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The parallel Risch algorithm (I)

  • 4. Algorithms II
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Computer Algebra (EUROCAM 1982)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 144))

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5. References

  1. Caviness, B.F. & Rothstein, M., A Liouville Theorem on Integration in Finite Terms for Line Integrals. Comm. Algebra 3(1975) pp. 781–795.

    Google Scholar 

  2. Davenport,J.H. & Trager,B.M., On the Parallel Risch Algorithm (II). To appear.

    Google Scholar 

  3. ffitch,J.P., User-based Integration Software. Proc. SYMSAC 81, pp. 245–248

    Google Scholar 

  4. Kaplansky, I., An Introduction to Differential Algebra. Publications de l'Institut de Mathėmatique de l'Universitė de Nancago V, Hermann, Paris, 1957 (2nd. ed. 1976).

    Google Scholar 

  5. Kolchin, E.R., Differential Algebra and Algebraic Groups. Academic Press, London, 1973.

    Google Scholar 

  6. Moses,J., Symbolic Integration. Ph.D. Thesis & Project MAC TR-47, M.I.T., 1967.

    Google Scholar 

  7. Moses,J., An Introduction to the Risch Integration Algorithm. Proc. ACM Annual Conference 1976, pp. 425–428.

    Google Scholar 

  8. Norman,A.C. & Davenport,J.H., Symbolic Integration — the Dust Settles? Proc. EUROSAM 79 pp. 398–407. Zbl. 399.68056.

    Google Scholar 

  9. Norman,A.C. & Moore,P.M.A., Implementing the New Risch Integration Algorithm. Proc. 4th. Int. Colloquium on Advanced Computing Methods in Theoretical Physics, Marseilles, 1977.

    Google Scholar 

  10. Risch, R.H., The Problem of Integration in Finite Terms. Trans. A.M.S. 139(1969) pp. 167–189. MR 38(1969) #5759.

    Google Scholar 

  11. Risch,1970 Risch, R.H., The Solution of the Problem of Integration in Finite Terms. Bulletin AMS 76(1970) pp. 605–608. MR 42(1971) #4530.

    Google Scholar 

  12. Risch,1979 Risch, R.H., Algebraic Properties of the Elementary Functions of Analysis. Amer. J. Math. 101(1979) pp. 743–759. MR 81b: 12029.

    Google Scholar 

  13. Rosenlicht,1976 Rosenlicht, M., On Liouville's Theory of Elementary Functions. Pacific J. Math 65(1976), pp. 485–492.

    Google Scholar 

  14. Yun,1977 Yun, D.Y.Y., Fast Algorithm for Rational Function Integration. IBM Research Report RC 6563 (6 Jan. 1977). Proc. IFIP 77 (ed. B. Gilchrist), North-Holland, Amsterdam-New York-Oxford, 1977, pp. 493–498.

    Google Scholar 

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Authors and Affiliations

  1. Emmanuel College, Cambridge, England

    James H. Davenport

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  1. James H. Davenport
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Jacques Calmet

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© 1982 Springer-Verlag Berlin Heidelberg

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Davenport, J.H. (1982). The parallel Risch algorithm (I). In: Calmet, J. (eds) Computer Algebra. EUROCAM 1982. Lecture Notes in Computer Science, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11607-9_17

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  • DOI: https://doi.org/10.1007/3-540-11607-9_17

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11607-3

  • Online ISBN: 978-3-540-39433-4

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