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

Research output: Working paper and reportsResearch report

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.
Original languageEnglish
Place of PublicationAltenbergerstr. 69, 4040 Linz
PublisherSFB F13
Number of pages8
Publication statusPublished - 2008

Publication series

NameSFB F013 Reports
No.2008-1

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101009 Geometry
  • 101012 Combinatorics
  • 101013 Mathematical logic
  • 101020 Technical mathematics

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