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Student Mathematical Library
2011; 237 pp; softcover
List Price: US$42
Member Price: US$33.60
Order Code: STML/57
Heads or Tails: An Introduction to Limit Theorems in Probability - Emmanuel Lesigne
This book explores four real-world topics through the lens of probability theory. It can be used to supplement a standard text in probability or statistics. Most elementary textbooks present the basic theory and then illustrate the ideas with some neatly packaged examples. Here the authors assume that the reader has seen, or is learning, the basic theory from another book and concentrate in some depth on the following topics: streaks, the stock market, lotteries, and fingerprints. This extended format allows the authors to present multiple approaches to problems and to pursue promising side discussions in ways that would not be possible in a book constrained to cover a fixed set of topics.
To keep the main narrative accessible, the authors have placed the more technical mathematical details in appendices. The appendices can be understood by someone who has taken one or two semesters of calculus.
Undergraduate students interested in the connections of mathematics (specifically, probability and statistics) and real-life stories.
"This nice little book by Grinstead, Peterson and Snell is devoted to four real world applications of probability theory. While the technical level is kept at a minimum, the authors focus on explaining how the real world problems can be translated into the language of probability and spend large parts of the text on motivating the models they use. This is done mostly by a large number of plots such that also readers with less mathematical background get a good feeling for the intuition behind the models . . . It was a great pleasure for me to read this book. In many parts, it reads almost like a novel but of course a very instructive one. At the same time, the text is a valuable source for any course on basic probability in giving a very detailed picture of how the theory can be used in real world applications."
-- H. M. Mai, Zentralblatt MATH
"This book is the product of three authors who work together on Chance News, an online newsletter that reviews current issues in the news relating to probability and statistics. . . . Indeed, it turned out to be a gem. . . . This is a lively, conversational book, full of the good writing that characterized Chance News over the years. . . . One of the many strengths of the book is the authors' ability to take a question and turn around and around to examine it from many sides without preconceived ideas. It's a good model for students."
-- Bill Satzer, MAA Reviews
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