This volume gives an up-to-date review of the subject Integration in Finite Terms. The book collects four significant texts together with an extensive bibliography and commentaries discussing these works and their impact. These texts, either out of print or never published before, are fundamental to the subject of the book. Applications in combinatorics and physics have aroused a renewed interest in this well-developed area devoted to finding solutions of differential equations and, in particular, antiderivatives, expressible in terms of classes of elementary and special functions.
| Preface |
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Integration in Finite Terms |
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1 | (10) |
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Comments on Roseniicht's Integration in Finite Terms |
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11 | (20) |
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Integration in Finite Terms: Liouville's Theory of Elementary Methods |
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31 | (106) |
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Comments on J.F. Ritt's Book Integration in Finite Terms |
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137 | (66) |
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On the Integration of Elementary Functions which are Built Up Using Algebraic Operations |
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203 | (18) |
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Comments on Risch's On the Integration of Elementary Functions which are Built Up Using Algebraic Operations |
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221 | (14) |
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Integration of Algebraic Functions |
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235 | (62) |
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Comments on Integration of Algebraic Functions |
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297 | |
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Clemens G. Raab is PostDoc at Johannes Kepler University, Linz, Austria. Michael F. Singer is Professor of Mathematics, North Carolina State University, Raleigh, NC, USA.
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