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Full Description
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.
Contents
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