# Heads or tails : an introduction to limit theorems in probability

##### By: Lesigne, Emmanuel.

##### Contributor(s): Pierrehumbert, Anna [tr.].

Material type: BookSeries: 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.Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|

Books | PK Kelkar Library, IIT Kanpur | General Stacks | 519.2 L565h (Browse shelf) | Checked out to YOGESH KATARIYA (S2110827300) | 26/03/2024 | GB2422 |

##### Browsing PK Kelkar Library, IIT Kanpur Shelves , Collection code: General Stacks Close shelf browser

519.2 L43p Probability in physics | 519.2 L521a Applied probability and statistics | 519.2 L521b Basic probability theory with applications | 519.2 L565h Heads or tails | 519.2 L63p Probability inequalities | 519.2 L668s Schaum's outline of theory and problems of probability | 519.2 L669sE STATISTICS OF RANDOM PROCESSES |

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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