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
Liouville's theorem 891 961 Lipschitz condition 734—735 Ljapunov Theorem 1262—1263 Local dependence of functions 460 Locus of a point as equation of a curve 207—208 Logarithmic decrement 198 Logarithmic functions of a complex variable 965—970 Logarithmic functions of a complex variable, analytic continuation 965 Logarithmic functions of a complex variable, multi-valued 966 Logarithmic functions of a complex variable, principal and second branches 965—966 Logarithmic paper 1188 1191 Logarithmic potential 885 Logarithmic scale 1186 Logarithmic singularity 967 Logarithmic spiral 177—179 Logarithms, concept and properties 52—53 Logarithms, conversion modulus 404 Logarithms, equations 53—54 Logarithms, integral 589 Logarithms, moduli of 33 Logarithms, natural, base of 379 403—404 Logarithms, power series for 684 Logical concepts 39—40 Logistic curve 202 Lower integral of Darboux sums 550 Loxodrome 351 Maclaurin's formula 435 Maclaurin's inequality 1169 Magnitude of a vector 206 265 Mainardi equations 371 Majorant of a function 563 Majorant of a series 384 672 Mapping, conformal 971—993 Mapping, continuous 456 Mapping, contraction 1008 Mapping, definitions and specialized terms 84—85 Mapping, equations of a scale 1184 Mapping, equations of graph paper 1187 1190 Mapping, equations of nomograms 1191 1193 Mapping, linear (operator) 1009 Mapping, linear (systems of algebraic equations), composition of 101 Mapping, linear (systems of algebraic equations), definition 101 Mapping, linear (systems of algebraic equations), matrix notation for 102 Mapping, one-to-one between sets 84 Mapping, one-to-one between sets, substitution 102 Mapping, regular 455—458 Mass, integral calculus for curves in space 649 Mass, integral calculus for plane curves 647 Mass, integral calculus for plane figures 652 Mass, integral calculus for solids 655—656 Mass, integral calculus for surfaces 658—659 Massau's equation 1193 1198 1200 Mathematical physics, problems 866 Mathematical statistics 1264—1284 Mathematical statistics, basic concepts 1264 Mathematical statistics, calculations, charts and tables 1265—1273 Mathematical statistics, Estimation theory 1277—1279 Mathematical statistics, expectation 1279 Mathematical statistics, quality control 1279—1284 Mathematical statistics, significance tests 1273—1276 Mathematical statistics, standard deviation 1279 Mathematical statistics, variance 1279 Matrix, Matrices 64—66 87—106 Matrix, Matrices, 94—96 Matrix, Matrices, 95—96 Matrix, Matrices, 94 Matrix, Matrices, 94—95 Matrix, Matrices, 95 Matrix, Matrices, 95 Matrix, Matrices, characteristic 97—98 Matrix, Matrices, characteristic, polynomial of 97 Matrix, Matrices, complex conjugate 90 Matrix, Matrices, congruent 102 Matrix, Matrices, conjunctive 106 Matrix, Matrices, decomposed into diagonal blocks 93 98 Matrix, Matrices, diagonal 94 Matrix, Matrices, diagonals, principal and secondary 64 94 Matrix, Matrices, elementary division of 96 Matrix, Matrices, Frobenius normal form 1165 Matrix, Matrices, Hermitian 106 Matrix, Matrices, higher orders, by iterative method 1162 Matrix, Matrices, Jordan block 99—100 Matrix, Matrices, minor, of order k 66 Matrix, Matrices, multiplication 87 Matrix, Matrices, n-rowed square 64 Matrix, Matrices, non-singular 88 Matrix, Matrices, operations on 87—94 Matrix, Matrices, orthogonal 90 103 Matrix, Matrices, partitioned into blocks 91—94 Matrix, Matrices, positive or negative definite, semidefinite or indefinite 105 Matrix, Matrices, product of 87 Matrix, Matrices, rank, definitions and theorems 64—66 Matrix, Matrices, regular 88 Matrix, Matrices, signature of form 105 Matrix, Matrices, similar 97 Matrix, Matrices, square 88 Matrix, Matrices, symmetric and skew-symmetric 89 Matrix, Matrices, trace of a square matrix 91 Matrix, Matrices, transposed 64 Matrix, Matrices, triangular 93 