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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Von Neumann’s contributions to automata theory
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by Claude E. Shannon PDF
Bull. Amer. Math. Soc. 64 (1958), 123-129
References
  • Arthur W. Burks, Herman H. Goldstine, and John von Neumann, Preliminary Discussion of the Logical Design of an Electronic Computing Instrument, Institute for Advanced Study (IAS), Princeton, N.J., 1947. 2d ed. MR 0022442
  • John von Neumann and H. H. Goldstine, Numerical inverting of matrices of high order, Bull. Amer. Math. Soc. 53 (1947), 1021–1099. MR 24235, DOI 10.1090/S0002-9904-1947-08909-6
  • Herman H. Goldstine and John von Neumann, Planning and Coding of Problems for an Electronic Computing Instrument, Institute for Advanced Study (IAS), Princeton, N.J., 1947. MR 0022443
    • 4. Von Neumann, Planning and coding of problems for an electronic computing instrument. Part II, Vol. II. With H. H. Goldstine. Report prepared for U. S. Army Ord. Dept. under Contract W-36-034-ORD-7481, 1948, 68 pp. 5. Von Neumann, Planning and coding of problems for an electronic computing instrument. Part II, Vol. III. With H. H. Goldstine. Report prepared for U. S. Army Ord. Dept. under Contract W-36-034-ORD-7481, 1948, 23 pp. 6. Von Neumann, The future of high-speed computing. Proc., Comp. Sem., Dec. 1949, published and copyrighted by IBM, 1951, p. 13.
  • Herman H. Goldstine and John von Neumann, Numerical inverting of matrices of high order. II, Proc. Amer. Math. Soc. 2 (1951), 188–202. MR 41539, DOI 10.1090/S0002-9939-1951-0041539-X
  • John von Neumann, The general and logical theory of automata, Cerebral Mechanisms in Behavior. The Hixon Symposium, John Wiley & Sons, Inc., New York, N.Y.; Chapman & Hall, Ltd., London, 1951, pp. 1–31; discussion, pp. 32–41. MR 0045446
    • 9. Von Neumann, Entwicklung und Ausnutzung neuerer mathematischer Maschinen. Arbeitsgemeinschaft fur Forschüng des Landes Nordrhein-Westfalen, Heft 45. Düsseldorf, September 15, 1954.
  • J. von Neumann, Probabilistic logics and the synthesis of reliable organisms from unreliable components, Automata studies, Annals of Mathematics Studies, no. 34, Princeton University Press, Princeton, N.J., 1956, pp. 43–98. MR 0077479
    • 11. Von Neumann, The Silliman Memorial Lectures. (In press). Yale University Press. To be published, 1958. 12. Von Neumann, Unfinished manuscript for the University of Illinois Press relating to the theory of automata and, particularly, self-reproducing machines.
Additional Information
  • Journal: Bull. Amer. Math. Soc. 64 (1958), 123-129
  • DOI: https://doi.org/10.1090/S0002-9904-1958-10214-1
  • MathSciNet review: 0092240