Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Polyanin A., Manzhirov A.V. — Handbook of Mathematics for Engineers and Scientists
Polyanin A., Manzhirov A.V. — Handbook of Mathematics for Engineers and Scientists



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Handbook of Mathematics for Engineers and Scientists

Авторы: Polyanin A., Manzhirov A.V.

Аннотация:

The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible.

Organized in ascending order of complexity, the material is divided into two parts. The first part is a coherent survey of the most important definitions, formulas, equations, methods, and theorems. It covers arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, special functions, calculus of variations, and probability theory. Numerous specific examples clarify the methods for solving problems and equations. The second part provides many in-depth mathematical tables, including those ofexact solutions of various types of equations.

This concise, comprehensive compendium of mathematical definitions, formulas, and theorems provides the foundation for exploring scientific and technological phenomena.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2006

Количество страниц: 600

Добавлена в каталог: 30.06.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Quadratic mean      13
Quadratic mean of functions      297
Quadratic nonlinearity      865
Quadratic programming      1027
Quadrature formula      808 860
Quadrature method, for integral equations      852 861 870
Quadrature nodes      808
Quadric invariant      148
Quadric surfaces      143
Quadric, canonical equations      143
Quadric, canonical form      143 148
Quadric, classification      148
Quadric, general equation      148
Quadric, general theory      148
Quadric, semi-invariant      148
Quadrilaterals      52
quartile      1045
Quasidiagonal canonical form of matrix      182
Quasilinear equations in conservative form      567
Quasilinear partial differential equations      553
Quotient      155
Quotient group      227
Quotient of complex numbers      399
Raabe convergence criterion for series      339
Radian      24
Radiation conditions      1290 1291
Radical      8
Radius of convergence      351
Radius of convergence of power series      411
Radius of curvature      376 384
Radius of torsion      385
Radius, focal left      99 102
Radius, polar      80
Ramification point      414
Random event      1031 1032
Random sampling with replacement      1034
Random sampling without replacement      1033
Random sequence      1072
Random variable      1039 1057
Random variable initial moment      1060 1065
Random variable, bivariate      1060
Random variable, central moment      1065
Random variable, continuous      1040 1042 1064
Random variable, continuous bivariate      1059
Random variable, discrete      1039 1042 1064
Random variable, discrete bivariate      1058
Random variable, expected value      1042
Random variable, symmetric      1041
Random variable, symmetric about expected value      1041
Random variable, variance      1044
Random variables independent      1060 1067
Random variables, correlated      1061
Random variables, joint distribution function      1057
Random variables, uncorrelated      1061
Random vector      1057
Range of function      236
Range of linear operator      205
Range of mapping      226
Range, sample      1082
Rank of bilinear form      215
Rank of linear operator      206
Rank of matrix      178
Rank of quadratic form      216
Rankine — Hugoniot jump conditions      561 568 790 791
Rarefaction wave      559 785 1253
Rate, false negative      1096
Rate, false positive      1095
Ratio, common      11
Ratio, contraction      403
Ratio, dilatation      403
Ratio, likelihood      1097
Ratio, Romanovskii      1101
Ratio, Student      1090
Rational function      276
Rational numbers      4 5
Rational polynomial function      276
Rayleigh — Ritz principle      484 513
Real axis      235 401
Real axis of hyperbola      101
Real Euclidean space      192
Real linear space      188
Real matrix      171
Real number      3 4
Real number, multiplicative inverse      6
Real number, reciprocal      6
Real part      399
Real semiaxes of hyperbola      102
Real semiaxes of one-sheeted hyperboloid      144
Real semiaxes of two-sheeted hyperboloid      144
Real-valued function of real variable      236
Reciprocal (algebraic) equation      160 161
Reciprocal functional equation      919
Reciprocal of real number      6
Rectangle rule      315 808
Rectangle rule, for computation of integrals      315
Rectangular Cartesian coordinate system      78 114
Rectangular Cartesian coordinates on plane      78
Rectangular matrix, minor      177
Rectangular parallelepiped      62
Rectangular spherical triangle      72
Rectification, point      382
Rectifying plane      382
Reduced cost      1015
Reducible operator      205
Reducible representation      230
Reduction formulas      1145
Reduction formulas, for trigonometric functions      27
Reduction of central second-order curves to canonical form      110
Reduction of noncentral second-order curves to canonical form      110
Reduction of quadratic form to sum of squares      219
Reduction of square matrix to diagonal form      184
Reduction of square matrix to triangular form      184
Reflectance      760
Reflection coefficient      760
Reflection factor      760
Regime, blow-up      1303 1304
Regime, critical      1095
Regime, feasible      1012
Regression      1063 1066
Regression analysis      1105
Regression coefficient      1063
Regression function      1063 1066
Regression, mean-square      1063 1066
Regula falsi method      262
Regular arc      379
Regular extremal      995
Regular part of Laurent series      412
Regular point      367 379 387
Regular point of extremal      995
Regular point of generalized solution      580
