skip to main content
article
Free Access

Notation as a tool of thought

Published:01 August 1980Publication History
First page image

References

  1. 1 Boole. G. An Investigation of the Laws of Thought, Dover Publica tions, N.Y. 1951. Originally published in 1954 by Walton and Maberly, London and by MacMillan and Co., Cambridge. Also available in Volume II of the Collected Logical Works of George Boole, Open Court Publishing Co., La Salle, Ill inois, 1916. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. 2 Cajori, F. A History o/Mathematical Notations. Volume II Open Court Publishing Co., La Salle, Illinois 1929.Google ScholarGoogle Scholar
  3. 3 Faikoff, A.D., and Iverson, K.E. The Evolution of APL, Proceedings of a Conference on the History of Programming Languages, ACM SIGPLAN. 1978. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. 4 APL Languag e Form No. GC26:3847-4, IBM Corporation.Google ScholarGoogle Scholar
  5. 5 Icerson, K.E. Elementary Analysis, APL Press, Pleasantville, N.Y., i976.Google ScholarGoogle Scholar
  6. 6 Iverson, K.E. Algebra: an algorithmic treatment, APL Press. Pleasantville, N.Y.,: 1972.Google ScholarGoogle Scholar
  7. 7 Kerner. I.O. Ein Gesamtschrittverfahren zur Berechnung der Nullstellen yon Polynomen. Numerische Mathematic Vol. 8, 1966, pp. 290-294.Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. 8 Beckenbach. E.F. ed, Applied Combinatorial Mathemattcs, John Wiley and Sons, New York. N.Y., 1964.Google ScholarGoogle Scholar
  9. 9 Tarjan, R.E, Testing Flow Graph Reducibility, Journal of Computer and Systems Sciences. Vol, 9 No. 3. Dec. 1974.Google ScholarGoogle Scholar
  10. 10 Spence, R Resistive Circuit Theory, APL Press. Pleasantville. N.Y. 1972.Google ScholarGoogle Scholar
  11. 11 Iverson, K.E. A Programming Language, John Wiley and Sons. New York N.Y., 1962. Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. 12 lverson, K.E. An Introduction to APL for Scientists and Engineers, APL Press. Pleasantville. N.Y. Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. 13 Orth. D.L. Calculus in a new key, APL Press, Pleasantville, N.Y. 1976Google ScholarGoogle Scholar
  14. 14 Apostol. T.M. Mathematical Analysis. Addison Wesley Publishing Co. Reading, Mass. 1957.Google ScholarGoogle Scholar
  15. 15 Jolley, L.B.W. Summation o/Series, Dover Publications, N.Y.Google ScholarGoogle Scholar
  16. 16 Oldham, K.B., and Spanier, J. The Fractional Calculus, Academic Press, N.Y., 1974.Google ScholarGoogle Scholar
  17. 17 APL Quote Quad, Vol. 9, No. 4, June 1979, ACM STAPLGoogle ScholarGoogle Scholar
  18. 18 Iverson, K.E., Operators and Functions, IBM Research Report RC 7091, 1978.Google ScholarGoogle Scholar
  19. 19 McDonnell. E.E., A Notation for the GCD and LCM Functions, APL 75, Proceedings of an APL Conference, ACM, 1975. Google ScholarGoogle ScholarDigital LibraryDigital Library
  20. 20 Iverson, K.E. Operators. ACM Transactions on Programming Languages And Systems, October 1979. Google ScholarGoogle ScholarDigital LibraryDigital Library
  21. 21 Blaauw, G.A., Digital System Implementation, Prentice- Hall, EngleWood Cliffs. N.J., 1976. Google ScholarGoogle ScholarDigital LibraryDigital Library
  22. 22 Mclntyre, D.B., The Architectural Elegance of Crystals Made Clear by APL, An APL Users Meeting, I.P. Sharp Associates, Toronto. Canada, 1978.Google ScholarGoogle Scholar

Index Terms

  1. Notation as a tool of thought
        Index terms have been assigned to the content through auto-classification.

        Recommendations

        Comments

        Login options

        Check if you have access through your login credentials or your institution to get full access on this article.

        Sign in

        Full Access

        • Published in

          cover image Communications of the ACM
          Communications of the ACM  Volume 23, Issue 8
          Aug. 1980
          55 pages
          ISSN:0001-0782
          EISSN:1557-7317
          DOI:10.1145/358896
          Issue’s Table of Contents

          Copyright © 1980 ACM

          Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

          Publisher

          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 1 August 1980

          Permissions

          Request permissions about this article.

          Request Permissions

          Check for updates

          Qualifiers

          • article

        PDF Format

        View or Download as a PDF file.

        PDF

        eReader

        View online with eReader.

        eReader