Ancient Babylonian algorithms

@article{Knuth1972AncientBA,
  title={Ancient Babylonian algorithms},
  author={Donald Ervin Knuth},
  journal={Commun. ACM},
  year={1972},
  volume={15},
  pages={671-677}
}
  • D. Knuth
  • Published 1 July 1972
  • Physics
  • Commun. ACM
The early origins of mathematics are discussed, emphasizing those aspects which seem to be of greatest interest from the standpoint of computer science. A number of old Babylonian tablets, many of which have never before been translated into English, are quoted. 
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References

SHOWING 1-10 OF 10 REFERENCES

Episodes from the early history of mathematics

1. Babylonian mathematics 2. Early Greek mathematics and Euclid s construction of the regular pentagon 3. Three samples of Archimedean mathematics 4. Ptolemy s construction of a trigonometric table.

Mathematical Cuneiform Texts

A COMPREHENSIVE work on Babylonian mathematics in English has long been wanted. Apart from a few isolated articles in periodicals, the only material available hitherto was in German. The texts…

Mathematische Keilschrift-Texte

THIS Part 3 of the volume of mathematical cuneiform texts forming vol. 3 of Section A of the “Quellen. und Studien zur Geschichte der Mathematik, Astronomie und Physik”, though only supplementary to…

The exact sciences in antiquity.

  • O. Neugebauer
  • Physics
    Acta historica scientiarum naturalium et medicinalium
  • 1951
TLDR
The origin of the history of science in classical readings questions for discussion iup personal websites read about drew brees trupin the source of the materiality of time in antiquity materiale textkulturen.

Mathematical Cuneiform Texts.

Table errata: The art of computer programming, Vol. 2: Seminumerical algorithms (Addison-Wesley, Reading, Mass., 1969) by Donald E. Knuth

Episodes from the Early History of Mathematics.

The Netherlands, 1938, 243 pp. 9. van der Waerden, B.L. Science Awakening. Tr

  • Communications of the ACM July
  • 1954

Textes Math~matiques Babyloniens

  • The Netherlands, 1938,
  • 1938

Seminumerical Algorithms

  • Seminumerical Algorithms
  • 1971