Encyclopedia of Mathematics and its Applications
3 total works
The first edition of this book was reviewed in 1982 as 'the most extensive treatment of Padé 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.
Pad~Ae Approximants, Part 2, Extensions and Applications
by George A. Baker and P. R. Graves-Morris
Published 28 December 1984
The second of two volumes describing in a comprehensive manner the topic of Padé Approximation and some of its generalisations. In this volume applications are made to integral equations, quantum mechanics, scattering theory, field theory, and statistical mechanics.
The first of two volumes describing in a comprehensive manner the topic of Padé Approximation and some of its generalizations. These are special topics in mathematical approximation theory and complex analysis. In this volume the relationships between Padé approximants numerical methods, orthogonal polynomials and continued fractions are developed.