Matrix, Matrices, unitary 91 Matrix, Matrices, upper triangular, eigenvalues of 97—98 Mean approximation of number 1242 Mean curvature 316 Mean curvature, torsion 317 Mean square deviation 693 Mean-value theorems 425 554 890 Mean-value theorems for double integrals 609 Mean-value theorems, generalization for several variables 453 Mean-value theorems, generalized 426 Measurable sets 595 Median 1251 Meromorphic function 960 Metric spaces 997 Metric spaces, linear and other operators in 1007—1013 Metric tensor of a space 285—286 Metric, axioms 998 Metric, compact, precompact, relatively compact spaces 1000—1001 Meusnier theorem 365 Minkowski's inequality 47 Minor in a determinant 68 Mixed derivatives, interchangeability 446 Mixed product of three vectors 268 Modulus of a scale 1184 Modulus of a vector 265 Modulus of precision 1316 Moments of inertia, formulae for plane figures 133—142 Moments of inertia, formulae for solids 142—149 Moments, integral calculus for curves in space 649—650 Moments, integral calculus for plane curves 648 Moments, integral calculus for plane figures 653 Moments, integral calculus for solids 657 Moments, integral calculus for surfaces 660 Monodromy theory 970 Monotonic functions 429 Monotonic sequences 379 Montpellier conoid 262 Movable (free) ends of admissible curves 1037—1044 Moving polhode 165 Moving trihedron and Frenet formulae 306—315 Multiple angle formulae of trigonometric functions 112 Multiple point of a curve 299 Multiplication of matrices 87 Multiplication of tensors 293 Multiplication of vectors 266—268 Multipliers, Lagrange's method 480—481 n-component (n-coordinate) complex vector 62 n-dimensional vector space 62 N-nomogram 1201—1202 Nabla operator 272 Napier's rule 122 Natural logarithms, base of 379 Natural numbers 40—41 Natural numbers, sums of powers of 54—55 Necas theorem 1092 Negative binomial distribution 1255—1256 Negative half line 212 Negative orientation 267 Negative sense of orientation 212 234 Neil's parabola 164—165 Nephroid 171 Nets, finite difference method 1084 1094 1109—1124 Neumann see also "Dirichlet and Neumann" Neumann problem 886 Neumann solution for Laplace equation 889 Newton definite integral 556 Newton formula, binomial theorem 57 Newton general interpolation polynomial 1223 Newton interpolation formulae, backward (second) 1230 Newton interpolation formulae, forward, for equidistant arguments 1227—1229 Newton interpolation formulae, general 1223—1225 Newton potential 885 Newton — Fourier method in conformal mapping 992—993 Newton's method for obtaining roots of algebraic equation 1178 Nicomedes's conchoid 190—191 Node 329 752 Nomograms, alignment or collineation 1195—1210 Nomograms, lattice, intersection charts 1189—1195 Nomograms, lattice, intersection charts, mapping equations of 1190 Nomograms, Transparency-using 1210—1213 Nomograms, working field of 1192 Nomographic order 1196—1198 Nomography and graphical analysis 1183—1219 Non-developable surface 354 Non-linear systems, numerical solution 1180—1182 Non-singular conic sections 227 Norm of a function 692 Norm of a tangent vector 304 Norm of a vector 265 Norm of partition 608 Normal acceleration 314 Normal cycloid 165 Normal distribution 1252—1253 Normal distribution, approximate tests based on 1276 Normal epicycloid and hypocycloid 168 Normal equation of a straight line 215—216 Normal equations 1304 Normal law of error 1316 Normal plane 309 Normal vector to a plane 238 Normal vector to a surface 350 Normed (normalized) function 695 Nuisance parameters 1265 Null vector 263 Number axis 1184 Numbers, complex 47—49 Numbers, Complex, conjugate 48 Numbers, Complex, imaginary, pure 48 Numbers, law of large numbers 1261—1262 Numbers, rational, irrational 41 43 Numbers, real 42—44 Numerical calculation of matrix eigenvalues 1160—1167 Numerical calculation of matrix eigenvalues by Danilevski's method 1164—1167 Numerical