probability and statistics taught through the eyes of a detective

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	• Conned Again, Watson! Cautionary Tales of Logic, Math, and Probability Colin Bruce Basic Books, 2002 - 304 pages average customer review:based on 12 reviews view larger image
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highly recommended

probability and statistics taught through the eyes of a detective

The author does a marvelous job of presenting Sherlock Holmes stories through the thought of Dr. Watson, very much in the style of Sir Arthur Conan Doyle. However instead of simple detective mysteries each story has a probabilistic theme.

After reading the first couple of chapters I thought this is great for me but I am a statistician. Could a novice understand the complex explanations and story that enhances ones memory about the principles as the author suggests? I think so. The later chapters convince me.

There the author goes over the waiting time paradox, capture-recapture methods and other related problems in the chapter on the poor observer. The famous Monte Hall problem and the birthday problem are also covered and well explained through the eyes of Watson based on the work of Sherlock Holmes and his brother.

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Sherlock Holmes stories on logic, maths & probability

Twelve short Sherlock Holmes stories challanging logic, probability, statistic, game theory, more or less relevant to daily life. The authors approach of telling the story seen through Holmes and Watson is brilliant (incl. the dialogue between the two). Some stories are a bit simple and boring while others were quite amazing. Example Chapter 7 illustrates the error of assuming that a well-defined ordering retlation must also define a unique hierarchy. In higher mathematics it is quite possible to have x greater than y, y greater than z, and yet z greater than x! Last but not least, the afterword is extremely useful where the author sheds more light on each chapter.

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Great for a math-phobe like me.

I am frankly shocked by the negative reviews, although it could be that the reviewers are math-lovers who just find the stories too basic or something. For me, a relative novice to math thinking, the book is a delight. Bruce manages to capture much of the tone of the original Holmes books and works interesting math illustrations (some, to be fair, a little contrivedly) into the stories. Minus the math, the stories still have enough whimsy, flair, and character development to warrant reading them. Perhaps my expectations were so low for anything to do with a subject I avoid that "Conned Again" is getting all but a free pass from me, but I really enjoy this work and will look for more of Bruce's writing.

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Holmes as a master educator in logic and deduction

Some time ago, Lamarr Widmer, the editor of the problem column of "Journal of Recreational Mathematics" submitted a review of this book to me, in my capacity as book reviews editor of JRM. As soon as I read the first two paragraphs of the review, I knew that I had to read the book. Sherlock Holmes is without question the greatest character to appear in fiction, the style of the stories still inspire many spin-offs. In the science fiction television series, "Star Trek: The Next Generation", the Holmes style of problem solving is used in many episodes. This book presents several stories where Holmes solves problems with a mathematical theme. Each of them is a delight to read and I did a good deal of head scratching as I tried to anticipate the solution to the puzzle.
My favorite story in the collection is "The Case of the Martian Invasion", which, set at the turn of the twentieth century, covers the possibility of heavier-than-air flying machines, "Martian" images on the Moon, crop circles and secret messages being embedded in biblical verse. The proponent of a Martian invasion believes that heavier-than-air machines are possible, putting forward the fundamental principle of using complex machines. That is of course redundancy, where multiple engines are placed on the aircraft in such a way that it can fly with any subset above a certain size. The explanation of the "secret messages" is easy, nothing more than a simple exercise in the probability of the frequency of the appearance of letters and looking hard enough.
The other stories were nearly as interesting and cover many areas of life, the probability of various events being the most common scenario. Game theory and decision theory is also used to solve the cases brought before the greatest detective of all time. Although they are set in the time of Holmes, the events described in the puzzles can still be applied to life in the twenty-first century.
I found this to be one of the best demonstrations of logical deduction based on sound mathematical principles that I have ever seen. Although he is constantly praised for his skill in logical deduction, Holmes also possesses another talent, that of a master teacher.

Published in the recreational mathematics newsletter, reprinted with permission.

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reviews: page 1, 2, 3

In Conned Again, Watson!, Colin Bruce re-creates the atmosphere of the original Sherlock Holmes stories to shed light on an enduring truth: Our reliance on common sense-and ignorance of mathematics-often gets us into trouble. In these cautionary tales of greedy gamblers, reckless businessmen, and ruthless con men, Sherlock Holmes uses his deep understanding of probability, statistics, decision theory, and game theory to solve crimes and protect the innocent. But it's not just the characters in these well-crafted stories that are deceived by statistics or fall prey to gambling fallacies. We all suffer from the results of poor decisions. In this illuminating collection, Bruce entertains while teaching us to avoid similar blunders. From "The Execution of Andrews" to "The Case of the Gambling Nobleman," there has never been a more exciting way to learn when to take a calculated risk-and how to spot a scam.

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