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Mathematics of Computation

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Recent Mathematical Tables

Journal: Math. Comp. 1 (1943), 103-120
Corrigendum: Math. Comp. 3 (1948), 147.
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  • [1] Emde's reference is doubtless to B.A.A.S., Mathematical Tables, v. 1, Circular and Hyperbolic Functions, Exponential Sine and Cosine Integrals, Factorial (Gamma) and Derived Functions, Integrals of Probability Integral, London, 1931; and v. 2, Emden Functions being Solutions of Emden's Equation together with Certain Associated Functions, London, 1932. The first volume published by the Committee was, however, A. J. C. Cunningham's A Binary Canon, London, 1900, viii, 172 p. In 1901 the Committee recommended the publication of the same author's Quadratic Partitions, but this work was published otherwise in 1904.--Editor.
  • [2] The ``Index of tables of the elementary transcendentals,'' occupying p. 76-78 of the second edition, has been revised and improved on p. 299-301 of the third edition. The date of publication (1921) of U. Meyer, Fluchtlinientafeln des Hyperbeltangens einer komplexen Veränderlichen is, however, still lacking.
  • [1] There was a second edition of this work, Supplément Logarithmique par Leonelli; précédé d'une notice sur l'auteur par J. Hoüel, Paris 1875, x, 75 p. This was reprinted from Publications de la Société des Bibliophiles de Guyenne. It was translated into German: o Leonelli's logarithmische Supplemente ... aus dem Französischen nebst einigen Zusätzen von G. W. Leonhardi ..., Dresden, 1806, 88 p. There was also an Italian edition, Teorica e Pratica dei Logaritmi di Addizione e di Sottrazione ... esposta con Tavole Calcolate a sette decimali dall' ingegnere, Pietro Caminati, Novara, 1879, 79 p. This pamphlet was reprinted from o Rivista di Matematica Elementare, s. 2, v. 1, 1879.
  • [2] C. F. Gauss, ``Tafel zur bequemern Berechnung des Logarithmen der Summe oder Differenz zweier Grössen, welche selbst nur durch ihre Logarithmen gegeben sind,'' Monatliche Correspondenz (Zach), v. 26, 1812, p. 498-528. The table, which fills 27 small octavo pages, was constructed ``many years ago,'' suggesting 1802 rather than 1806 when the German edition was published. The text, but not the table, was reprinted in Gauss, Werke, v. 3, Göttingen, 1866 and 1876, p. 244-246. Gauss's table is exactly reprinted in J. Pasquich, Abgekürtzte logarithmisch-trigonometrische Tafeln ..., Leipzig, 1817; see Gauss, Werke, v. 3, p. 246-250. It was also added to J. de La Lande's Tables de Logarithmes ..., in an edition edited by H.G. Köhler in o 1827; third ed., Leipzig, 1849, p. 213-250. 8.8$ \times$12.8 cm. The text (p. 251-260) exhibits applications of such a table.
  • [3] Tafel zur bequemern Berechnung des Logarithmen der Summe oder Differenz zweyer Grössen welche selbst nur durch ihre Logarithmen gegeben sind, Altona 1817. The Latin title on the opposite page is dated 1818, while the Introduction has the date March 1815. The work was reviewed by Gauss; see his Werke, v. 3, p. 250-252.
  • [1] C. Zener and V. Guillemin, ``The $ {\text{B}}$-state of the hydrogen molecule,'' Phys. Rev., s. 2, v. 34, 1929, p. 999-1009.
  • [2] N. Rosen, ``Normal state of the hydrogen molecule,'' Phys. Rev., s. 2, v. 38, 1931, p. 2099-2114 (see especially p. 2109-2110).
  • [3] T. Invi, ``A contribution to the theory of the hydrogen molecule,'' Phys. Math. So. Japan, Proc., s. 3, v. 20, 1938, p. 770-779.
  • [4] J. H. Bartlett and W. H. Furry, ``Valence forces in lithium and beryllium,'' Phys. Rev., s. 2, v. 38, 1931, p. 1615-1622.
  • [6] A. Unsöld, ``Zur Deutung der Intensitätsverteilung in den Fraunhoferschen Linien, II. Teil: Die Intensität der Linienflügel-approximative Lösung der Schwarzschildschen Integralgleichung für eine beliebig geschichtete Atmosphäre,'' Zeit. f. Astrophysik, v. 4, 1932, p. 339-357.
  • [6] Rama Dhar Misra, On the stability of crystal lattices. II, Proc. Cambridge Philos. Soc. 36 (1940), 173–182. MR 0001665
  • [7] E. Gold, ``The isothermal layer of the atmosphere and atmospheric radiation,'' R. So. London, Proc., 82A, 1909, p. 62.

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Article copyright: © Copyright 1943 American Mathematical Society

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