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Heads or tails : an introduction to limit theorems in probability

By: Lesigne, Emmanuel.
Contributor(s): Pierrehumbert, Anna [tr.].
Material type: materialTypeLabelBookSeries: Student Mathematical Library. v.28.Publisher: Hyderabad Universities Press ; Provindence American Mathematical Society 2005Description: viii, 150p.ISBN: 9789393330178.Subject(s): Limit theorems (Probability theory) | ProbabilitiesDDC classification: 519.2 | L565h Summary: 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.
List(s) this item appears in: New arrival July 04 to 10, 2022
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Item type Current location Collection Call number Status Date due Barcode Item holds
Books Books PK Kelkar Library, IIT Kanpur
General Stacks 519.2 L565h (Browse shelf) Checked out to YOGESH KATARIYA (S2110827300) 26/03/2024 GB2422
Total holds: 0

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.

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