Lesigne introduces probability theory, but with a twist. He intends to make the intuitive idea that you will get as many "heads" as "tails" in a fair coin toss precise. Working from the assumption readers have completed a first- or second-year undergraduate course in analysis, which included some work in measure theory, Lesigne covers modeling an experiment in probability, random variables, independence, binomial distribution, the strong and weak laws of large numbers, the large deviation estimate, the central limit theorem, the moderate deviations estimate, the local limit theorem, the arcsine law, the law of iterated logarithm, and the recurrence of random walks. Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)