Translations of Mathematical Monographs 1991; 221 pp; hardcover Volume: 92 ISBN10: 0821845454 ISBN13: 9780821845455 List Price: US$100 Member Price: US$80 Order Code: MMONO/92
 This book presents a wide range of problems connected with rational approximations of numbers and analytic functions. These problems touch on many topics in contemporary analysis, such as analytic functions, orthogonal polynomials, spectral theory of operators, and potential theory. Motivated by the development of the theory of Padé approximants and the current application of this theory in related disciplines, the authors present an introduction to this circle of ideas. The book is intended for students and future researchers interested in function theory and number theory. Reviews "A comprehensive introduction for students and future researchers to topics that are nowadays undergoing intensive development."  Journal of Approximation Theory Table of Contents  Rational approximation of numbers
 Padé approximants and orthogonal polynomials
 Asymptotic properties of orthogonal polynomials
 Simultaneous Padé approximants
 Potential theory
