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Nobody since Newton has been able to use geometrical methods to the same extent for the like purposes; and as we read the Principia we feel as when we are in an ancient armoury where the weapons are of gigantic size; and as we look at them we marvel what manner of man he was who could use as a weapon what we can scarcely lift as a burden.
In E. N. Da C. Andrade "Isaac Newton" in J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
Loci: Convergence
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Euler's Analysis of the Genoese Lottery
References
- Todhunter, Isaac, A History of the Mathematical Theory of Probability, Chelsea, NY, 1965 (textually unaltered reprint of the 1865 first edition).
- Calinger, Ronald, Classics of Mathematics, Prentice Hall, Englewood Cliffs, NJ, 1995.
- Dunham, William, Euler: the Master of Us All, Mathematical Assoc. of America, Providence, RI, 1999.
- Dictionary of Scientific Biography, C. C. Gillespie, Ed., Scribner, New York, NY, 1972.
- Euler, Leonhard, Leonhardi Euleri Opera Omnia, Birkhäuser, Basel, 1911-.
- Du Pasquier, Louis Gustave, "Préface de l'editeur," in Leonhardi Euleri Opera Omnia, vol. I.7, Birkhäuser, Basel, 1923.
- Bellhouse, D. R., "The Genoese Lottery," Statistical Science, 6 (1991), 141-148.
- New York Lottery, www.nylottery.org.
- Katz, Victor J., A History of Mathematics: An Introduction, 2nd ed., Addison-Wesley, New York, 1998.
- "Correspondance d'Euler avec Frédéric II", in Leonhardi Euleri Opera Omnia, vol. IVA.6, Birkhäuser, Basel, 1986.
- 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.
- Hald, Anders, A History of Probability and Statistics and Their Applications Before 1750, Wiley, New York, NY, 1990.
- 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.
- Euler, Leonard, "Sur la probablilité des séquences dans la lotterie Génoise," p. 113, in Leonhardi Euleri Opera Omnia, vol. I.7, Birkhäuser, Basel, 1923.
- Euler, Leonard, "Solutio quarundam quaestionum difficiliorum in calculo probabilium," p. 408, in Leonhardi Euleri Opera Omnia, vol. I.7, Birkhäuser, Basel, 1923.
- 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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