Differential Equations: A Modern Approach with Wavelets (Textbooks in Mathematics)
This new book from one of the most published authors in all ofmathematics is an attempt to offer a new, more modern take on theDifferential Equations course. The world is changing. Because ofthe theory of wavelets, Fourier analysis is ever more important andcentral. And applications are a driving force behind much ofmathematics.This text text presents a more balanced picture. Thetext covers differential equations (both ordinary and partial),Fourier analysis and applications in equal measure and with equalweight. The Riemann integral is used throughout. We do not assumethat the student knows any functional analysis. We likewise do notassume that the student has had a course in undergraduate realanalysis. To make the book timely and exciting, a substantialchapter on basic properties of wavelets, with applications tosignal processing and image processing is included. This shouldgive students and instructors alike a taste of what is happening inthe subject today.