Heads or Tails: An Introduction to Limit Theorems in Probability - Softcover

Emmanuel Lesigne

Softcover

ISBN 10: 0821837141 ISBN 13: 9780821837146

Publisher: American Mathematical Society, 2005

Synopsis

Everyone knows some of the basics of probability, perhaps enough to play cards. Beyond the introductory ideas, there are many wonderful results that are unfamiliar to the layman, but which are well within our grasp to understand and appreciate. Some of the most remarkable results in probability are those that are related to limit theorems--statements about what happens when the trial is repeated many times. The most famous of these is the Law of Large Numbers, which mathematicians, engineers, economists, and many others use every day. In this book, Lesigne has made these limit theorems accessible by stating everything in terms of a game of tossing of a coin: heads or tails. In this way, the analysis becomes much clearer, helping establish the reader's intuition about probability. Moreover, very little generality is lost, as many situations can be modelled from combinations of coin tosses. This book is suitable for anyone who would like to learn more about mathematical probability and has had a one-year undergraduate course in analysis.

About this title

Review

"This is a delightful little book ... the author converys an impressive and well-written account of central ideas of limit theorems in probability ... It is refreshing to have a book that starts with such a simple experiment with two outcomes and takes us as far as it does into the world of probability theory." ---- MAA Reviews

"The proposal is very attractive. ... (It) is helpful for the probability community to have access to this book, which contains a unified and elementary presentation of limit theorems..." ---- Zentralblatt Math

Edition details

• Publisher: American Mathematical Society
• Publication date: 2005
• Language: English
• ISBN 10: 0821837141
• ISBN 13: 9780821837146
• Binding: Paperback
• Number of pages: 150