Integration of Algebraic Functions: A Simple Heuristic for Finding the Logarithmic Part

Manuel Kauers

doi:10.1145/1390768.1390789

Integration of Algebraic Functions: A Simple Heuristic for Finding the Logarithmic Part

Manuel Kauers

Institut für Symbolisches Rechnen

Publikation: Beitrag in Buch/Bericht/Konferenzband › Konferenzbeitrag › Begutachtung

Abstract

A new method is proposed for finding the logarithmic part of an integral over an algebraic function. The method uses Gr\"obner bases and is easy to implement. It does not have the feature of finding a closed form of an integral whenever there is one. But it very often does, as we will show by a comparison with the built-in integrators of some computer algebra systems.

Originalsprache	Englisch
Titel	Proceedings of ISSAC'08
Untertitel	Proceedings of the 21st International Symposium on Symbolic and Algebraic Computation 2008
Herausgeber*innen	David Jeffrey
Seiten	133-140
Seitenumfang	8
DOIs	https://doi.org/10.1145/1390768.1390789
Publikationsstatus	Veröffentlicht - 2008

Wissenschaftszweige

101 Mathematik
101001 Algebra
101005 Computeralgebra
101009 Geometrie
101012 Kombinatorik
101013 Mathematische Logik
101020 Technische Mathematik

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10.1145/1390768.1390789

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