Stroud, K. A.

Advanced engineering mathematics / K.A. Stroud, Dexter J. Booth - 4th edition - Huddersfield : Palgrave, c2003 - xxiv,1032 p. : ill. ; 23 cm


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

9781403903129


Engineering Mathematics
Algebra

510. 2462 / STR