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
Rhombus, formulae for geometrical elements 135 Ricatti differential equation 747—748 Riemann and Lebesgue integration, distinction between 596 Riemann and Lebesgue theorem 712 Riemann integration 550 Riemann surface 966 Riemann Theorem 975—976 Riemann zeta function 672 Riemann — Schwarz reflection principle 983 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—987 Ritz, iteration method 1152—1154 Ritz, method for boundary value and eigenvalue problems 1052—1054 Robertson's law of growth 202—203 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—1172 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—262 354 358 Ruled surfaces, undevelopable 354 Ruling lines 259 Runge method 715 Runge — Kutta formulae 1075—1076 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—1268 Sampling graphical representation 1273 Sampling histogram 1270 Sampling inspection 1280—1281 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—1187 Scales, absolute accuracy, absolute error 1186—1187 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—702 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—138 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—165 Semilogarithmic paper 1188 Sentences 39—40 Separation of variables 739 1098 Sequences of constant terms 374—381 Sequences of equicontinuous functions 668 Sequences of uniformly bounded functions 667 Sequences with variable terms, integration and differentiation of 668—669 Sequences with variable terms, uniformly convergent 666 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—381 Sequences, increasing 379 Sequences, monotonic 379 Sequences, oscillating 382 Sequences, subsequences of 377 Series in two or more variables 680 712 Series with variable terms condition of convergence 671—673 Series with variable terms condition of convergence, differentiation 673 Series with variable terms condition of convergence, integration 672—673 Series with variable terms condition of convergence, survey of important formulae 690—691 Series with variable terms condition of convergence, uniformly convergent 671 Series, applications of 687—690 Series, convergent and divergent 382 953—954 Series, divergent, application of 688—690 Series, domain of convergence 954 Series, expansions into series 683—686 Series, harmonic 382 Series, power series 674 955 Series, power series, radius of convergence 955 Series, tables 393—395 683—686 Serret — Frenet formulae 308—309 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—997 Sets, point of accumulation (cluster point, limit point) 994 Sets, regions 995—996 Sets, spaces 997—1019 Several variables, functions of 440—485 Several variables, functions of, composite functions, limit, continuity 440—444 Several variables, functions of, extremes 476—484 Several variables, functions of, introduction of new variables 470—476 Several variables, functions of, partial derivatives of 445 Several variables, functions of, survey of important formulae 484—485 Several variables, functions of, transformations 470—476 Sheaf of planes 241 Shells, problems in theory of 913 Significance tests, 1275—1276 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, F-test 1275 Significance tests, null hypothesis 1273 Significance tests, Student's t-test 1273 Signs and notation 27—37 Similar matrices 97 Simple epicycloid or hypocycloid 163 Simple function in a region O 943 simple harmonic motion 194 Simpson's rule for definite integrals 593—594 Sine and cosine, integrals containing 529—539 Sine, curves 193—194 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—330 Singular points of differential equation 751 Singular points of functions of a complex variable 960 Singular points of surface 344 Skeleton collinear nomogram 1204—1206 Skew curve 301 Skew field 86 Skew lines, distance between 2 245—246 Skew surface 354 359 Skew symmetric matrices 89 Skew symmetric tensors 294 Slope of a straight line 208 Small numbers, computation with 436—438 Smooth curve 299 417 603 Smooth function 417 Smooth surface 344 Sobotka's rectification of a circular arc 152 Solenoidal (sourceless) vector field 272 Solid analytic geometry, coordinate systems 233—237 Solid analytic geometry, coordinate systems, cylindrical (semi-polar) 234 Solid analytic geometry, coordinate systems, rectangular 233—234 Solid analytic geometry, coordinate systems, spherical (polar) 234—235 Solid analytic geometry, linear concepts 237—247 Solids, integral calculus, applications of 653 Solids, volumes, surfaces, centroids and moments of inertia 142—149 Solution of ordinary differential equation 731—732 737 Solution of ordinary differential equation, by approximate methods 1065—1097 Soreau's equation 1195 Space(s) 997—1019 Space(s), 996 Space(s), 997 Space(s), 998 Space(s), Banach 1003—1004 Space(s), C 998 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—1005 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—1016 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—1008 Space(s), operators, linear and other 1007—1013 Space(s), operators, norm of 1010 Space(s), operators, positive, positive definite 1018 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—1019 Space(s), real 998 Space(s), vector 1001—1002 Spathe's theorem 773 Special Cauchy problem 860—861 Spectrum of an operator 1015 Spectrum of an operator, pure point 1016 Sphere, equation of 247 Sphere, geometrical formulae 147—148 Sphere, homeomorphic image of a 997 Sphere, sector of a 147 Sphere, segment of a 148 Sphere, volume, surface area, moment of inertia 147—148 Spherical coordinate surfaces 235 Spherical coordinates in solid analytic geometry 234—235 Spherical coordinates, transformations of differential equations and expressions 470—476 Spherical coordinates, transformations of vectors and corresponding operators 274 Spherical functions 722 Spherical harmonics 725—727 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—121 Spherical triangle, fundamental properties 121 Spherical triangle, general (oblique) 123—124 Spherical triangle, right-angled 122 Spherical trigonometry 120—124 Spheroid, prolate and oblate 148 spirals 174—179 Spirals, Archimedes 174—176 Spirals, hyperbolic or reciprocal 176 Spirals, logarithmic, equiangular or logistic 177—179 Sportka, Czech lottery 1247 Spring constant 194 Square integrable functions 598 691 Standard deviation 1251 1265 1279 Standard errors, estimates of 1306—1307 Standard integrals 487—488 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—648 Statical moment, integral calculus for plane figures 652 Statical moment, integral calculus for solids 656 Statical moment, integral calculus for surfaces 659—660 Stationary heat-conduction equation 1102—1103 Stationary points of a function 431 Statistics see "Mathematical statistics" Step of argument, step of table 1225 Stereographic projection 938—939 Stieltjes integral 599 Stirling formula 588 Stirling interpolation formula 1232—1233 Stokes theorem 277 643 Straight line equations 208—212 243 Straight line equations, Directed (oriented) 212—215 Straight line equations, examples and theorems 209—212 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—211 Straight line equations, normal equation 215—216 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—216 Straight lines, condition for being parallel or perpendicular to a plane 246 247 Straight lines, conditions for 2 to be perpendicular or parallel 213—214 246—247 Straight lines, directed (oriented) 212 Straight lines, distance of a point from 216 245—246 Straight lines, forming conic sections 227
Ðåêëàìà
contingency table 
|
|
Î ïðîåêòå