Advanced Engineering Mathematics

Merle C. Potter received his Ph.D. from The University of Michigan and is Professor Emeritus of Mechanical Engineering at Michigan State University. He has co-authored textbooks based on teaching Thermodynamics, Fluid Mechanics, Applied Mathematics, and related subjects. Dr. Potter’s research included the stability of various fluid flows, separated flow around bodies, and energy conservation studies. He has authored and coauthored 34 textbooks and exam review books. Jack L. Lessing received his Ph.D. in mathematics from the University of Illinois and after two years at Bell Laboratories took a position at the University of Michigan.  During his long tenure at the University of Michigan he published textbooks, devised new courses, served as thesis advisor for many Ph.D. candidates, published numerous research papers and received the prestigious AMOCO award for his outstanding teaching.  Edward F. Aboufadel received his Ph.D. from Rutgers University and is an Assistant Vice President & Professor of Mathematics at Grand Valley State University.  He is an applied mathematician and the co-author of a textbook on wavelets.  Aboufadel’s research projects have included automated pothole detection, visualizing water pollution data, and mathematical designs for 3D printing.

• Chapter 1: Ordinary Differential Equations.- Chapter 2: Series Method.-  Chapter 3: Laplace Transforms.- Chapter 4: The Theory of Matrices.- Chapter 5: Matrix Applications.- Chapter 6: Vector Analysis.- Chapter 7: Fourier Series.- Chapter 8: Partial Differential Equations.- Chapter 9: Numerical Methods.- Chapter 10: Complex Variables.- Chapter 11: Wavelets.- For Further Study.- Appendices.