An entertaining introduction to one of the most universally relevant and most widely misunderstood branches of mathematics.
Are you a betting person? Here’s how to calculate the odds.
Mathematician Aczel (Pendulum, 2003, etc.) surveys probability theory, using no math more complex than algebra. He defines probability, then devotes each short chapter to explaining how it works in some concrete instance, such as the odds of drawing a spade from a deck of cards. Building from simpler to more complex examples, the author offers insights into phenomena that seem counterintuitive to many nonmathematicians, such as the “gambler’s ruin,” a proof that while the so-called law of averages will in the long run produce results that fit the predictions of simplistic mathematics, there is no guarantee that they will do so in the short run. In one long trial of coin flips, the number of heads stayed above the number of tails for nearly three thousand turns; in the very long run, it did even out, but gamblers relying on a 50-50 split would have been bankrupted long before the law of averages came to their rescue. Another counterintuitive result is the likelihood that in a group of 23 people, 2 will share a birthday; Aczel shows how to calculate it. Other startling coincidences, like a chance acquaintance turning out to be your wife’s high-school classmate, depend on an extended web of interests and relationships that give all of us more in common than we realize. The author even manages to tie something as apparently esoteric as Baye’s Theorem to everyday discourse by way of the “Monty Hall Problem,” based on the three doors contestants had to choose among on Let’s Make a Deal. A set of problems at the end lets readers test their understanding, and an appendix applies Aczel’s insights to common gambling games.
An entertaining introduction to one of the most universally relevant and most widely misunderstood branches of mathematics.Pub Date: Nov. 1, 2004
ISBN: 1-56858-316-8
Page Count: 176
Publisher: N/A
Review Posted Online: June 24, 2010
Kirkus Reviews Issue: Sept. 15, 2004
BOOK REVIEW
BOOK REVIEW
BOOK REVIEW
Stricter than, say, Bergen Evans or W3 ("disinterested" means impartial — period), Strunk is in the last analysis...
Privately published by Strunk of Cornell in 1918 and revised by his student E. B. White in 1959, that "little book" is back again with more White updatings.
Stricter than, say, Bergen Evans or W3 ("disinterested" means impartial — period), Strunk is in the last analysis (whoops — "A bankrupt expression") a unique guide (which means "without like or equal").Pub Date: May 15, 1972
ISBN: 0205632645
Page Count: 105
Publisher: Macmillan
Review Posted Online: Oct. 28, 2011
Kirkus Reviews Issue: May 1, 1972
This is not the Nutcracker sweet, as passed on by Tchaikovsky and Marius Petipa. No, this is the original Hoffmann tale of 1816, in which the froth of Christmas revelry occasionally parts to let the dark underside of childhood fantasies and fears peek through. The boundaries between dream and reality fade, just as Godfather Drosselmeier, the Nutcracker's creator, is seen as alternately sinister and jolly. And Italian artist Roberto Innocenti gives an errily realistic air to Marie's dreams, in richly detailed illustrations touched by a mysterious light. A beautiful version of this classic tale, which will captivate adults and children alike. (Nutcracker; $35.00; Oct. 28, 1996; 136 pp.; 0-15-100227-4)
Pub Date: Oct. 28, 1996
ISBN: 0-15-100227-4
Page Count: 136
Publisher: Harcourt
Review Posted Online: May 19, 2010
Kirkus Reviews Issue: Aug. 15, 1996
BOOK REVIEW
BOOK REVIEW
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