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Classic Problems of Probability

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ISBN-10: 1118063252

ISBN-13: 9781118063255

Edition: 2012

Authors: Prakash Gorroochurn

List price: $65.95
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Description:

Detailing the history of probability, this book examines the classic problems of probability that have shaped the field and emphasizes problems that are counter-intuitive by nature.  Classic Problems of Probability is rich in the hostory of probability while keeping the explanations and discussions as accessible as possible.  Each of 35 presented problems end with a listing of the latest relevant publications on the topic, and the author provides detailed and rigorous mathematical proofs as needed.  For example, in the discussion of the Buffon needle problem, readers will find much more than the conventional discussion found in other books on the topic.  The author discusses alternative proofs by Barbier that lead to much more profound and general results. The choice of random variables for which a uniform distribution is possible is also presented, which then naturally leads to a discussion on invariance.  Likewise, the discussion of Bertrand’s chord paradox involves much more than stating there are three well-known possible solutions to the problems; rather, the athor discusses the implications of the indeterminacy of the problem as well as the contributions made by Poincare and Jaynes.  This approach was used for all of the problems in the book.
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Book details

List price: $65.95
Copyright year: 2012
Publisher: John Wiley & Sons, Incorporated
Publication date: 5/2/2016
Binding: Paperback
Pages: 328
Size: 6.10" wide x 9.25" long x 0.50" tall
Weight: 1.166
Language: English

Preface
Acknowledgments
Cardano and Games of Chance (1564)
Galileo and a Discovery Concerning Dice (1620)
The Chevalier de M�r� Problem I: The Problem of Dice (1654)
The Chevalier de M�r� Problem H: The Problem of Points (1654)
Huygens and the Gambler's Ruin (1657)
The Pepys-Newton Connection (1693)
Rencontres with Montmort (1708)
Jacob Bernoulli and his Golden Theorem (1713)
De Moivre's Problem (1730)
De Moivre, Gauss, and the Normal Curve (1730, 1809)
Daniel Bernoulli and the St Petersburg Problem (1738)
d'Alembert and the "Croix ou Pile" Article (1754)
d'Alembert and the Gambler's Fallacy (1761)
Bayes, Laplace, and Philosophies of Probability (1764, 1774)
Leibniz's Error (1768)
The Buffon Needle Problem (1777)
Bertrand's Ballot Problem (1887)
Bertrand's Strange Three Boxes (1889)
Bertrand's Chords (1889)
Three Coins and a Puzzle from Galton (1894)
Lewis Carroll's Pillow Problem No. 72 (1894)
Borel and a Different Kind of Normality (1909)
Borel's Paradox and Kolmogorov's Axioms (1909, 1933)
Of Borel, Monkeys, and the New Creationism (1913)
Kraitchik's Neckties and Newcomb's Problem (1930, 1960)
Fisher and the Lady Tasting Tea (1935)
Benford and the Peculiar Behavior of the First Significant Digit (1938)
Coinciding Birthdays (1939)
L�vy and the Arc Sine Law (1939)
Simpson's Paradox (1951)
Gamow, Stern, and Elevators (1958)
Monty-Hall, Cars, and Goats (1975)
Parrondo's Perplexing Paradox (1996)
Bibliography
Photo Credits
Index