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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
Hamilton, nabla operator I 234 Hankel, functions I 702 Hankel, transform II 568 Harmonic functions II 175 II Harmonic functions, properties of II 177 II II Harmonic motion, simple I 156 Harmonic oscillation curves I 156 Harmonic process II 813 II Harmonic series I 344 Harmonic set of four poits I 191 Harmonic vibrations II 131 Harmonic, analysis I 691 Harmonics, spherical I 708 ff Harnack theorems, first and second II 180 Hartley method II 780 Hausholder method II 641 Hazard rate II 787 II Heat conduction equation II 197 II II II II II II Heat conduction equation in infinite cylinder II 542 Heat conduction equation in rectangular regions II 540 Heat conduction equation, Bessel functions applied to II 542 Heat conduction equation, stationary II 539 Heat potentials II 200 Heaviside operational calculus II 570 Heine continuity definition I 367 Helicoid I 223 I Helix, axis I 273 Helix, circular I 273 Helix, cylindrical I 207 Helix, slope of gradient I 274 Hermite, differential equation I 712 II Hermite, interpolation II 676 Hermite, polynomials I 712 II Hermite, spline II 687 Hermitian forms I 62 ff Hermitian forms, congruent I 68 Hermitian matrices I 68 Heron formula I 80 I Heun method II 493 Hexagonal nets II 550 Higher degree, hyperbolas I 125 Higher degree, parabolas I 125 Hilbert kernel II 238 Hilbert matrix II 611 Hilbert space II 334 II Hilbert space, operators in II 352 ff Hilbert space, operators in, bounded II 352 ff Hilbert space, operators in, unbounded II 358 ff Hilbert — Schmidt theorem II 233 histogram II 744 Hoelder condition II 255 II Hoelder inequality I 8 I Holomorphic functions II 247 Holomorphic functions of several complex variables II 283 Holomorphic functions singular points II 267 Holomorphic mapping II 288 Holomorphic relativistic field II 280 II Homeomorphic image of sphere II 322 Homogeneous, coordinates I 187 Homogeneous, functions I 416 Homogeneous, functions, Euler theorem I 416 Homogeneous, linear differential equations II 18 II Homographic mapping II 291 Horizontal method of lines II 215 Horner scheme (method) for polynomials I 22 Hull complete II 410 Hurwitz, matrix II 114 Hurwitz, polynomial II 114 Hurwitz, test II 114 Hyperbola I 119 ff I Hyperbola as conic section I 189 Hyperbola, asymptotes of, and their directions I 121 Hyperbola, branches I 119 Hyperbola, conjugate I 185 Hyperbola, conjugate diameter I 121 Hyperbola, constructions I 119 ff Hyperbola, excentricity I 119 I Hyperbola, focal radius I 119 Hyperbola, higher degree I 125 Hyperbola, polar, equation for I 192 Hyperbola, rectangular I 185 Hyperbola, segment area I 103 Hyperbola, standard equation for I 184 Hyperbola, theorems I 119 ff Hyperbolic equations II 172 II Hyperbolic equations, generalized solution II 194 Hyperbolic functions I 90 ff Hyperbolic functions, inverse I 92 ff Hyperbolic functions, relations between I 91 ff Hyperbolic paraboloid I 213 Hyperbolic point I 326 Hyperbolic regression II 769 Hyperbolic spiral I 138 Hyperboloid(s) of one and two sheets I 210 Hyperboloid(s) of one and two sheets, canonical and transformed equations I 216 Hyperboloid(s) of revolution I 210 Hyperboloid(s), asymptotic cone of two I 214 Hyperelliptic integrals I 551 Hypergeometric functions I 710 II II Hypergeometric Gauss equation I 710 II II Hypergeometric series I 710 II II Hypersingular integral II 472 Hypersurface II 392 Hypocycloids I 130 Hypocycloids, simple, astroid I 134 Hypocycloids, Steiner I 133 Hypothesis, null and alternative II 755 hypothesis, statistical II 755 Hypothesis, testing II 755 ff Ideal elements (in completion of metric space) II 327 Identity, element of group I 47 Identity, matrix I 50 II II Identity, operator II 355 Identity, theorem II 275 II Image of element II 344 Image of element in integral transforms II 567 Imaginary, axis I 11 Imaginary, lines, forming conic section I 189 Imaginary, part of complex number I 10 Implication I 2 Implicit, Euler method II 466 Implicit, function I 423 I Implicit, function, geometrical interpretation I 424 Implicit, function, theorems on I 423 ff Implicit, scheme II 560 Improper integrals