TY - BOOK AU - Stroud, K. A. AU - Booth, Dexter J. TI - Advanced engineering mathematics SN - 9781403903129 U1 - 510. 2462 22 PY - 2003/// CY - Huddersfield PB - Palgrave, KW - Engineering Mathematics KW - Algebra N1 - CONTENT Programme 5 Z transforms Introduction Sequences Table of Z transforms Properties of transforms Inverse transforms Programme 6 Fourier series Learning outcome Integrals of periodic functions Derichlet conditions Programme 7 Introduction to the Fourier transform 231 Complex Fouriers Complex spectra Alternate forms Properties of the Fourier transform Programme 8 Power series Solutions of Ordinary Differential Equations 271 Higher Derivates Power series solutions Bessel equation Legendre polynomial Programme 9 Numerical solutions of ordinary differential equations 327 Introduction First-order differential equations Second-order differential equation Predictor-corrector method Programme 10 Partial Differentiation 370 Small increaments Inverse functions Stationary value of a function Lagrange undetermined multipliers Programme 11 Partial Differential Equations 414 Introduction Partial differential equation The heat conduction equation for a uniform finite bar Laplace's Equation Laplace's Equation in plane polar coordinates Programme 12 Matrix algebra Singular and non-singular matrices Elementary operations nd euivalent matrices Consistency of a set of equations Solution of a set of equations Eigenvalues and Eigenvectors Programme 13 Numerical solutions of partial differential equations 517 Introduction Numerical approximation to derivatives Function of real two variables Grid values Computational molecules Summary of procedures Programme 14 Multiple integration 1 566 Introduction Differentials Area enclosed by a close curve Line integrals Green's theorem Programme 15 Multiple integration 2 617 Double integrals Volume integrals Curvilinear coordinates Programme 16 Integral Functions 661 Integral function The beta function The error function Programme 17 Vector analysis 1 697 Introduction Triple products Partial differentiation of vectors Scalar and vector fields Summary of grad, div and curl Programme 18 Vector analysis 2 744 Line integrals Volume integrals Surface integrals Conservative vector fields Divergence theorem (Gaus's theorem) Programme 19 Vector analysis 3 795 Curvilinear coordinates Orthogonal coordinate system in space Scale factors General curvilinear coordinate system (u, v, w) Programme 20 Complex analysis 1 821 Functions of a complex variable Complex mapping Non-linear transformation Programme 21 Complex analysis 2 861 Differentiation of a complex function Harmonic function Complex integration Conformal transformation (Conformal mapping) Programme 22 Complex analysis 3 909 Maclaurin series Radius of Converence Singular points Circle of convergence Taylor's series Laurent,s series etc Programme 23 Optimization and linear programming 940 Optimization The simplex method Applications; Index : p.1027-1032 ER -