Fourier Series and Boundary Value Problems with Engineering Applications
eBook - ePub

Fourier Series and Boundary Value Problems with Engineering Applications

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Fourier Series and Boundary Value Problems with Engineering Applications

About this book

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. Over the past two decades, Fourier Series and Boundary Value Problems with Engineering Applications has been rigorously refined and tested in classroom settings, ensuring its effectiveness as a teaching and learning resource.

The journey begins with a thorough development of Fourier series, a cornerstone of modern mathematics and engineering. The Fourier series provides a powerful framework for analyzing periodic functions and decomposing complex signals into simpler sinusoidal components. This foundational knowledge is then extended to boundary value problems, which arise naturally in the study of physical phenomena such as heat flow, vibrations, and wave propagation.

A distinctive feature of this book is its focus on applications in both rectangular and spherical coordinates. These coordinate systems are essential for modeling problems in diverse engineering contexts. Additionally, the book addresses partial differential equations on unbounded domains and ordinary differential equations.

Whether you are a student encountering Fourier series and boundary value problems for the first time, an educator seeking a reliable and classroom-tested resource, or a professional looking to refresh your knowledge, this book offers a clear exposition, practical focus, and extensive problem sets, making it an indispensable companion for mastering the mathematical tools that underpin modern engineering.

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Yes, you can access Fourier Series and Boundary Value Problems with Engineering Applications by Youssef N. Raffoul,Youssef Raffoul in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Dedication Page
  7. Contents
  8. Preface
  9. Author
  10. 1 Fourier Series
  11. 2 Theory of Fourier Series
  12. 3 Uniform Convergence and Operations on Fourier Series
  13. 4 Heat Equation and Boundary Value Problems
  14. 5 The Wave Equation and Boundary Value Problems
  15. 6 Sturm–Liouville Systems and Applications
  16. 7 Fourier Integrals and Applications
  17. 8 Classic PDEs
  18. 9 Heat Equation on Unbounded Domains
  19. 10 Wave Equation on Unbounded Domains
  20. Bibliography
  21. Index