Anyone who regards Abramowitz and Stegun’s Handbook of Mathematical Functions. . .” [1] as an indispensible friend should find this new book a very useful companion. It concentrates on the gamma function, the exponential integrals, and the error function, together with other functions related to these. Definitions, with some analytic properties and fundamental formulas for each type, are then followed by the material which makes the existence of the book so useful. Algorithms, implementations, error analysis, and testing aspects are presented, with a discussion in some cases and others listed. The material on each group of functions is written against the background of the preceding chapter on general aspects of computing functions. The book begins with an introduction to the literature and the available software on the computation of special functions.

The book, like its big brother mentioned at the start of this review, contains much useful information and, especially, includes up-to-date material. The reviewer certainly thinks that the authors should proceed with an additional volume on other groups of functions, as they propose in their introduction.