This book is a modern introduction to asymptotic analysis intended not only for mathematicians, but for physicists, engineers, and graduate students as well. Written by two of the leading experts in the field, the text provides readers with a firm grasp of mathematical theory, and at the same time demonstrates applications in areas such as differential equations, quantum mechanics, noncommutative geometry, and number theory.

Key features of this significantly expanded second edition: - addition of several new chapters and sections, including a presentation of time-domain asymptotics needed for the understanding of wavelet theory - extensive examples and problem sets - useful bibliography and index.