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Rektorys K. — Survey of Applicable Mathematics.Volume 2.
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Название: Survey of Applicable Mathematics.Volume 2.Автор: Rektorys K. Аннотация: 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.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: 2ndГод издания: 1994Количество страниц: 978Добавлена в каталог: 30.08.2014Операции: Положить на полку |
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Предметный указатель
Normal vector to surface I 312 Normalized transfer of boundary conditions II 523 Normed element II 335 Normed function I 670 Normed function with weight I 672 Normed space II 331 Null vector I 225 Numbers, complex I 9 Numbers, Complex, conjugate I 10 Numbers, Complex, imaginary, pure I 10 Numbers, irrational I 5 Numbers, natural I 2 Numbers, rational I 3 Numbers, real I 4 Numerical calculation of matrix eigenvalues II 630 ff Numerical integration I 555 ff Numerical methods for solving, elliptic differential equations II 409 ff II Numerical methods for solving, hyperbolic differential equations II 467 ff II Numerical methods for solving, ordinary differential equations II 483 ff II Numerical methods for solving, parabolic differential equations II 463 ff II Numerical methods in linear algebra II 594 ff Numerical quadrature I 555 Numerical solution of algebraic and transcendent equations II 648 ff Numerical solution of algebraic and transcendent equations, basic properties II 648 Numerical solution of algebraic and transcendent equations, connection of roots with matrix eigenvalues II 652 Numerical solution of algebraic and transcendent equations, estimates for roots II 649 Numerical solution of algebraic and transcendent equations, methods for solving nonlinear systems II 662 Obelisk, volume and centroid of I 106 Objective function II 823 Oblate spheroid I 110 I Oblique trajectories II 36 Observations II 736 Observations, Calculus of II 778 Observations, frequency of II 741 One-parameter family of plane curves, envelopes of I 292 ff One-parameter family of surfaces, envelopes of I 317 One-step method, general II 489 One-to-one, correspondence I 46 I I II One-to-one, operator II 345 Open circle II 320 Open disc II 320 Open interval I 359 Open set II 320 Open sphere II 322 Operating characteristic II 792 Operating characteristic curve II 792 Operational calculus see "Integral transforms" Operational calculus, Heaviside II 570 Operator(s) II 344 see Operator(s) in Hilbert space II 352 ff Operator(s), absolutely continuous II 351 Operator(s), adjoint II 79 II II II Operator(s), bijective II 345 Operator(s), bounded II 347 II II Operator(s), coercive II 372 Operator(s), compact II 351 Operator(s), completely continuous II 351 Operator(s), continuous II 347 Operator(s), domain of definition of II 345 Operator(s), eigenvalue of II 81 II II Operator(s), extension of II 349 Operator(s), identity II 355 Operator(s), injective II 345 Operator(s), inverse II 345 Operator(s), linear II 347 Operator(s), monotone II 372 Operator(s), monotone, strictly II 372 Operator(s), norm of II 348 Operator(s), one-to-one II 345 Operator(s), positive II 354 II Operator(s), positive, definite II 204 II II II Operator(s), potential II 371 Operator(s), self-adjoint II 79 II II II Operator(s), simple (univalent) II 345 Operator(s), strictly monotone II 372 Operator(s), surjective II 344 Operator(s), symmetric II 359 Operator(s), unbounded II 358 ff Operator(s), vector analysis I 234 ff Optimal feasible point II 824 Optimal problems see "Linear programming" Order of eigenvalue II 84 II Order of quadrature formula I 555 Order of tensor I 247 Ordering of integers I 3 Ordering of real numbers I 5 Ordinary point (differential geometry) I 306 Ordinary point (function of complex variable) II 264 Orientation