Авторизация
Поиск по указателям
Pipes L.A. — Applied Mathemattics for Engineers and Physicists
Обсудите книгу на научном форуме Нашли опечатку?
Название: Applied Mathemattics for Engineers and PhysicistsАвтор: Pipes L.A. Аннотация: There has been a great impetus given during the last few years to the application of mathematical analysis for the solution of technical problems. This interest in the use of mathematics by the technologist is a result. of the remarkable developments that have appeared in the various branches of engineering and physics as a result of close collaboration of theory and experiment in the research laboratories of industrial plants and elsewhere. A half a century ago, engineers regarded the differential and integral’calculus as a mystery beyond the reach of the majority. However, at present, the engineering student takes the calculus in his stride. The use of complex quantities in the solution of electrical and mechanical problems has brought the engineer to at least a superficial study of the rudiments of the complex variable. Other studies of the
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: 1st editionГод издания: 1946Количество страниц: 618Добавлена в каталог: 26.09.2009Операции: Положить на полку |
Скопировать ссылку для форума | Скопировать ID
Предметный указатель
Algebra, fundamental laws of 110 Algebra, fundamental laws of of operators 239 Algebra, fundamental laws of, fundamental theorem of 467 Algebra, fundamental laws of, matrix 191 Alternating currents 161 Analogues, table of 165 Beam, clamped, deflection of 218 Beam, clamped, deflection of, deflection of, by transverse forces 217 Beam, clamped, deflection of, on elastic foundation, deflection of 220 Beam, clamped, deflection of, vibration of 224 Beats 63 177 Ber and Bei functions 318 Bessel functions, expansion in series of 318 Bessel functions, expansion in series of for small values of argument 312 Bessel functions, expansion in series of of half an odd integer order 314 Bessel functions, expansion in series of of second kind 311 Bessel functions, expansion in series of of third kind 316 Bessel functions, expansion in series of, modified 317 Bessel functions, expansion in series of, recurrence formulas for 313 Bessel’s differential equation 307 Bessel’s differential equation, equivalent forms of 316 Bessel’s differential equation, solution of, by scries 308 beta function 302 Beta function, connection of, with gamma function 303 Calculus of variations 292 Cartesian coordinates 187 Cauchy — Riemann equations 448 Cauchy’s integral formula 455 Cauchy’s integral test 7 Cauchy’s integral theorem 452 Cauchy’s ratio test 8 12 Cauchy’s residue theorem 460 Channel, flow out of 508 Charged plate, field of 496 Chio, F. 74 Circuits, coupled by a condenser 154 Circuits, coupled by a condenser with mutual inductance 151 Circuits, coupled by a condenser, electrical 141 Circuits, coupled by a condenser, electrical forced oscillations of 146 Circuits, coupled by a condenser, filter 255 Coefficients, elastance 158 Coefficients, elastance, inductance 158 Coefficients, elastance, resistance 158 Collar, A. R. 191 197 Column, buckling of 223 Comparison Test 5 Complex conjugate 166 Complex numbers (see Numbers) Components, symmetrical 89 Composite functions, differentiation of 272 Condenser, charge on 488 Condenser, charge on, charging of 150 Condenser, charge on, circuits coupled by 154 Condenser, charge on, cylindrical 486 Condenser, charge on, elliptical 492 Condenser, charge on, parallel plate 508 Conductor, charge on 488 Conformal representation 480 Conjugate functions 479 Conjugate functions, application of, to hydrodynamics 515 Conjugate functions, solution of potential problems by method of 478 Conjugate imaginary 53 Conjugate, complex 166 205 Conservative systems 186 204 Conservative