Advancing Materials Analysis with Fourier Transform Techniques

Book Abstract

This book is a thorough, accessible introduction to advanced digital Fourier analysis for advanced students. These user-friendly applets animate concepts interactively, allowing the user to experiment with the underlying mathematics. Author have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this book to be of real interest. This book represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications in this book highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. this book emphasizes a concrete and computational approach to the subject of Fourier analysis and wavelet theory while maintaining a balance between theory and applications