DIFFERENTIAL EQUATIONS A MODERN APPROACH WITH WAVELETS (HB 2020) Hardcover

This new book, written by one of the most prolific authors in mathematics, offers a modern approach to the Differential Equations course. As the world evolves, Fourier analysis, particularly due to the theory of wavelets, has become increasingly important and central to many areas of mathematics. This text presents a more balanced perspective, equally covering differential equations (both ordinary and partial), Fourier analysis, and their applications. The Riemann integral is consistently used throughout the book, and no prior knowledge of functional analysis or undergraduate real analysis is assumed. To make the book relevant and engaging, it includes a substantial chapter on the fundamental properties of wavelets, with applications to signal and image processing. This addition aims to provide both students and instructors with a glimpse of current developments in the field.