On the Risch-Norman integration method and its implementation in MAPLE

Keith O. Geddes, Lim Yohanes Stefanus

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Citations (Scopus)

Abstract

Unlike the Recursive Risch Algorithm for the integration of transcendental elementary functions, the Risch-Norman Method processes the tower of field extensions directly in one step. In addition to logarithmic and exponential field extensions, this method can handle extensions in terms of tangents. Consequently, it allows trigonometric functions to be treated without converting them to complex exponential form. We review this method and describe its implementation in MAPLE. A heuristic enhancement to this method is also presented.

Original languageEnglish
Title of host publicationProceedings of the ACM-SIGSAM 1989 International Symposium on Symbolic and Algebraic Computation, ISSAC 1989
EditorsG. H. Gonnet
PublisherAssociation for Computing Machinery
Pages212-217
Number of pages6
ISBN (Electronic)0897913256
DOIs
Publication statusPublished - 17 Jul 1989
Event1989 ACM-SIGSAM International Symposium on Symbolic and Algebraic Computation, ISSAC 1989 - Portland, United States
Duration: 17 Jul 198919 Jul 1989

Publication series

NameProceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC
VolumePart F130182

Conference

Conference1989 ACM-SIGSAM International Symposium on Symbolic and Algebraic Computation, ISSAC 1989
CountryUnited States
CityPortland
Period17/07/8919/07/89

Fingerprint Dive into the research topics of 'On the Risch-Norman integration method and its implementation in MAPLE'. Together they form a unique fingerprint.

Cite this