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Mathematics of Computation

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Recent Mathematical Tables


Journal: Math. Comp. 3 (1948), 84-116
DOI: https://doi.org/10.1090/S0025-5718-48-99552-0
Corrigendum: Math. Comp. 3 (1948), 227.
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References [Enhancements On Off] (What's this?)

  • 1. In connection with this project £809 were spent, of which apparently £259 was for computing and £550 for printing. There was a reference to these tables in nature, v. 15, 1877, p. 252. After Glaisher's death in 1928 30 manuscript volumes covering the work of these ten-place tables became the property of BAASMTC.. What was first planned as a 100-page Introduction to the Tables later developed into a planned ``Memoir on the theta and omega functions'' by H. J. S. Smith (1826-1883), to follow the Tables; but Smith died before this was quite complete. It is printed in Smith's Coll. Math. Papers, v. 2, 1894, p. 415-621. Four of the above-mentioned 17 letters are from H. J. S. Smith (1873-76) and deal in part with the ``Introduction."
  • [2] J. Hoüel, Recueil de Formules et de Tables Numériques, third ed., Paris, 1885, p. [57]-[59].
  • [1] H. W. Richmond. ``On integers which satisfy the equation $ {t^3} \pm {x^3} \pm {y^3} \pm {z^3} = 0$,'' Camb. Phil. Soc., Trans., v. 22, no. xix, 1920, p. 389-403.
  • [1] E. Cahen, Théorie des Nombres, v. 1, Paris, 1914, p. 378-381.
  • 2. Compare MTAC, v. 2, p. 252.
  • [1] P. L. Chebyshev, (a) ``Sur les quadratures,'' Jn. de Math., s. 2, v. 19, 1874, p. 19-34; (b) Assoc. Française pour l'Avanc. d. Sci., Compte Rendu, Lyon, 1873, p. 69-82; (c) Oeuvres, ed. by A. Markov & N. Sonin. St. Petersburg, v. 2, 1907, p. 165-180. Chebyshev's formula was suggested by a formula due to B. Bronwin, Phil. Mag., v. 34, 1849, p. 262.
  • [1] Agner K. Erlang, (a) ``Løsning af nogle Problemer fra Sandsynlighedsregningen af Betydning for de automatiske Telefoncentraler,'' Elektroteknikeren, Copenhagen, v. 13, 1917, p. 5-13; (b) ``Lösung einiger Probleme der Wahrscheinlichkeitsrechnung von Bedeutung für die selbsttätigen Fernsprechämter,'' Elektrotechn. Z., v. 39, 1918, p. 504-508, with tables, translation of (a). Also T. C. Fry, Probability and its Engineering Uses, New York, 1928, p. 342-347.
  • [1] M. J. O. Strutt, Phys. Z., v. 69, 1931, p. 597, and Lamésche, Mathieusche und verwandte Funktionen in Physik u. Math., Erg. d. Math., v. 1, no. 3, 1932.
  • [2] Ian Sandeman, R. Soc. Edinburgh, Proc., v. 55, 1935, p. 77.
  • [1] M. Bôcher, loc. cit.
  • [2] J. Dougall, Edinb. Math. Soc., Proc., v. 18, 1900, p. 33-83.
  • [3] G. I. Taylor, R. Soc. London, Proc., v. 132A, 1931, p. 499-507.
  • [4] S. Goldstein, R. Soc. London, Proc., v. 132A, 1931, p. 524-548.
  • [5] H. Jeffreys, RAS, Mo. Not., Geophys. Suppl., v. 2, 1928-31, p. 101-111.
  • [6] S. Sakuraba, Geophys. Mag., Tokyo, v. 9, 1935, p. 211-214.
  • [7] F. Borgnis, Ann. d. Physik, s. 5, v. 31, 1938, p. 745-754.
  • [8] F. Emde, Z. f. angew. Math. u. Mech., v. 19, 1939, p. 101-118.
  • [9] P. Krasnushkin, Jn. Phys., S. S. S. R., v. 10, 1946, p. 443.
  • [1] Compare MTAC, v. 1, p. 157.--Editor.
  • [1] See MTAC, v. 2, p. 83, RMT 297, by Professor C. H. Smiley.
  • [2] Reprinted, by permission, from Institute of Navigation [British], Jn., v. 1, no. 2, 1948.
  • [1] H. N. Russell & H. Shapley, ``On darkening at the limb in eclipsing variables,'' Astrophysical Jn., v. 36, 1912, p. 239-254, 385-408.


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-48-99552-0
Article copyright: © Copyright 1948 American Mathematical Society

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