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This second edition is a comprehensive treatment of all straightforward aspects of Padé approximation, and the authors develop some themes to the level of current research. They extensively cover applications to statistical mechanics and critical phenomena, and there are newly extended sections devoted to circuit design, matrix Padé approximation, computational methods, and integral and algebraic approximants. The new edition also contains a chapter on multiseries approximants. The book contains an extensive bibliography of recent monographs on other specialized material. This succinct and straightforward treatment will appeal to scientists, engineers, and mathematicians alike.
This volume investigates the theoretical extensions and practical utility of Padé approximants in solving complex mathematical and physical problems. George A. Baker Jr. provides a rigorous examination of rational function approximations, building upon foundational concepts to address advanced research topics. The text synthesizes mathematical theory with computational methodology, offering a structured framework for applying these techniques to diverse scientific domains.
What You Will Find
Experts recognize this text as a standard reference for researchers and engineers working in numerical analysis and applied mathematics. Readers frequently note the technical density of the prose, which serves as a foundational resource for those seeking to implement approximation methods in professional practice.
Page Count:
233
Publication Date:
1981-01-01
Publisher:
Addison-Wesley Pub Co
ISBN-10:
0201135132
ISBN-13:
9780201135138
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