The first edition of this book was reviewed in 1982 as 'the most extensive treatment of Pade approximants actually available'. This second edition has been thoroughly updated, with a substantial chapter on multiseries approximants. Applications to statistical mechanics and critical phenomena are extensively covered, and there are extended sections devoted to circuit design, matrix Pade approximation, and computational methods. This succinct and straightforward treatment will appeal to scientists, engineers, and mathematicians alike.

The first edition of this book was reviewed in 1982 as the most extensive treatment of Pade approximants actually available. The revised version aims to maintain this status. It has been updated, with several new sections added, including a new chapter on multiseries approximants. The book is a comprehensive treatment of all straightforward aspects of Pade approximation, and some themes are developed to the level of current research. Applications to statistical mechanics and critical phenomena are extensively covered, and there are newly extended sections devoted to circuit design, matrix Pade approximation, computational methods, and integral and algebraic approximants. The book also contains an extensive bibliography of recent monographs on other specialized material. This straightforward treatment should appeal to scientists, engineers and mathematicians.