000 01768nam a22002417a 4500
003 OSt
020 _a9789393330178
040 _cIIT Kanpur
041 _aeng
082 _a519.2
_bL565h
100 _aLesigne, Emmanuel
245 _aHeads or tails
_ban introduction to limit theorems in probability
_cEmmanuel Lesigne; translated by Anna Pierrehumbert
260 _aHyderabad
_bUniversities Press
260 _aProvindence
_bAmerican Mathematical Society
_c2005
300 _aviii, 150p
440 _aStudent Mathematical Library
490 _av.28
520 _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 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.
650 _aLimit theorems (Probability theory)
650 _aProbabilities
700 _aPierrehumbert, Anna [tr.]
942 _cBK
999 _c565680
_d565680