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Author Moses, Joel
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Keyword Algebraic manipulation ♦ Differential algebra ♦ Special functions ♦ Algebraic geometry ♦ Algebraic simplification ♦ Symbolic integration
Abstract A list of a number of natural developments for the field of algebraic manipulation is given. Then the prospects for a general theory of functions defined by ordinary differential equations are discussed. The claim is made that recent developments in mathematics indicate that it should be possible to algorithmically generate many properties of solutions to differential equations. Such a theory is preferable to a less general effort to make algebraic manipulation systems knowledgeable about the usual special functions (e.g. exponential, hypergeometric).
Description Affiliation: Massachusetts Institute of Technology, Cambridge (Moses, Joel)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2005-08-01
Publisher Place New York
Journal Communications of the ACM (CACM)
Volume Number 15
Issue Number 7
Page Count 5
Starting Page 550
Ending Page 554


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Source: ACM Digital Library