Regular point of plane curve      367
Regular point of space curve      379
Regular polygon      55
Regular polygon, center      55
Regular polyhedron      65
Regular prism      62
Regular pyramid      64
Regular triangle      43 51
Regular value      829 834
Regularization methods for integral equations      827
Relation, Parseval for Fourier cosine transform      445
Relation, Parseval for Fourier sine transform      446
Relation, Parseval for Hankel transform      447
Relative extrema      991
Relative frequencies      1083
Relative frequency histogram      1086
Relative frequency of event      1083
Relative frequency polygon      1085
Remainder in Taylor formula in form of Cauchy      257
Remainder in Taylor formula in form of Lagrange      257
Remainder in Taylor formula in form of Peano      257
Remainder in Taylor formula in form of Schlomilch and Roche      257
Remainder in Taylor formula in integral form      257
Remainder of functional series      349
Remainder of series      337
Removable singularity      413
Renewal equation      1395
Representation basis      230
Representation invariant      230
Representation of group, completely reducible      231
Representation of quadratic form canonical      217
Representation of vector in terms of basis      189
Representation space      230
Representation, dimension      230
Representation, irreducible      231
Representation, reducible      230
Representation, triangular      201
Residual      847 1066
Residual standard deviation      1063
Residual variance      1066 1108
Residue      415 435
Residue, logarithmic      416
Resolvent      810 823 829 833
Resolvent of symmetric kernel      839
Resonance, Painleve test      749
Rhombus      53
Riccati difference equation      875 918 1428 1429
Riccati differential equation      460
Riccati differential equation, for system of PDEs      785
Riccati differential equation, general      461 462 1209 1210
Riccati differential equation, polynomial solutions      460
Riccati differential equation, reduction to canonical form      460
Riccati differential equation, reduction to second-order linear equation      461
Riccati differential equation, special      1208
Riemann function      628 629 783
Riemann integral      286
Riemann invariant      783 786 787
Riemann localization principle      358
Riemann problem      785
Riemann property      294
Riemann sum      286
Riemann Theorem      419
Riemann wave      782
Riemann — Schwarz theorem      426
Riemannian space      395
Right arm of hyperbola      101
Right circular cone      68 145
Right circular cylinder      66
Right coset      227
Right cylinder      66
Right directrix of ellipse      99
Right directrix of hyperbola      102
Right ellipsoid      145
Right focal radius      99 102
Right focus of ellipse      99
Right focus of hyperbola      102
Right half-plane      79
Right inverse matrix      171
Right prism      62
Right rectangular Cartesian coordinate system      79
right triangle      43 50
Right triangle, leg      50
Right-angled triangles      43 50
Right-hand limit      240
Right-hand side of integral equation      810
Right-handed trihedral      121
Rolle theorem      254
Romanovskii ratio      1101
Romanovskii statistic      1101
Romanovskii test      1101
Root mean square      13
Root of complex number      399
Root of equation      162
Root of multiplicity m      162
Root of operator      207
Root-finding algorithms for continuous functions      260
Root-mean-square deviation      1045
Rotation of axes      79
Rotation transformation      656
Rouche theorem      413
Round cylinder      66
Round cylinder, segment      67
Routh — Hurwitz criterion      167
Row expansion of determinant      176
Row vectors      167
Row vectors, linear combination      171
Row vectors, linearly dependent      171
Row vectors, linearly independent      171
Row, pivot      1016
Rows, basic      165
Rule of closing chain of vectors      113
Rule, Cramer      199
Rule, Lagrange multiplier      1002
Rule, parallelogram      113
Rule, rectangle      315 808
Rule, sigma      1054
Rule, Simpson      315 808
Rule, trapezoidal      315 808
Rule, triangle      113 176
Rule, Whitham, “equal areas”      562
Ruled surface      146
Rules, Neper      75
Rulings      146
Rulings of ruled surfaces      146
Runge — Kutta method      472 512
Saddle      536
Saddle point      394
Saddle point of payoff matrix      1025
Sample      1082
Sample, asymmetry coefficient      1088
Sample, central moment      1087
Sample, correlation      1104
Sample, distribution function      1084
Sample, excess coefficient      1088
Sample, function      1072
Sample, mean      1087
Sample, mean square deviation      1088
Sample, moment      1087
Sample, range      1082
Sample, size      1082
Sample, space      1031
Sample, variance      1088
Sample, variance adjusted      1088
Sampling, random with replacement      1034
Sampling, random without replacement      1033
Sapogov convergence criterion for series      340
Sarrus scheme      176
scalar      187
Scalar product      192
Scalar product of vectors      120
Scalar square      120
Scalar triple product of vectors      123
Scale segment      77
Scalene ellipsoid      144
Scalene triangle      43
Scaling transformation      656 676 923
Scattering data      761
Scheme, Bernoulli      1037
Scheme, Cole — Kevorkian      504
Scheme, Horner      156
Scheme, Sarrus      176
Scheme, Van der Pol — Krylov — Bogolyubov      503
Schlicht mapping      402
Schlomilch equation      1400
Schroder — Koenigs functional equation      911
Schrodinger equation with cubic nonlinearity      1309
Schrodinger equation with power-law nonlinearity      1310
Schrodinger equation, linear      1276
Schrodinger equation, nonlinear of general form      1311
Schwarz analytic continuation principle      426
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте