tailieunhanh - Advanced Engineering Mathematics 2011 Part 17

Tham khảo tài liệu 'advanced engineering mathematics 2011 part 17', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Index 629 eigenfunctions 270ff orthogonality of 282 eigenvalue of a matrix 585ff of a Sturm-Liouville problem 270ff eigenvalue problem for matrices 585ff for ordinary differential eqs 270ff singular 270 eigenvectors 585ff orthogonality of 592 electrical circuit 209ff element of a matrix 560 elementary row operations 576 electrostatic potential 474 elliptic partial differential eq 465 entire complex function 11 equivalent system 576 error function 166 Euler s formula 3 explicit numerical method for heat eqs 458 for wave eqs 379 exponential order 162 filter 105 final-value theorem for Laplace transforms 179 for z-transforms 242 finite differences approximation to derivatives 378ÍT finite Fourier series 97 first shifting theorem 175 flux lines 512 folding frequency 104 Fourier coefficients 52ff 286 cosine series 60 series in amplitude phase form 8Iff series of an even function 60 series of an odd function 60 series on L L 52ff sine series 60 Fourier Joseph 55 Fourier-Bessel coefficients 313ff expansion 312 Fourier-Legendre coefficients 298 expansion 298 Fourier number 401 Fourier transform 113ff basic properties of 124ff convolution for 150ff inverse of 115 137 of a constant 121 of derivatives 127 of sign function 122 of step function 123 frequency modulation 131 frequency response 155 frequency spectrum 61 86 116 for a damped harmonic oscillator 155 for low frequency filter 158 function even extension of 75 generalized 174 multivalued complex 10 odd extension of 75 single-valued complex 9 vector-valued 508ff fundamental of a Fourier series 52 Gauss Carl Friedrich 550 Gauss divergence theorem 549ff Gaussian elimination 579 Gauss-Seidel iteration 502 generating function for Legendre polynomials 294ff Gibbs phenomenon 7Off gradient 511 Green s function 155 217 for a damped harmonic oscillator 155 630 Advanced Engineering Mathematics Green s function contd. for the Klein-Gordon eq 376 for low frequency filter 158 Green s lemma 536ÍT grid point 378 ground water flow 469ff

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