I 522 ff Improper integrals, double and triple I 504 Improper integrals, involving parameter I 534 Incomplete factorization II 624 Indefinite integrals I 448 Indefinite integrals, tables of I 470 Indefinite integrals, tables of, irrational functions I 478 ff Indefinite integrals, tables of, rational functions I 470 ff Indefinite integrals, tables of, transcendental functions I 503 ff Indefinite integrals, tables of, transcendental functions, exponential I 505 ff Indefinite integrals, tables of, transcendental functions, hyperbolic I 503 ff Indefinite integrals, tables of, transcendental functions, inverse hyperbolic I 510 ff Indefinite integrals, tables of, transcendental functions, logarithmic I 506 ff Indefinite integrals, tables of, trigonometric functions containing, cosine I 404 ff Indefinite integrals, tables of, trigonometric functions containing, sine and cosine I 497 ff Indefinite integrals, tables of, trigonometric functions containing, sine only I 491 ff Indefinite integrals, tables of, trigonometric functions containing, tangent and cotangent I 501 ff Independent variable I 359 Indicatrix of Dupin I 330 Indicial equation II 70 Inequalities between real numbers I 6 ff Inequalities, basic rules of I 3 Inequalities, Cauchy, Hoelder, Minkonwski I 8 I Inertia, Sylvester law of I 67 Infimum I 5 Infinite products I 357 Infinite series of, constant terms I 343 ff Infinite series of, constant terms, convergence I 343 Infinite series of, constant terms, important formulae I 354 ff Infinite series of, constant terms, multiplication or product I 353 Infinite series of, functions I 641 ff II Influence function II 96 Initial conditions (differential equations) II 5 II II Initial line (polar coordinates) I 178 Initial point of vector I 226 Initial value problems in ordinary differential equations, solution by, general one-step methods II 489 ff Initial value problems in ordinary differential equations, solution by, linear k-step methods II 495 ff Initial value problems in ordinary differential equations, solution by, predictor-corector mothods II 506 ff Injective operator II 345 Inner measure of set I 560 Inner product II 333 inner product of functions I 663 Inner product of vectors I 228 Integer methods (in linear programming) II 863 Integers I 3 Integrability, Cauchy — Riemann I 513 I I Integrability, Lebesgue I 562 Integrability, Stieltjes I 568 Integral(s) in sense of principal value I 524 I II Integral(s) of abstract functions II 366 II Integral(s) of Cauchy type II 255 Integral(s) of functions of complex variable II 249 Integral(s) of ordinary differential equations II 3 Integral(s), able to be rationalized I 463 Integral(s), calculus, applications in geometry and physics I 616 ff Integral(s), calculus, of functions of one variable I 448 ff Integral(s), calculus, of functions of one variable, approximate evaluation of definite integrals I 555 Integral(s), calculus, of functions of one variable, basic (standard) integrals I 449 Integral(s), calculus, of functions of one variable, definite integrals I 512 ff I Integral(s), calculus, of functions of one variable, definite integrals, table I 541 ff Integral(s), calculus, of functions of one variable, indefinite integrals I 448 ff Integral(s), calculus, of functions of one variable, indefinite integrals, table I 470 ff Integral(s), calculus, of functions of one variable, integrals involving parameter I 534 ff Integral(s), calculus, of functions of one variable, Lebesgue and Stieltjes integration I 560 I Integral(s), calculus, of functions of one variable, methods of integration I 451 ff Integral(s), calculus, of functions of one variable, rational functions I 457 ff Integral(s), calculus, of functions of one variable, Riemann (Cauchy — Riemann) integration I 512 ff Integral(s), calculus, of functions of one variable, series expansions I 550 ff Integral(s), calculus, of functions of one variable, survey of some important formulae I 570 Integral(s), calculus, of functions of two or more variables I 576 I Integral(s), calculus, of functions of two or more variables, basic definitions and notation I 572 ff Integral(s), calculus, of functions of two or more variables, surface integrals I 