential equations: Ordinary systems of canonical form 817—818 Differential equations: Ordinary systems of dependence and stability of solutions 826—828 Differential equations: Ordinary systems of first integrals of 828—832 Differential equations: Ordinary systems of homogeneous, fundamental, non-homogeneous 819—824 Differential equations: Ordinary systems of vector (matrix) form 818—819 Differential equations: Ordinary, approximate solutions of boundary value problems 1083—1090
Ðåêëàìà
|
|
Î ïðîåêòå