Fourier Series and Boundary Value Problems with Engineering Applications

This book is a comprehensive and time-tested guide to the mathematical theory of Fourier series and boundary value problems, with a strong emphasis on engineering applications. For students, educators, and professionals alike, this is an indispensable companion for mastering the mathematical tools that underpin modern engineering.

Autorentext

Youssef N. Raffoul is Professor and Graduate Program Director at the University of Dayton. He holds a Ph.D. from Southern Illinois University. He is the recipient of the University of Dayton College of Arts and Sciences' Award for Outstanding Scholarship (twice), and the University of Dayton Alumni Award in Scholarship. Professor Raffoul has published over one hundred and sixty articles in prestigious journals in the area of functional differential equations, difference equations, and dynamical systems on time scales. He was honored by the Lebanese government with the Career in Science Award. The Archbishop of Lebanon awarded him the Lifetime Achievement Award. Most notably, and he is the recipient of the Order of Merit, Silver Medal with Distinction and awarded by the president of Lebanon, General Aoun.

Inhalt

1. Fourier Series 2. Theory of Fourier Series 3. Uniform Convergence and Operations on Fourier Series 4. Heat Equation and Boundary Value Problems 5. The Wave Equation and Boundary Value Problems 6.Sturm-Liouville Systems and Applications 7. Fourier Integrals and Applications 8. Classic PDEs **9. Heat Equation on Unbounded Domains 10. Wave Equation on Unbounded Domains