440 Pages
    by CRC Press

    440 Pages
    by CRC Press

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    Introducing engineering students to numerical analysis and computing, this book covers a range of topics suitable for the first three years of a four year undergraduate engineering degree. The teaching of computing to engineers is hampered by the lack of suitable problems for the students to tackle, so much effort has gone into making the problems in this book realistic and relevant, while at the same time solvable for undergraduates.

    Taking a balanced approach to teaching computing and computer methods at the same time, this book satisfies the need to be able to use computers (using both formal languages such as Fortran and other applications such as Matlab and Microsoft Excel), and the need to be able to solve realistic engineering problems.

    1 Introduction to Engineering Modelling and Analysis

    2 Introduction to Computing Tools – Fortran, Pascal, Basic, and C

    3 Introduction to Computing Tools – Spreadsheets

    4 Introduction to Computing Tools – Matlab

    5 Fortran 90/95 – Basic Concepts, Input and Output

    6 Fortran 90/95 – Control Structures and Data Storage

    7 Fortran 90/95 – Common Tasks

    8 Roots of Equations – Introduction

    9 Roots of Equations – Bracket Methods

    10 Roots of Equations – Open Methods

    11 Numerical Integration – Trapezoidal Rule

    12 Numerical Integration – Simpson’s Rules

    13 Numerical Interpolation – Newton’s Method

    14 Numerical Interpolation – Polynomial Methods

    15 Numerical Interpolation – Splines

    16 Systems of Linear Equations – Introduction

    17 Systems of Linear Equations – Gauss-Jordan and Gauss-Seidel Methods

    18 Systems of Linear Equations – Thomas Algorithm

    19 Numerical Solution of Ordinary Differential Equations – Introduction

    20 Numerical Solution of Ordinary Differential Equations – Euler and Runge-Kutta Methods

    21 Finite Difference Modelling – Introduction

    22 Finite Difference Modelling – LaPlace’s Equation Solutions

    23 Finite Difference Modelling – Solution of Pure Convection

    24 Finite Difference Modelling – Solution of Pure Diffusion

    25 Finite Difference Modelling – Solution of Transport Equation

    26 Finite Difference Modelling – Alternate Schemes

    27 Probability Distributions – Introduction

    28 Probability Distributions – The Normal and Lognormal Distributions

    29 Probability Distributions – The Binomial Distribution and Return Periods

    30 Probability Distributions – The Poisson Distribution

    31 Probability Distributions – Testing Distributions using Probability Paper

    32 Probability Distributions – Testing Distributions using Chi2 Test

    33 Random Numbers – Theory and Generation

    34 Monte Carlo – Introduction

    35 Monte Carlo – Applications

    36 Resonance

    37 Spectral Analysis – Basic Concepts

    38 Spectral Analysis – Discrete Fourier Transform

    39 Spectral Analysis – Application of the Fast Fourier Transform

    40 Spectral Analysis – Practical Aspects of Data Collection and Analysis

    41 Linear Regression and Correlation

    42 Parameter Estimation

    43 Assorted Topics – The Error Function

    44 Assorted Topics – Taylor Series

    45 Assorted Topics – Complex Representation of Periodic Functions

    46 Solutions to Selected Problems


    David Walker, Michael Leonard and Martin Lambert are in the School of Civil, Environmental and Mining Engineering, and Andrew Metcalfe is in the School of Mathematical Sciences, all at the University of Adelaide, Australia. They are all active in teaching and research and the content of the book reflects a strong belief that the one should complement the other.