A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool.
The book under review is a very good reference on this material, giving a detailed collection of various asymptotic results, with a special focus on special functions. & The book is a classic, and it seems to be essentially a research text, but it has the structure to be also used as a textbook. Indeed, each section includes good and challenging exercises, some of which are the key and starting point for further research. & This impressive book contains more than what appears in its table of contents; the reader will find much that is very nice and useful inside it. I recommend it strongly for students and professors of mathematics, physics and engineering who are concerned with careful analysis of asymptotics and special functions.
MAA Reviews, July 2011