calculation of matrix eigenvalues by other iterative methods 1161—1164 Numerical methods in linear algebra 1146—1167 Numerical methods in linear algebra, Choleski's (or Banachiewicz's) method 1151 Numerical methods in linear algebra, conjugate gradients method 1158—1160 Numerical methods in linear algebra, elimination method 1146—1152 Numerical methods in linear algebra, Gauss — Seidel iteration method 1155—1156 Numerical methods in linear algebra, relaxation method 1157—1158 Numerical methods in linear algebra, Ritz iteration method 1152—1154 Numerical solutions (approximate) of ordinary differential equations 1065 Numerical solutions of algebraic and transcendental equations 1168—1182 Numerical solutions of algebraic and transcendental equations, basic properties 1168—1169 Numerical solutions of algebraic and transcendental equations, connection of roots with matrix eigenvalues 1171—1172 Numerical solutions of algebraic and transcendental equations, estimates for roots 1169—1171 Numerical solutions of algebraic and transcendental equations, methods for solving 1172—1180 Numerical solutions of algebraic and transcendental equations, methods for solving, non-linear systems 1180—1182 Obelisk, volume and centroid of 144 Oblate spheroid 148 248 Oblique trajectories 762 Observations and frequencies, transformations of 1271—1273 Observations, Calculus of 1315—1321 One-parameter family of plane curves, envelopes of 330—334 One-parameter family of surfaces, envelopes of 355 One-to-one, correspondence 84 400 One-to-one, correspondence, mapping between sets 84 456 Open interval 397 Open set 995 Operation, operator, mapping 84 Operational calculus 1125—1145 see Operational calculus, Heaviside's 1128 Operator(s) in Hilbert space 1013 Operator(s), vector analysis 273—276 Ordering of integers 41 Ordering of real numbers 43 Ordinary differential equations 730 1065 Orientation 212 Orientation, positive and negative sense 212 234 Orientation, right-handed and left-handed 234 Oriented curve 628 Oriented projection of surface 638 Oriented straight line 212 Origin of coordinate system 205 Orthogonal and orthonormal systems 695 Orthogonal conjugate net on a surface 369 Orthogonal functions 695 Orthogonal invariants 253 Orthogonal matrix 90 Orthogonal trajectories of 1-parameter family of curves 342 Orthogonal trajectories of tangents to a curve 335 Orthogonality of a straight line and a plane 246 Orthogonality of two planes 240 Orthogonality of two straight lines 214 246 Orthonormal (function system) 695 Orthonormal (function system) with weight function 697 Oscillating series 382 Oscillations, curves of 194—200 Oscillations, curves of, aperiodic motions 197 Oscillations, curves of, damped, critical 197 Oscillations, curves of, damped, forced 199—200 Oscillations, curves of, damped, free 196—198 Oscillations, curves of, damped, supercritical 197 Oscillations, curves of, logarithmic decrement 198 Oscillations, curves of, resonance curve 196 Oscillations, curves of, transient 200 Oscillations, curves of, undamped (continuous), forced 195—196 Oscillations, curves of, undamped (continuous), free 194—195 Oscillator, weakly nonlinear 1095—1097 Oscillatory solutions to linear differential equations 771—772 Osculating circle 323 Osculating circle of vertex of ellipse 156 Osculating curves 321—325 Osculating plane 309—310 Outer product of vectors 267 p-quantile 1251 Pappus's rules 662 parabola 141—142 160—165 223—224 Parabola, as a conic section 227 Parabola, as a conic section, equation for polar 230 Parabola, constructions 161—163 Parabola, cubical and semicubical 164—165 317 Parabola, definition 223 Parabola, directrix of 223 Parabola, focus of 161 Parabola, higher degree 163—165 Parabola, parameter of 160 Parabola, sub-tangent, sub-normal 162 Parabola, theorems 161—162 223 Parabola, vertex and vertex tangent of 160
Ðåêëàìà
- matrix 
|
|
Î ïðîåêòå