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Polyanin A., Manzhirov A.V. — Handbook of Mathematics for Engineers and Scientists
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Название: Handbook of Mathematics for Engineers and ScientistsАвторы: 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.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2006Количество страниц: 600Добавлена в каталог: 30.06.2008Операции: Положить на полку |
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Parallelepiped, rectangular 62 Parallelogram 52 Parallelogram rule 113 Parameter of ellipse 98 Parameter of hyperbola 102 Parameter of integral equation 829 Parameter of plane, polar 127 Parameter, variable 87 Parametric curves 387 Parametric equations of circle 98 Parametric equations of curve 87 Parametric equations of curve on plane 87 Parametric equations of plane 125 Parametric equations of straight line in space 131 Parametric equations of straight line on plane 91 Parametric hypothesis 1094 Parametric method for defining curve 123 Parametric method for defining surface 123 Parametrized surface 387 Parseval identity 361 Part of Laurent series 412 Partial derivative 264 Partial differential equation of diffusion boundary layer 1276 Partial differential equation of gas dynamics, model 558 Partial differential equation of minimal surfaces 770 Partial differential equation of steady transonic gas flow 1324 Partial differential equation of thermal boundary layer 1276 Partial differential equation of transonic gas flow 1324 Partial differential equation of vibration of string 1278 Partial differential equation, biharmonic 1297 Partial differential equation, biharmonic, homogeneous 1297 Partial differential equation, biharmonic, nonhomogeneous 1298 Partial differential equation, Born — Infeld 659 Partial differential equation, Boussinesq 709 1332 Partial differential equation, Burgers 664 666 751 1307 Partial differential equation, Burgers — Korteweg — de Vries, generalized 709 Partial differential equation, Burgers, radial symmetric case 1307 Partial differential equation, Clairaut 1262 Partial differential equation, continuity 784 Partial differential equation, diffusion, linear see “Heat equation linear” Partial differential equation, diffusion, nonlinear with cubic source 753 Partial differential equation, elliptic 585 588 590 1284 Partial differential equation, evolution, second-order 739 Partial differential equation, first-order, quasilinear 553 Partial differential equation, Fisher 1301 Partial differential equation, Fitzhugh — Nagumo 1302 Partial differential equation, Hamilton — Jacobi 576 Partial differential equation, heat with axial symmetry 1270 Partial differential equation, heat with central symmetry 1272 Partial differential equation, heat, linear 585 1267 Partial differential equation, heat, linear, nonhomogeneous 1268 Partial differential equation, heat, nonlinear 1318 Partial differential equation, heat, stationary anisotropic 1323 Partial differential equation, heat, stationary with nonlinear source 1320 Partial differential equation, Helmholtz 1289 Partial differential equation, Helmholtz, three-dimensional 600 Partial differential equation, Helmholtz, two-dimensional 599 Partial differential equation, hyperbolic 585 587 590 Partial differential equation, hyperbolic, first canonical form 587 Partial differential equation, hyperbolic, normal 590 Partial differential equation, hyperbolic, second canonical form 587 Partial differential equation, Jacobi 998 1004 1007 Partial differential equation, Khokhlov — Zabolotskaya 658 Partial differential equation, Khokhlov — Zabolotskaya, stationary 1322 Partial differential equation, Klein — Gordon 618 625 1280 Partial differential equation, Klein — Gordon, linear 625 Partial differential equation, Klein — Gordon, nonlinear 702 1315 Partial differential equation, Klein — Gordon, two-dimensional 618 Partial differential equation, Korteweg — de Vries 752 756 759 1327 Partial differential equation, Korteweg — de Vries, cylindrical 1328 Partial differential equation, Laplace, three-dimensional 643 Partial differential equation, Laplace, two-dimensional 585 633 1284 Partial differential equation, linear, constant-coefficient 588 Partial differential equation, Liouville 664 Partial differential equation, model of gas dynamics 1254 Partial differential equation, Monge — Ampere 1326 Partial differential equation, Monge — Ampere, homogeneous 668 1326 Partial differential equation, Monge — Ampere, nonhomogeneous 1326 Partial differential equation, Newell — Whitehead 733 Partial differential equation, nonlinear, first-order 570 Partial differential equation, parabolic 585 586 590 Partial differential equation, parabolic in narrow sense 590 Partial differential equation, Poisson 1287 Partial differential equation, Poisson, three-dimensional 599 Partial differential equation, Poisson, two-dimensional 599 Partial differential equation, Schrodinger of general form 1311 Partial differential equation, Schrodinger with cubic nonlinearity 1309 Partial differential equation, Schrodinger with power-law nonlinearity 1310 Partial differential equation, Schrodinger, linear 1276 Partial differential equation, Schrodinger, nonlinear 759 1309 Partial differential equation, second-order, nonlinear 653 Partial differential equation, second-order, quasilinear 654 Partial differential equation, second-order, semilinear 653 Partial differential equation, sine — Gordon 1314 Partial differential equation, sinh — Gordon 1314 Partial differential equation, telegraph 1284 Partial differential equation, telegraph, generalized 626 Partial differential equation, ultrahyperbolic 590 Partial differential equation, vibration with axial symmetry 1282 Partial differential equation, wave 585 