This book illustrates the basic ideas of regularity properties of functional equations by simple examples. It then treats most of the modern results about regularity of non-composite functional equations of several variables in a unified fashion. A long introduction highlights the basic ideas for beginners and several applications are also included.
From the reviews of the first edition:
"This book is a welcome addition to the functional equations literature. ? The author does a masterful job of organizing and summarizing the results of the last 50 years and weaving them together into a coherent general theory. There are over 200 references. The book is very carefully written ? . The author has certainly achieved his stated goal of making these results 'more accessible and easier to use for everyone working with functional equations.'" (Bruce Ebanks, Zentralblatt MATH, Vol. 1081, 2006)