I 174 Orientation, positive and negative sense I 174 I Orientation, right-handed and left-handed I 196 Oriented curve I 599 Oriented projection of surface I 609 Oriented straight line I 174 Oriented surface I 609 Origin of coordinate system I 167 I Original to an element of a set I 46 Original to an image II 344 II Orthogonal conjugate net on surface I 331 Orthogonal elements in Hilbert space II 335 Orthogonal functions I 669 Orthogonal functions in generalized sense II 84 Orthogonal invariants I 215 Orthogonal matrix I 52 Orthogonal projection in Hilbert space II 335 Orthogonal system in Hilbert space II 335 II Orthogonal trajectories I 36 Orthogonal trajectories of one-parameter family of curves I 304 Orthogonal trajectories of tangents to a curve I 297 Orthogonality of a straight line and a plane I 208 Orthogonality of two planes I 202 Orthogonality of two straight lines I 176 I Orthonormal basis II 338 II Orthonormal function system I 670 Orthonormal function system with weight function I 672 Orthonormal system in Hilbert space II 335 II Oscillating, series II 334 Oscillations, aperiodic motion I 159 Oscillations, curves of I 156 ff Oscillations, damped, critical I 159 II Oscillations, damped, forced I 161 II Oscillations, damped, free I 158 II Oscillations, damped, supercritical I 159 II Oscillations, harmonic I 157 II Oscillations, logarithmic decrement I 160 Oscillations, resonance curve I 158 Oscillations, transient I 162 Oscillations, undamped (continuous) I 156 II Oscillations, undamped (continuous), forced I 157 II Oscillations, undamped (continuous), free I 156 II II Oscillatory solutions of linear differential equations II 47 Osculating, circle I 285 Osculating, circle, of vertex of ellipse I 118 Osculating, curves I 183 ff Osculating, plane I 271 Outer measure I 560 Outer product of vectors I 229 Pappus rules I 633 Parabola, as conic section I 189 Parabola, as conic section, equation for polar I 192 Parabola, constructions I 123 ff Parabola, cubical and semicubical I 126 I Parabola, cubical and semicubical, definition I 185 Parabola, directrix of I 185 Parabola, focus of I 123 Parabola, higher degree I 125 Parabola, parameter of I 122 Parabola, sub-normal I 124 Parabola, sub-tangent I 124 Parabola, theorems I 123 I Parabola, vertex and vertex tangent of I 122 Parabolic equations II 172 II Parabolic moments of inertia of I 104 Parabolic point I 326 Parabolic segment, area and centroid of I 103 Paraboloid of revolution, volume, surface area, centroid, moment of inertia I 111 Paraboloid, elliptic and hyperbolic, canonical and transformed equations I 217 Paraboloid, elliptic and hyperbolic, theorems I 212 Parallel, areas theorem I 633 Parallel, axes theorem I 633 Parallel, curves I 296 Parallel, planes I 203 Parallel, straight lines I 175 I Parallel, vectors I 227 Parallelepiped I 104 Parallelism, condition for, line and plane I 200 Parallelism, condition for, two straight lines I 175 I Parallelogram, geometrical formulae I 97 PARAMETER I 180 Parameter in integral I 534 ff Parameter of parabola I 122 Parameter, admisible transformation of I 264 Parametric equations of circle I 181 Parametric equations of curve in plane I 180 Parametric equations of straight line I 170 I Parametric variational problems II 403 Parseval equality I 675 II II Partial derivatives I 406 Partial sum of series I 343 II II Particular integral II 3 Partition of domain II 430 Pascal limacon I 153 Path of stochastic process II 707 Pedal curve I 303 Pencil of lines I 173 Pencil of planes I 203 percentile II 700 Periodic solutions of differential equations II 49 Periodogram II 819 Permutations and combinations I 17 I Perpendicularity, conditions for, line and plane I 208 Perpendicularity, conditions for, two planes I 202 Perpendicularity, conditions for, two straight lines I 176 I Pfaffian equation II 202 Phase