1278 Partial differential equation, wave, nonlinear 723 1312—1317 Partial differential equation, wave, three-dimensional 618 Partial differential equation, wave, two-dimensional 618 Partial differential equations, first-order 553 1247 Partial differential equations, first-order, linear 553 1247 Partial differential equations, first-order, nonlinear 570 1258 Partial differential equations, first-order, quasilinear 553 1252 Partial differential equations, fourth-order, linear 1294—1298 Partial differential equations, fourth-order, nonlinear 1332—1334 Partial differential equations, nonlinear 653—769 1301—1335 Partial differential equations, nonlinear systems 770—798 1337—1341 1343—1382 Partial differential equations, second-order, linear 585—650 1267—1299 Partial differential equations, second-order, linear, classification 585 Partial differential equations, second-order, nonlinear, classification 653 654 Partial differential equations, third-order, nonlinear 1327—1331 Partial fraction decomposition of rational function 276 Partial increments 264 Partial increments of function 264 Partial limit of sequence 240 Partial sum of series 337 Particular solution 599 Partition diameter 317 path integral 329 Payoff matrix 1024 Payoff matrix, saddle point 1025 PDE see “Partial differential equation” Peano existence theorem for system of ODEs 543 Pearson first skewness coefficient 1045 Pearson test 1100 Penalty function 1027 Penalty function method 1027 Pencil 92 Pencil of planes 131 Pencil of straight lines 92 Pencil, center 92 Percentage 7 Percentage, simple 7 percentile 1045 Periodic function 236 Permutation 178 Permutation groups 226 Permutation, even 178 Permutation, odd 178 permutations 1033 1034 Permutations with repetitions 1034 Perpendicular bisector 46 Perturbation methods 499 Peterson — Codazzi formulas 396 397 Pexider equation 925 1438 Pfaffian equation 772 Pfaffian equation integrating factor 773 Phase plane 546 Phase variable 546 1010 Physical meaning of line integral of second kind 331 Picard method 469 Pivot column 1016 Pivot entry 1016 Pivot row 1016 Plane 124 Plane curves 367 Plane geometry 43 Plane in space 124 Plane incomplete equation 124 Plane intercept equation 125 Plane polygon 51 Plane triangle 43 Plane, complex 401 Plane, condition for planes to be parallel 138 Plane, condition for planes to be perpendicular 138 Plane, condition for planes to coincide 138 Plane, coordinate axes 78 Plane, coordinate system 78 Plane, curve 84 Plane, deviation of point from plane 141 Plane, general (complete) equation 124 Plane, normal 380 382 Plane, normalized equation 126 Plane, osculating 381 Plane, parametric equation 125 Plane, phase 546 Plane, principal 151 Plane, rectifying 382 Plane, tangent 268 381 389 Plane, tangent to surface 152 Planes in space 59 Planes, parallel 59 Player 1024 Pochhammer symbol 938 Poincare type series, asymptotic 363 Point estimators 1088 Point incenter 46 Point of affine space 189 Point of extremum 257 269 Point of intersection of straight lines 95 Point of local minimum 269 Point of osculation 372 Point of rectification 382 Point of self-intersection 372 Point of tangency 56 Point transformation 455 Point transformation, for ODEs 455 Point transformation, for PDEs 655 Point, applicate 115 Point, asymptotic 373 Point, at infinity 402 Point, at infinity, neighborhood 402 Point, boundary of domain 401 Point, characteristic 377 Point, circular 393 Point, conjugate 998 1000 1004 1007 Point, coordinates 79 115 Point, derivative of function 402 Point, deviation from line 93 Point, deviation from plane 141 Point, double 371 Point, elliptic 394 Point, Feuerbach 49 Point, fixed 908 Point, Gergonne 47 Point, hyperbolic 394 536 Point, isolated 371 Point, movable critical 495 Point, Nagel 47 Point, on complex plane 402 Point, on plane 89 Point, parabolic 394 Point, ramification 414 Point, regular 367 379 387 Point, saddle 394 Point, saddle of payoff matrix 1025 Point, singular 371 391 Point, singular of generalized solution 580 Point, spiral stable 537 Point, spiral unstable 537 Point, stationary 220 269 545 Point, termination 373 Point, transcendental branch 415 Point, transition 477 Point, triple 371 Point, umbilical 393 Point-slope equation of straight line 89 Points, collocation 848 Points, nonseparated by straight line 97 Points, separated by straight line 97 Pointwise convergence of functional series 348 Pointwise convergence of functions 249 Poisson distribution 1050 Poisson equation 1287 Poisson formula for Bessel function 949 Poisson formula in probability theory 1038 Poisson integral 428 1287 Poisson integral, for half-plane 429 Poisson process 1076 Poisson theorem 428 1070 polar 112 Polar angle 80 Polar axis 80 Polar bilinear form 216 Polar coordinate system 80 Polar coordinates 80 1198 Polar decomposition of linear operator 208 Polar decomposition of matrices 173 Polar kernel 801 825 Polar parameter of plane 127 Polar radius 80 Pole 80 413 Pole, order 413 Pole, simple 413 Polygon 51 Polygon inscribedincircle 51 Polygon interior angle 51 Polygon, center 55 Polygon, circumscribed about circle 51 Polygon, convex 51 Polygon, distribution 1085 Polygon, edge 51 Polygon, external angle 51 Polygon, frequency 1085 Polygon, plane 51 Polygon, relative frequency 1085 Polygon, side 51 Polygon, simple 51 Polygon, vertex 51 Polyhedra 61 Polyhedral angle 60 Polyhedral angle, edge 61 Polyhedral angle, face 60 Polyhedral angle, vertex 60 Polyhedral angles, congruent 61 Polyhedral angles, symmetric 61 Polyhedron 61 Polyhedron, convex 61 Polyhedron, edge 61 Polyhedron, face 61 Polyhedron, vertex 61 Polynomial 155 Polynomial interpolation 186 Polynomial with matrix argument 172 Polynomial with matrix coefficients 172 Polynomial, annihilating 186
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