systems, small oscillations of 188 Contour, indentation of 472 Convergence, absolute 10 Convergence, absolute of Fourier series 58 Convergence, absolute, interval of 12 Convergence, absolute, uniform 18 Coordinates, Cartesian 187 Coordinates, Cartesian, curvilinear 353—355 Coordinates, Cartesian, cylindrical 357 Coordinates, normal 176 180 195 Coordinates, normal, polar 187 Coordinates, normal, spherical 357 Cord, deflection of 209 Cord, deflection of, elastic 214 Cord, deflection of, infinite 215 Cord, deflection of, stretched with elastic support 214 Cramer’s Rule 86 152 Curl of a vector field 349 Currents, alternating 161 Curvilinear coordinates, curl in 355 Curvilinear coordinates, curl in, divergence in 354 Curvilinear coordinates, curl in, gradient in 354 Curvilinear coordinates, curl in, Laplacian in 355 Curvilinear coordinates, curl in, orthogonal 353 Cylinder, eccentric, capacitance of 498 Cylinder, eccentric, capacitance of, in uniform field 409 Cylindrical coordinates 356 Cylindrical harmonics, general 411 Cylindrical harmonics, general, d’Alembert’s principle 141 Cylindrical harmonics, general, d’Alembert’s solution of wave equation 372 Damping matrix 203 Dandelin 98 Dandelin, de Moivre’s theorem 42 Del operator, V, successive applications of 352 Derivative of tabulated function 242 Descartes’ Rule of Signs 98 Determinants 69 Determinants, cofactors 71 Determinants, evaluation of 73 Determinants, minors 70 Determinants, properties of 72 Determinants, rank of 87 Diagram, vector 51 Difference equations 245 Difference tables 241 Differential 275 Differential equations with variable coefficients, operational solution of 557 Differentiation, of composite functions 272 Differentiation, of composite functions of a definite integral 284 Differentiation, of composite functions of implicit functions 277 Differentiation, of composite functions, partial 270 Diffusion 425 Diffusion equation 367 Dirichlet conditions 52 59 Distortion 171 Divergence, test for 6 Divergence, test for of a vector field 343 Duncan, W. J. 191 197 Dynamical matrix 189 192 196—201 Dynamical system 188 Electrical circuit 141 Electrical circuit forced oscillations of 146 Electrical circuit, energy of 143 Electrical circuit, free oscillations of 145 Electrical circuit, nonlinear 594 Electrical line with leaks 253 Electrostatics, basic principles of 483 Electrostatics, basic principles of and magnetostatics 365 Elliptic integral 27 Encke roots 98—104 Equations, Bessel 307—318 Equations, Bessel, cubic 95 Equations, Bessel, difference 245 Equations, Bessel, diffusion 367 Equations, Bessel, frequency 191 Equations, Bessel, homogeneous 70 87 173 189 204 Equations, Bessel, integral 555 Equations, Bessel, Lagrange 177 187 188 204 Equations, Bessel, Legendre 322—331 Equations, Bessel, linear algebraic 69 Equations, Bessel, linear differential 106 205 Equations, Bessel, Maxwell 364 Equations, Bessel, Poisson 362 Equations, Bessel, proof of 183 Equations, Bessel, quadratic 166 Equations, Bessel, satisfied by operators 240 Equations, Bessel, telegraphist’s 390 Equations, Bessel, transcendental 92 Equations, Bessel, transmission fine 390 393 395 543 Equations, Bessel, wave 63 366 370 Error function 305 Euler formula 40 50 54 167 Expansion, Fourier 55 57 Expansion, Heaviside, extension of 537 538 Expansion, Laplace 71 Expansion, Taylor’s 24 26 31 Factorial 301 Faltung theorem 213 525 Filter circuits 255 Finite difference operators 238 Flexibility matrix 197 Force, high-frequency effect of 171 Force, periodic external 169 Force, static 197 Forced oscillations 168 Four terminal networks 261 Fourier integral 65 Fourier series, convergence of 58 Fourier series, expansion 55 57 Fourier — Mellin theorem 521 Frequency equation 191 Frequency, angular 194 200 Frequency, high 171 Functions, analytic derivatives of 456 