Algebraic factoring and rational function integration

Proceedings of the 3rd ACM Symposium on Symbolic and Algebraic Computation, SYMSAC 1976

Volumn , Issue , 1976, Pages 219-226

  Träger, Barry M ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; INTEGRAL EQUATIONS; ITERATIVE METHODS;

ALGEBRAIC NUMBER FIELDS; EXTENSION FIELD; FUNCTION INTEGRATION; SEVERAL VARIABLES;

RATIONAL FUNCTIONS;

EID: 77954216433     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/800205.806338     Document Type: Conference Paper

References (15)

1. Collins. G.E., "The Calculation of Hultivariate Polynomial Resultants", JACn, vol. 18, no. 4. Oct. 1971, pp. 515-532.
2. Gaal, L., Ciossfcol Colois Theory with Examples, Narkham, Chicago, 1971, reprinted by Chelsea, New York.
3. Horowitz, E.,/lisiorit/ims for Symbolic Integration of Rational Functions, Ph.D. Thesis, U. of Wisconsin, 1970.
4. Loos, R. Q. K., "A Constructive Approach to Algebraic Numbers", Computer Science Dept., Stanford University, Palo Alto, Calif.
5. NacDuffee, C, An Introduction to Abstract Algebra, Dover, 1966.
6. Mack, D., On Rational Integration, Computer Science Dept., Utah Univ., UCP-38, 1Ô75.
7. HACSYHA Reference Nanual. Mathlab Group, Project MAC, H.I.T., Cambridge, Hass., November 1975.
8. Manove, M., Bloom, S., and Engelman, C. "Rational functions in MATHLAB", Proc. IFIP Conf. on Symbolic Manipulation Languages, Pisa, Italy, 1968.
9. Hoses, J., "Symbolic Integration: the Stormy Decade", Communtcotions of the ACH, vol 14, no 8, pp. 548-560. 1971.
10. Tobey, R.G., Algorithms for Antidifferentiation of Rational Functions, Ph.D. Thesis, Harvard, 1967.
11. van der Waerden, B.L., Ködern Algebra, vol 1, tr. Fred Blum, Frederick Ungar Publishing Co., New York, 1953.
12. Wang, P.S. and Rothschild, L.P., "Factoring Hultivariate Polynomials Over the Intgers, " Motftematics of Computation, vol 29. no. 131, pp 935-950, 1975.
13. Wang, P.S., "Factoring Hultivariate Polynomials over Algebraic Number Fields", Wotftemottcs of Computation, vol. 30, no. 134, April 1976.
14. Weyl, Hermann, Algebraic Theory of Kumbers, Princeton University Press, 1940.
15. Vun, D.Y.Y., The Hensel Lemma in Symbolic Hanipulation, Ph.D. Thesis. H.l.T., HAC TR-138, 1974.