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Building on the foundations laid in the companion text Modern Engineering Mathematics, this book gives an extensive treatment of some of the advanced areas of mathematics that have applications in various fields of engineering, particularly as tools for computer-based system modelling, analysis and design.

The philosophy of learning by doing helps students develop the ability to use mathematics with understanding to solve engineering problems. A wealth of engineering examples and the integration of MATLAB, MAPLE and R further support students.

Advanced Modern Engineering Mathematics

Preface

About the authors

Introduction

Matrix Analysis

Numerical Solution of Ordinary Differential Equations

Vector Calculus

Functions of a Complex Variable

Laplace Transforms

The z Transform

Fourier Series

The Fourier Transform

Partial Differential Equations

Optimization

Applied Probability and Statistics

 Answers to Exercises

 

   Index