609 ff Integral(s), calculus, of functions of two or more variables, survey of some important formulae I 634 Integral(s), Cauchy (of Cauchy type) II 255 Integral(s), convergent and divergent I 522 Integral(s), curve II 3 Integral(s), curvilinear I 599 ff Integral(s), curvilinear, along curve in space I 604 Integral(s), definite I 512 I I Integral(s), definite, table I 541 ff Integral(s), double I 576 ff Integral(s), elliptic I 551 Integral(s), equations II 220 ff II II Integral(s), equations, approximate solution of II 585 ff Integral(s), equations, Fredholm II 223 ff Integral(s), equations, in conformal mapping II 309 Integral(s), equations, nonlinear II 346 Integral(s), equations, of first, kind II 241 Integral(s), equations, of Fredholm type II 223 II Integral(s), equations, of second kind II 223 Integral(s), equations, of Volterra type II 240 Integral(s), equations, singular II 238 Integral(s), equations, with Cauchy kernel II 239 Integral(s), equations, with degenerate kernel II 228 Integral(s), equations, with Hilbert kernel II 238 Integral(s), equations, with symmetric kernel II 231 Integral(s), equations, with weak singularity II 238 Integral(s), hyperelliptic I 551 Integral(s), identity (elliptic problems) II 208 Integral(s), improper I 522 ff I Integral(s), indefinite I 448 ff Integral(s), indefinite, table I 470 ff Integral(s), involving parameter I 534 ff Integral(s), Legendre I 552 Integral(s), particular II 3 Integral(s), representation of Bessel functions I 694 Integral(s), series expansions I 550 Integral(s), singular II 11 II Integral(s), surface I 609 ff Integral(s), test, for convergence of series I 348 Integral(s), transforms II 567 ff Integral(s), transforms, applications II 570 ff Integral(s), transforms, Fourier, Hankel, Laplace, Laplace — Carson, Mellin II 568 ff Integral(s), transforms, fundamentally important results II 574 ff Integral(s), transforms, grammar for Laplace transform II 577 Integral(s), transforms, Laplace and Fourier, applied to solving differential equations II 570 ff Integral(s), transforms, one-dimensional finite II 584 Integral(s), transforms, tables II 578 ff Integral(s), transforms, two- and multi-dimensional II 581 II Integral(s), triple I 589 ff Integrating factor of differential equation II 24 Integration by differentiation with respect to parameter I 455 I Integration by parts I 451 I Integration by substitution I 453 I I I Integration in infinite interval I 527 Integration of Fourier series I 687 Integration of rational functions I 457 ff Integration of series with variable terms I 643 Integration, Cauchy — Riemann I 512 Integration, Lebesgue I 560 ff Integration, Riemann I 512 Integration, step II 483 Integration, Stieltjes I 567 Intercepts on axes of coordinates I 170 Interchange of limit and differentiation (integration) I 639 I I Interior diameter of surface I 609 Interior parameter, elimination of II 435 Interlacing solutions II 47 Interpolation II 665 Interpolation by splines II 684 Interpolation, approximation II 665 Interpolation, formula, Bessel II 681 Interpolation, formula, Gauss II 681 Interpolation, formula, Hermite I 677 Interpolation, formula, Lagrange II 676 Interpolation, formula, Newton II 678 II Interpolation, formula, Stirling II 681 Interpolation, polynomial II 675 Interpolation, polynomial, Hermite II 676 II Interpolation, polynomial, Lagrange II 676 Interpolation, trigonometric II 683 Intersection of 2 straight lines I 172 Intersection of sets I 45 Intersection of straight line with circle I 182 interval I 359 Interval of stability II 506 Invariant I 215 Invariant in differential equations II 68 Invariant, imbedding method II 524 Inverse, formula for spectral density II 816 Inverse, functions I 362 Inverse, functions, hyperbolic I 92 ff Inverse, functions, trigonometric I 86 ff Inverse, iteration II 644 Inverse, matrix I 50 II Inverse, operator II 345 inversion II 294 Inversion of a series I 647 Inversion of permutation I 17 Involute of catenary I 147 Involute of circle, constructions and theorems I 134 ff Involute of curve I 297 ff Involute, curtate and prolate I 135 Irrational numbers I 5 Irregular nets II 549
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