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A Huguenot exile in England, the French mathematician Abraham de Moivre (1667-1754) formed friendships with such luminaries as Edmond Halley and Isaac Newton. Making his living from private tuition, he became a fellow of the Royal Society in 1697 and published papers on a range of topics. Probability theory had been pioneered by Pascal, Fermat and Huygens, with further development by the Bernoullis. Originally published in 1718, The Doctrine of Chances was the first English textbook on the new science and so influential that for a time the whole subject was known by the title of the work. Reissued here is the revised and expanded 1738 second edition which contains the remarkable discovery that when a coin is tossed many times, the binomial distribution may be approximated by the normal distribution. This version of the central limit theorem stands as one of de Moivre's most significant contributions to mathematics.

Games of chance (Mathematics)

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In dem Buch werden folgende Glücksspiele näher untersucht: Zahlenlotto ";6 aus 49";, Auswahlwette ";6 aus 45";, Fußballtoto 11er-Wette, ODDSET-Kombiwette (Sportwette), Lotterien Spiel 77 und Super 6, Glücksspirale, Aktion Mensch-Lotterie (bis März 2000: Aktion Sorgenkind-Lotterie), ARD-Fernsehlotterie ";Die Goldene 1";, Klassenlotterien uns Roulette. Bei den einzelnen Glücksspielen werden die Chancen für die jeweiligen Quoten, soweit möglich, angegeben. Falls die Quoten von der jeweiligen Anzahl der Gewinne in den entsprechenden Klassen abhängen und nicht fest vorgegeben sind, werden die theoretischen (erwarteten) Quoten untersucht. Beim Zahlenlotto wird ferner das Tippverhalten der Spieler untersucht. Falls man sehr beliebte Tippreihen meidet, können dadurch im Gewinnfall die Quoten erhöht werden.

Games of chance (Mathematics) --- Probabilities.

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Games of chance (Mathematics) --- Gambling --- Stochastic inequalities

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Games and elections are fundamental activities in society with applications in economics, political science, and sociology. These topics offer familiar, current, and lively subjects for a course in mathematics. This classroom-tested textbook, primarily intended for a general education course in game theory at the freshman or sophomore level, provides an elementary treatment of games and elections: Starting with basics such as gambling, zero-sum and combinatorial games, Nash equilibria, social dilemmas, and fairness and impossibility theorems for elections, the text then goes further into the theory with accessible proofs of advanced topics such as the Sprague-Grundy theorem and Arrow's impossibility theorem; Uses an integrative approach to probability, game, and social choice theory; Provides a gentle introduction to the logic of mathematical proof, thus equipping readers with the necessary tools for further mathematical studies; Contains numerous exercises and examples of varying levels of difficulty; Requires only a high school mathematical background.

Game theory --- Games of chance (Mathematics) --- Mathematics

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Games of chance (Mathematics). --- Statistical decision.