Wibold's Ludus Regularis - References - Acknowledgment - About the Authors

References

[1] Wibold ou Wibald. Volume 50 (WA-WIM) of Biographie Universelle Ancienne et Moderne. L. G. Michaud, Paris, 1827.

[2] Balderic. Chronicon Cameracense et Atrebatense. George Colvener, editor. Ioannis Bogardi, 1615.

[3] Baudri ou Balderic. Volume 3 (BAM-BER) of Biographie Universelle Ancienne et Moderne. Madame C. Desplaces, Paris, 1854.

[4] Balderic. Gesta Episcoporum Cameracensium edente L. C. Bethmann, Volume VII of Monumenta Germaniæ Historica. Societatis Aperiendis Fontibus Rerum Gemanicarum Medii Aevi, Hanover, 1846.

[5] Wiboldi Cameracensis. Patrologia Latina Cursus Completus, Volume 134. Jacques-Paul Migne, editor. Paris, 1853.

[6] Corpus Juris Canonici. The Catholic Encyclopedia, Volume 4 (Cland­–Diocesan). The Universal Knowledge Foundation, Inc., New York, 1913.

[7] C. Chabaneau. Les sorts des Apôtres. Revue des langues romanes, 17–18:157–264, 1880.

[8] Dionysius Exiguus. Patrologia Latina Cursus Completus, Volume 67. Jacques-Paul Migne, editor. Paris, 1865.

[9] Will Durant. The Story of Civilization: Part IV. The age of faith. Simon and Schuster, 1950.

[10] Philippe Flajolet, Danièle Gardy, and Loöys Thirmonier. Birthday paradox, coupon collectors, caching algorithms and self-organizing search. Discrete Applied Mathematics, 39:207–229, 1992.

[11] Vincent Foster Hopper. Medieval Number Symbolism: Its sources, meaning, and influence on thought and expression. Dover Publications, Inc., 2000. Originally published by Columbia University Press, 1938.

[12] K. Kreith and Judith Kysh. The fourth way to sample k objects from a collection of n. The Mathematics Teacher, 81:14–149, 1988.

[13] André Le Glay. Chronique de Balderic. Levrault, J.-A. Mercklein, and Techéner, Paris, 1834.

[14] Thomas More and Raphe Robynson. Utopia. London, 1551. Second and revised edition, 1556. Numerous reprints.

[15] H. J. R. Murray. The mediæval games of tables. Medium ævum, X:57–69, 1941.

[16] Faverot and Petit. Chronique d'Arras et de Cambrai. Lemaitre, Valenciennes, 1836.

[17] Jorge-Nuno Silva. On mathematical games. BSHM Bulletin, 26:80–104, 2011.

Acknowledgment

The authors thank Cyril Whitaker, S.J. of Xavier University for his assistance in interpreting the Latin of the original, Doug Ensley and John Ensley for assistance with the game simulator, two anonymous referees for valuable suggestions that greatly improved this article, and the editor.

About the Authors

Richard Pulskamp is Professor of Mathematics and Computer Science at Xavier University in Cincinnati, Ohio. He received his PhD in mathematical statistics from the University of Cincinnati. His research interests currently lie in the history of probability and statistics.

Daniel E. Otero received his PhD from Penn State University in 1987 and, after a two-year post-doctoral position at Syracuse University, joined the faculty at Xavier University. He was elected Chair of the History of Mathematics SIGMAA in 2012, and is the 2014-2015 Chair of the MAA Ohio Section and its Archivist as well. With Daniel J. Curtin (Northern Kentucky University), he organizes the ORESME Reading Group, a seminar that meets twice a year in the Cincinnati area to read important historical mathematical texts.