Euler's Analysis of the Genoese Lottery - References

1. Todhunter, Isaac, A History of the Mathematical Theory of Probability, Chelsea, NY, 1965 (textually unaltered reprint of the 1865 first edition).
    
2. Calinger, Ronald, Classics of Mathematics, Prentice Hall, Englewood Cliffs, NJ, 1995.
    
3. Dunham, William, Euler: the Master of Us All, Mathematical Assoc. of America, Providence, RI, 1999.
    
4. Dictionary of Scientific Biography, C. C. Gillespie, Ed., Scribner, New York, NY, 1972.
    
5. Euler, Leonhard, Leonhardi Euleri Opera Omnia, Birkhäuser, Basel, 1911-.
    
6. Du Pasquier, Louis Gustave, "Préface de l'editeur," in Leonhardi Euleri Opera Omnia, vol. I.7, Birkhäuser, Basel, 1923.
    
7. Bellhouse, D. R., "The Genoese Lottery," Statistical Science, 6 (1991), 141-148.
    
8. New York Lottery, www.nylottery.org.
    
9. Katz, Victor J., A History of Mathematics: An Introduction, 2nd ed., Addison-Wesley, New York, 1998.
    
10. "Correspondance d'Euler avec Frédéric II", in Leonhardi Euleri Opera Omnia, vol. IVA.6, Birkhäuser, Basel, 1986.
     
11. Euler, Leonard, "Réflexions sur une espèce singulière de loterie nommée loterie Génoise," p. 466, in Leonhardi Euleri Opera Omnia, vol. I.7, Birkhäuser, Basel, 1923.
     
12. Hald, Anders, A History of Probability and Statistics and Their Applications Before 1750, Wiley, New York, NY, 1990.
     
13. Euler, Leonard, "Solution d'une question très difficile dans le calcul des probabilité," p. 162, in Leonhardi Euleri Opera Omnia, vol. I.7, Birkhäuser, Basel, 1923.
     
14. Euler, Leonard, "Sur la probablilité des séquences dans la lotterie Génoise," p. 113, in Leonhardi Euleri Opera Omnia, vol. I.7, Birkhäuser, Basel, 1923.
     
15. Euler, Leonard, "Solutio quarundam quaestionum difficiliorum in calculo probabilium," p. 408, in Leonhardi Euleri Opera Omnia, vol. I.7, Birkhäuser, Basel, 1923.
     
16. Euler, Leonard, "Analyse d'une problème du calcul des probabilité," p. 495, in Leonhardi Euleri Opera Omnia, vol. I.7, Birkhäuser, Basel, 1923.
     

Department of Mathematics and Computer Science

Adelphi University

Garden City, NY 11530

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Editor’s note: This article was published in April 2004.