First Course in Sobolev Spaces

Discover the essential concepts of Sobolev spaces with the First Course in Sobolev Spaces by renowned authors from the American Mathematical Society. This second edition, published in 2017, spans an impressive 734 pages and is designed to serve as a comprehensive resource for both advanced undergraduate and graduate courses.

The book is thoughtfully divided into two parts, allowing for flexibility in teaching. The first part focuses on functions of one variable, while the second delves into the intricacies of Sobolev functions. A significant enhancement in this edition is the inclusion of a chapter dedicated to Besov spaces, now explored through the lens of interpolation theory, providing readers with a deeper understanding of these fundamental concepts.

Whether you're a student or an educator, First Course in Sobolev Spaces is an invaluable addition to your mathematical library, offering clarity and insight into the world of functional analysis.