Advanced engineering mathematics / K.A. Stroud, Dexter J. Booth
Publication details: Huddersfield : c2003 Palgrave, Edition: 4th editionDescription: xxiv,1032 p. : ill. ; 23 cmISBN:- 9781403903129
- 22 510. 2462 STR
Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Course reserves |
---|---|---|---|---|---|---|---|
Book Closed Access | Engineering Library | 510.2462 STR 1 (Browse shelf(Opens below)) | 1 | Available | BUML23070667 | ||
Book Closed Access | Engineering Library | 510.2462 STR 2 (Browse shelf(Opens below)) | 2 | Available | BUML23070646 | ||
Book Closed Access | Engineering Library | 510.2462 STR 3 (Browse shelf(Opens below)) | 3 | Available | BUML23070645 | ||
Book Closed Access | Engineering Library | 510. 2462 STR 4 (Browse shelf(Opens below)) | 4 | Available | BUML23070647 |
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
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