displacement I 156 Picard approximation II 488 Piecewise, continuous function I 405 II Piecewise, smooth, curve I 260 I Piecewise, smooth, function I 405 II Piecewise, smooth, surface I 305 I Pivot II 507 II Pivoting II 507 II II Plane of complex numbers II 243 Plane of complex numbers, closed II 243 Plane of complex numbers, completed II 243 Plane of complex numbers, extended II 243 Plane, affine transformation of I 190 Plane, curves, approximate constructions for I 165 Plane, curves, asymptotes of I 288 Plane, curves, asymptotic points on I 302 Plane, curves, constructions for I 112 ff Plane, curves, definition of I 263 I Plane, curves, envelopes of one-parameter family of I 202 ff Plane, curves, explicit and implicit equations of I 264 Plane, curves, regular (ordinary) points of I 264 Plane, curves, singular points of I 261 I I Plane, curves, subtangent, and subnormal of I 276 Plane, figures, application of integral calculus I 621 Plane, problem of elasticity II 203 Planes, bisection of angles beetween two intersecting I 204 Planes, bundle (star) of I 204 Planes, pencil (sheaf) of I 203 Plate, clamped, deflection of II 205 Plate, simply supported, deflection of II 543 Plemelj formulae II 257 Plueker conoid I 224 Pluriharmonic functions II 284 Point of accumulation II 310 II Point of continuability II 277 Point of indetermination II 288 Point of inflection I 272 I I Point of inflection, ordinary, of first order I 284 Point of intersection of two straight lines I 172 I Point of self-tangency of curves I 291 Point, contact of curves II 272 Point, convergence, of sequence of functions I 637 Point, convergence, of series of functions I 641 Poisson, differential equation II 174 Poisson, integral II 184 Polar coordinates I 178 Polar coordinates in solid analytic geometry I 196 Polar coordinates, generalized I 588 Polar coordinates, plane curves, representation in I 180 I Polar coordinates, relation with cartesian coordinates I 179 Polar coordinates, semi-axis (initial line) I 178 Polar line I 288 Polar nets I 550 Polar sub-tangent I 137 Pole of f(z) II 267 Pole of f(z), double II 267 Pole of f(z), of order fc II 267 Pole of f(z), simple II 267 Pole of polar coordinates I 178 Polhodes, moving and fixed I 127 Polycylinder II 278 Polycylinder with vectorial radius II 279 Polydisc II 278 Polydisc with vectorial radius II 279 Polygon, area of I 169 Polygon, conformal mapping of upper halfplane on II 302 II Polygon, regular, geometrical elemets of I 98 Polynomial(s) I 20 ff I Polynomial(s) of best uniform approximation II 669 Polynomial(s), Chebyshev I 711 II Polynomial(s), degree, definition I 20 Polynomial(s), divisor, definition I 20 Polynomial(s), Hermite I 712 II II Polynomial(s), Hermitiam form I 62 Polynomial(s), Horner method (scheme) I 22 Polynomial(s), interpolation II 675 Polynomial(s), Jacobi I 711 Polynomial(s), Laguerre I 712 II Polynomial(s), Legendre I 705 II II Polynomial(s), linear factor of I 21 Polynomial(s), product and quotient I 20 Polynomial(s), quadratic forms I 62 Polynomial(s), real coefficients, with I 22 Polynomial(s), regression II 769 II Polynomial(s), roots of I 21 II Polynomial(s), sum of I 20 Polynomial(s), time algorithm II 863 Polynomial(s), zero I 20 Position vector I 226 Positive definite matrix I 67 II Positive definite operator II 354 II Positive eigenvalue problem II 82 Positive half line I 174 Positive homogeneous function II 403 Positive numbers I 3 Positive operator II 354 II Positive problems II 82 Positive sense of orientation I 174 I Positive sense of orientation of curve with respect to region I 599 Potential of double layer II 184 Potential of single layer II 184 Potential, equation II 539 Potential, flow II 299 Potential, logarithmic II 176 Potential, operator II 371 Potential, vector field I 233
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