Cited By
View all- Davenport J(2005)The parallel Risch algorithm (I)Computer Algebra10.1007/3-540-11607-9_17(144-157)Online publication date: 28-May-2005
An introduction to the Risch integration algorithm
Author: 
Joel MosesAuthors Info & Claims
Pages 425 - 428
Abstract
Risch's decision procedure for determining the integrability in closed form of the elementary functions of the calculus is presented via examples. The exponential and logarithmic cases of the algorithms had been implemented for the MACSYMA system several years ago. The implementation of the algebraic case of the algorithm is the subject of current research.
References
[1]
Risch, R. H., "The Problem of Integration in Finite Terms", Transactions AMS 139 (May 1969), 162-189.
[2]
Risch, R. H., "On the Integration of Elementary Functions which are built up using algebraic operations," Rep. SP-2801-002, Systems Development Corporation, Santa Monica, Calif. June 1968.
[3]
Risch, R. H., "Solution of the problem of Integration in finite terms," Bulletin AMS (May 1970), 605-608.
[4]
MACSYMA Reference Manual, Version 8, Laboratory for Computer Science, MIT, Cambridge, Mass., November 1975.
[5]
Moses, J., "Symbolic Integration: the Stormy Decade," Communications ACM 14, 8 (August 1971), 548-560.
[6]
Trager, B., "Symbolic Integration of a class of algebraic functions," M.S. Thesis, Dept. of Elec. Eng. and Comp. Sci., M.I.T. May, 1976.
Index Terms
- An introduction to the Risch integration algorithm
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Copyright © 1976 ACM.
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Association for Computing Machinery
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Publication History
Published: 20 October 1976
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View all- Davenport J(2005)The parallel Risch algorithm (I)Computer Algebra10.1007/3-540-11607-9_17(144-157)Online publication date: 28-May-2005
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