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Integration in Finite Terms: Fundamental Sources

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  • © 2022

Overview

Editors:
  1. Clemens G. Raab

    1. Institute for Algebra, Johannes Kepler University of Linz, Linz, Austria

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    You can also search for this editor in PubMed   Google Scholar

  2. Michael F. Singer

    1. Department of Mathematics, North Carolina State University, Raleigh, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Presents two fundamental texts not yet published before
  • Commentaries will give an up-to-date review of the area together with an extensive bibliography
  • Renewed interest in the topic because of applications in combinatorics and physics

Part of the book series: Texts & Monographs in Symbolic Computation (TEXTSMONOGR)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-vii
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  2. Integration in Finite Terms

    • Maxwell Rosenlicht
    Pages 1-10

  3. Comments on Rosenlicht’s Integration in Finite Terms

    • Michael F. Singer
    Pages 11-30

  4. Integration in Finite Terms Liouville’s Theory of Elementary Methods

    • Joseph Fels Ritt
    Pages 31-134

  5. Comments on J.F. Ritt’s Book Integration in Finite Terms

    • Askold Khovanskii
    Pages 135-199

  6. On the Integration of Elementary Functions which are Built Up Using Algebraic Operations

    • Robert H. Risch
    Pages 200-216

  7. Comments on Risch’s On the Integration of Elementary Functions which are Built Up Using Algebraic Operations

    • Clemens G. Raab
    Pages 217-229

  8. Integration of Algebraic Functions

    • Barry M. Trager
    Pages 230-286

  9. Comments on Integration of Algebraic Functions

    • Barry M. Trager
    Pages 287-295
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About this book

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.



Editors and Affiliations

  • Institute for Algebra, Johannes Kepler University of Linz, Linz, Austria

    Clemens G. Raab

  • Department of Mathematics, North Carolina State University, Raleigh, USA

    Michael F. Singer

About the editors

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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