Advanced Modern Engineering Mathematics (4e)

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 and MAPLE further support students.

Preface

About the authors

1. Matrix Analysis
2. Numerical Solution of Ordinary Differential Equations
3. Vector Calculus
4. Functions of a Complex Variable
5. Laplace Transforms
6. The z Transform
7. Fourier Series
8. The Fourier Transform
9. Partial Differential Equations
10. Optimization
11. Applied Probability and Statistics

 Answers to Exercises

   Index 

·        New topics are introduced, including new sections on singular value decomposition, direct design of digital filters and windows, and integral solution of partial differential equations

·        More references are made to the use of MATLAB and MAPLE with commands and codes introduced

·        The order of chapters is updated, giving a more logical progression throughout the book

·        Colour is introduced to make the text more accessible and student-friendly

·        Updated Lecturer Solutions Manual

• Graded examples and exercises
• Increased emphasis on software packages, particularly symbolic algebra packages.  Particular emphasis on use of MATLAB and MAPLE, with basic commands introduced and illustrated
• Downloadable Lecturer Solutions Manual