Functions, analytic singular points of 461 Functions, average value of a product of 62 Functions, Ber and Bei 318 Functions, Bessel 307—318 Functions, beta 303 Functions, complex 447 Functions, complex derivative of 449 Functions, complex line integrals of 451 Functions, composite differentiation of 272 Functions, effective values of 60 Functions, error 305 Functions, evaluation of indeterminate form 31 Functions, gamma 301 Functions, Hankel 316 Functions, harmonic general properties of 418 Functions, hyperbolic 44 Functions, impulse 125 534 Functions, inverse hyperbolic 46 Functions, inverse trigonometric 46 Functions, Legendre 322 Functions, logarithmic 45 Functions, meromorphic 463 Functions, stream 516 Gamma function 300 Gamma function, graph of 301 Gauss’s law of gravitation 364 Gauss’s theorem 343 Gradient 342 Graeffe’s root-squaring method 97 155 161 206 Gravitational field 363 Green’s Theorem 346 Hankel functions 316 Harmonic cylindrical 406 Harmonic functions, general properties of 418 Harmonic oscillations 167 175 180 190 Harmonic vibrations 49 Harmonic, general properties of surface 414 Harmonic, general properties of surface, spherical 412 Heat conduction 425 Heat conduction, general theorems of 443 Heat conduction, in circular plate 436 Heat conduction, in infinite bar 435 Heat conduction, two-dimensional 432 Heat flow, electrical analogy of 429 Heat flow, in semi-infinite solid 430 Heat flow, in solids 358 Heat flow, operational treatment of 547 Heat flow, two-dimensional 402 Heat flow, variable linear 426 Heaviside’s expansion theorem 537 Heaviside’s rules 537 Homogeneous equations 70 87 173 189 204 Hydrodynamics 357 Hyperbolic functions 44 Hyperbolic pole pieces 493 Implicit function, differentiation of 277 Impulsive functions 534 Indeterminate forms in functions 31 35 infinity 463 Integral equations 555 Integral, differentiation of 284 Integral, elliptic 27 Integral, evaluation of 26 288 467 552 Integral, Fourier 49 65 Integral, involving multiple functions 473 Integral, line 347 Integral, of complex functions 451 Integral, probability 305 Integral, surface 345 Integral, surface of tabulated function 243 Integration under the integral sign 286 Integra] test, Cauchy’s 7 Inverse hyperbolic and trigonometric functions 46 Jordan’s lemma 470 Joukoweki transformation 517 kinetic energy 177 185 Kirchhoff Laws 141 149 151 164 172 Lagrange 177 183 Lagrangian form 23 Laplace transformation 119 128 144 210 Laplace transforms, table of 130 567 Laplace transforms, use of, in nonlinear systems 600 Laplace’s differential equation 401 Laplace’s differential equation, in Cartesian, cylindrical, and spherical coordinate 401 Laplacian transformation 563 Laurent’s series 458 Legendre coefficients 328 Legendre polynomials 323 Legendre polynomials, as generating function 326 Legendre polynomials, associated 331 Legendre polynomials, expansion in series of 330 Legendre polynomials, orthogonality of 329 Legendre polynomials, Rodriguez’ formula for 324 Legrendre’s differential equation 322 Legrendre’s function of the second kind 325 Line integral 347 Linear algebraic equations 69 Linear differential equations 106 Linear differential equations, method of undetermined coefficients in 115 Linear transformations 88 Liouville’s theorem 466 Load, arbitrary 213 Load, arbitrary, concentrated 212 Load, arbitrary, uniform 210 Logarithmic decrement 167 Logarithmic function 45 Logarithmic transformation 496 Logarithms, computation of 29 L’Hospital’s Rule 31 Maclaurin see Series Magnetostatics and electrostatics 365 Matrix 159 Matrix algebra 76 191 Matrix, column 160 Matrix, damping 203 Matrix, dynamical 189 197 199 201 Matrix, flexibility 197 Matrix, inverse 80 Matrix, modal 194 Matrix, special 77 84 Matrix, submatrices 83 Matrix, transposition of 77 Maxima and minima 279
Реклама
|
|
О проекте