Wavelets - A brief Introduction to Theory and Applications

This monograph combines theory and applications to introduce and explore Wavelet series and Wavelet transform. Directed at advanced undergraduate, graduate and wavelet researchers in mathematics, physics and engineering, users will find the text both accessible and challenging. Professional engineers, physicists and mathematicians seeking to extend their mathematical horizons will find it an invaluable reference manual. In this collection of scholarly articles, three overviews are presented to provide better and deeper understanding of the concepts, ideas, methods and algorithms. In a historical overview, a genesis of the wavelet theory is described. In a technical overview, theoretical aspects are covered in some detail. Finally, in an Application overview, both conventional and non- conventional applications of wavelets are showcased. The unique feature of the text is FAQ's on wavelets, encompassing wavelets and their applicability in many fields. It is intended to serve as a very first reading on wavelets, giving examples of interest to the mathematical community. References for further reading are also given at the end of each article.