Heads or tails : an introduction to limit theorems in probability

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. "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 id 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 readers' 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."--BOOK JACKET. 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. 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

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