01923nam a22002537a 4500003000400000020001800004040001500022041000800037082001700045100002200062245012100084260003400205260005300239300001500292440003300307490000900340520105900349650004001408650001801448700003001466942000701496999001901503952014701522OSt a9789393330178 cIIT Kanpur aeng a519.2bL565h aLesigne, Emmanuel aHeads or tailsban introduction to limit theorems in probabilitycEmmanuel Lesigne; translated by Anna Pierrehumbert aHyderabadbUniversities Press aProvindencebAmerican Mathematical Societyc2005 aviii, 150p aStudent Mathematical Library av.28 aEveryone 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 theoremsâ€”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. aLimit theorems (Probability theory) aProbabilities aPierrehumbert, Anna [tr.] cBK c565680d565680 0010406519_200000000000000_L565H708GEN9908121aIITKbIITKd2022-07-18g550.00l1o519.2 L565hpGB2422r2024-02-27s2024-02-23v550.00yBK