The Signal and the Noise
New York Times blogger Nate Silver demonstrates how probability and statistical thinking can be used to analyze practical problems in our society. A lively, practical, and informative book!
Mathematics
Mammogram Math (The Way We Live Now)
Imagine a highly reliable cancer test. It detects 95% of a certain type of cancer, and has a "false positive" rate of only 1%. This test is used on a population in which this type of cancer occurs in 0.5%. One day your doctor tells you that you have tested positive. What is the chance that you are actually sick? Surprisingly, it is only about 32 percent!
Of Beauty, Sex and Power
Having just returned from the Gordon Research Conference on Chemical Education Research and Practice, I can attest to the central role that statistics plays in chemical education.
The Symmetries of Things
This beautiful book could certainly enhance your coffee table, but don't buy it just for its looks. Be prepared to spend some time with it, and join the wonder that mathematicians are expressing at the brilliance of this new way of describing and inventing symmetries.
Group Theory in the Bedroom, and Other Mathematical Diversions
I am an enthusiastic fan of Brian Hayes' "Computing Science" column in the Sigma Xi publication, American Scientist, which is the source of most of the essays in this book. Before that, I read his articles in The Sciences, a now-defunct but beautiful little magazine once published by the New York Academy of Sciences.
The Drunkard's Walk: How Randomness Rules Our Lives
George Gamow introduced me to Monte Carlo methods in a chapter of "One Two Three Infinity" (Hal's Pick of April, 2001) that I first read when I was about twelve. His vivid description and witty illustration of the path of a staggering drunk comes clearly to mind even these many decades later, and it surely inspired my research on a number of projects.
Numbers Guy: Are our brains wired for math?
I have noticed a significant decline over the years in the ability of my students to estimate quantities, and have attributed it to an increased reliance on calculators and computers, but it may be a consequence of more subtle differences in brain development.
The Black Swan: The Impact of the Highly Improbable
Like Malcolm Gladwell s Tipping Point , Nassim Taleb s Black Swan threatens to become a permanent part of the lexicon. In this best-selling book, he makes the argument that evolution has prepared us to over-emphasize continuous, Gaussian relationships because they occur much more frequently than do rare but momentous, unpredictable events.
The Golden Ratio: The Story of Phi, The World's Most Astonishing Number
1.618033989... is a magic number.
A Mathematician at the Ballpark: Odds and Probabilities for Baseball Fans
Back in the 1960's, I was captivated by "Percentage Baseball" by Earnshaw Cook. Now long out of print and a collector's item, this book was a forerunner of the "science" of SABRmetrics (after the Society for American Baseball Research) that refers to the scientific (statistical) evaluation of the game.
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