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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Bartholomäus Pitiscus (1561–1613)
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by R. C. Archibald PDF
Math. Comp. 3 (1949), 390-397 Request permission
    Gass, Allg. Deutsche Biographie. Leipzig, v. 26, 1888. A. G. Kästner, Geschichte der Mathematik. Göttingen, v. 1, 1796, p. 564-565, 581-590, 612-626; v. 2, 1797, p. 743-746. Delambre, Histoire de l’Astronomie Moderne, v. 2. Paris, 1821, p. 26-35. G. C. F. M. Riche de Prony, “Eclaircissemens sur un point de l’histoire des tables trigonométriques,” Mémoires de l’institut Nat. d. Sci. et Arts, Sci. Math. et Phys., Paris, v. 5, 1804, p. 67-93. DeMorgan, “On the almost total disappearance of the earliest trigonometrical canon,” RAS, Mo. Not., v. 6, 1845, p. 221-228; reprinted with an addition in Phil. Mag., s. 3, v. 26, 1845, p. 517-526. Dealing chiefly with the Rheticus table of 1551, no. 13. A. DeMorgan, “Table,” in The English Cyclopaedia, Arts and Science Sect., London, v. 7, 1861, cols., 987-990. J. W. L. Glaisher, BAASMTC, BAAS Report 1873, 1873, p. 1-175 “Rheticus” and “Pitiscus,” p. 43-45, 158. N. L. W. A. Gravelaar, “Pitiscus’ Trigonometria,” Nieuw Archief voor Wiskunde, s. 2, v. 3, p. 253-278, 1898. This valuable article contains complete titles, signatures, subheadings and titles for the four Pitiscus Trigonometries, nos. 1, 2, 4, 6. M. Cantor, Vorlesungen über Geschichte der Mathematik. Leipzig, v. 2, second ed., 1900, Pitiscus, p. 603-604, 619, 642, 646-647, etc. A. von Braunmühl, Vorlesungen über Geschichte der Trigonometrie, Erster Teil. Leipzig, 1900, Rheticus and Pitiscus, p. 144-148, 212-226; Teil 2, 1903, various references to Pitiscus. Napier Tercentenary Memorial Volume, ed. by C. G. Knott. Publ. for the R. Soc. Edinburgh, 1915; “The great tables preceding the discovery of logarithms,” p. 213-218, by R. A. Sampson. F. Cajori, A History of Mathematical Notations, v. 1, Chicago, 1928, “Did Pitiscus use the decimal point?,” p. 317-323. Catalogue of the Crawford Library of the Royal Observatory Edinburgh. Edinburgh, 1890. Pitiscus and Rheticus entries are here of interest to us. Our words tangent and secant are also due to a sixteenth century writer, Thomas Fincke (1561-1656), a Dane, in his Geometriae Rotundi Libri XIIII ad Fridericum secundum. Basle, 1583; second ed. 1591. Bibliothèque Nationale, Catalogue Général, Paris, v. 138, 1936, entries under Pitiscus. A. W. Pollard & G. R. Redgrave, A Short-Title Catalogue of Books Printed . . . 1475-1640. . . . London, 1926. STC. Two errors in Pitiscus listings. W. W. Bishop, A Checklist of American Copies of “Short-Title Catalogue” Books. Ann Arbor, Mich., 1944. STCA. C. K. Edmonds, Huntington Library Supplement to the Short Title Catalogue, Huntington Lib. Bull., no. 4, 1933. STCH.
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Additional Information
  • © Copyright 1949 American Mathematical Society
  • Journal: Math. Comp. 3 (1949), 390-397
  • MSC: Primary 01.0X
  • DOI:
  • MathSciNet review: 0028245