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2 - The Gregorian Calendar

from I - Arithmetical Calendars

Published online by Cambridge University Press:  22 March 2018

Edward M. Reingold
Affiliation:
Illinois Institute of Technology
Nachum Dershowitz
Affiliation:
Tel-Aviv University
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Chapter
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Calendrical Calculations
The Ultimate Edition
, pp. 55 - 74
Publisher: Cambridge University Press
Print publication year: 2018

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References

[1] Explanatory Supplement to the Astronomical Ephemeris and the American Ephemeris and Nautical Almanac, Her Majesty's Stationery Office, London, 1961.
[2] J. A., Ball, Algorithms for RPN Calculators, John Wiley & Sons, New York, 1978.
[3] A., Belenkiy and E. V., Echagüe, “History of One Defeat: Reform of the Julian calendar as Envisaged by Isaac Newton,” Notes & Records of the Royal Society, vol. 59, pp. 223-254, 2005.Google Scholar
[4] G. V., Coyne, M. A., Hoskin, and O., Pedersen, Gregorian Reform of the Calendar: Proceedings of the Vatican Conference to Commemorate Its 400th Anniversary, 1582-1982, Pontifica Academica Scientiarum, Specola Vaticana, Vatican, 1983.Google Scholar
[5] L. E., Doggett, “Calendars,” Explanatory Supplement to the Astronomical Almanac, P. K., Seidelmann, ed., University Science Books, Mill Valley, CA, pp. 575-608, 1992.Google Scholar
[6] J., Dutka, “On the Gregorian Revision of the Julian Calendar,” Mathematical Intelligencer, vol. 10, pp. 56-64, 1988.Google Scholar
[7] ḤF., Fliegel and T. C., van Flandern, “A Machine Algorithm for Processing Calendar Dates,” Communications of the ACM, vol. 11, p. 657, 1968.Google Scholar
[8] J. K., Fotheringham, “The Calendar,” The Nautical Almanac and Astronomical Ephemeris, His Majesty's Stationery Office, London, 1931-1934; revised 1935-1938; abridged 1939-1941.Google Scholar
[9] F. K., Ginzel, Handbuch der mathematischen und technischen Chronologie, vol. 3, J. C., Hinrichs'sche Buchhandlung, Leipzig, 1914. Reprinted by F. Ullmann, Verlag, Zwickau, 1958.Google Scholar
[10] R. W., Gregory, Special Days, Citadel, Secaucus, NJ, 1975. Previous editions appeared under the title Anniversaries and Holidays.Google Scholar
[11] J., Hastings, ed., Encyclopædia of Religion and Ethics, Charles Scribner's Sons, New York, 1911.Google Scholar
[12] L., Lamport, “On the Proof of Correctness of a Calendar Program,” Communications of the ACM, vol. 22, pp. 554-556, 1979.Google Scholar
[13] C. L., Liu, Introduction to Combinatorial Mathematics, McGraw-Hill, New York, 1968.Google Scholar
[14] J., Meeus, Astronomical Algorithms, 2nd edn., Willmann-Bell, Richmond, VA, 1998.Google Scholar
[15] A. K., Michels, The Calendar of the Roman Republic, Princeton University Press, Princeton, NJ, 1967.Google Scholar
[16] G., Moyer, “The Gregorian Calendar,” Scientific American, vol. 246, no. 5, pp. 144-152, May 1982.Google Scholar
[17] R., Poole, “‘Give Us Our Eleven Days!’: Calendar Reform in Eighteenth- Century England,” Past and Present, no. 149, pp. 95-139, November 1995.Google Scholar
[18] V. F., Rickey, “Mathematics of the Gregorian Calendar,” Mathematical Intelligencer, vol. 7, pp. 53-56, 1985.Google Scholar
[19] J., Shallit, “Pierce Expansions and Rules for the Determination of Leap Years,” Fibonacci Quarterly, vol. 32, pp. 416-423, 1994.Google Scholar
[20] R. G., Tantzen, “Algorithm 199: Conversions Between Calendar Date and Julian Day Number,” Communications of the ACM, vol. 6, p. 444, 1963.Google Scholar
[21] J. V., Uspensky and M. A., Heaslet, Elementary Number Theory, McGraw-Hill, New York, 1939.Google Scholar
[22] C., Zeller, “Problema duplex Calendarii fundamentale,” Bulletin Société Mathématique, vol. 11, pp. 59-61, March 1883.Google Scholar
[23] C., Zeller, “Kalender-Formeln,” Acta Mathematica, vol. 9, pp. 131-136, November 1886.Google Scholar

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