This is a textbook for students in departments of Aerospace, Electrical, and Mechanical Engineering, taking a course called Advanced Engineering Mathematics, Engineering Analysis, or Mathematics of Engineering. This text focuses on mathematical methods that are necessary for solving engineering problems. In addition to topics covered by competition, this book integrates the numerical computation programs MATLAB, Excel and Maple.

New to this edition:

• Introduction of Maple, MATLAB, or Excel into each section and into problem sets
• New chapter on wavelets added

Features

• Written for engineering students
• Focuses on real-world problems
• Incorporates Maple® throughout, with some applications of Excel® and MATLAB®
• Reviews solutions of ordinary differential equations
• Presents a new chapter on wavelets and a new section on Fourier Transforms
• A Solutions Manual is available to adopters.

Preface 1. Ordinary Differential Equations 2. Series Method 3. Laplace Transform 4. The Theory of Matrices 5. Matrix Applications 6. Vector Analysis 7. Fourier Series 8. Partial Differential Equations 9. Numerical Methods 10. Complex Variables For Further Study Appendices Answers to Selected Problems Index

Merle C. Potter – Professor Emeritus of Mechanical Engineering, Michigan State University

Jack Goldberg – Professor, University of Michigan

Edward F. Aboufadel – Associate Professor, Grand Valley State University