The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis

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JHU Press, 2006 - 430 pàgines
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Jacob Bernoulli's Ars Conjectandi, published posthumously in Latin in 1713 by the Thurneysen Brothers Press in Basel, is the founding document of mathematical probability. Here, Edith Dudley Sylla offers the first complete English translation of this monumental work.

Part I reprints and reworks Huygens's On Reckoning in Games of Chance. Part II offers a thorough treatment of the mathematics of combinations and permutations, including the numbers since known as "Bernoulli numbers." In Part III, Bernoulli solves more complicated problems of games of chance using that mathematics. In the final part, Bernoulli's crowning achievement in mathematical probability is manifest: he applies the mathematics of games of chance to the problems of epistemic probability in civil, moral, and economic matters, proving what we now know as the weak law of large numbers.

Sylla provides an extensive introduction and detailed translator's notes. She includes as supplemental texts Bernoulli's "Letter to a Friend on Sets in Court Tennis" and "Thesis 32" of Theses Logicae de conversione et oppositione enunciationum.

 

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Continguts

INTRODUCTION
1
THE ART OF CONJECTURING
127
Translators Commentary on The Art of Conjecturing
341
Letter to a Friend on Sets in Court Tennis
363
Translators Commentary on the Letter to a Friend
395
Bibliography
405
Index
421
Copyright

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Quant a l’autor (2006)

Edith Dudley Sylla is a professor of history at North Carolina State University.

Informació bibliogràfica