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【分享】The Mathematics of Games and Gambling.MAA.1981【已搜无重复】
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The Mathematics of Games and Gambling 免责声明 本资源来自于互联网，仅供网络测试之用，请务必在下载后24小时内删除！所有资源不涉及任何商业用途。发帖人不承担由下载使用者引发的一切法律责任及连带责任！ 著作权归原作者或出版社所有。未经发贴人conanwj许可，严禁任何人以任何形式转贴本文，违者必究！ 如果本帖侵犯您的著作权，请与conanwj联系，收到通知后我们将立即删除此帖！ Authors(Editors): Edward W. Packel Publisher: Mathematical Association of America Pub Date: 1981 Pages: 151 ISBN: 0-88385-600-X Preface The purpose of this book is to introduce and develop some of the important and beautiful elementary mathematics needed for rational analysis of various gambling and game activities. While the only formal mathematics background assumed is high school algebra, some enthusiasm for and facility with quantitative reasoning will also serve the reader well. The book will, I hope, be of interest to: 1) Bright high school students with a good mathematics background and an (often related) interest in games of chance. 2) Students in elementary probability theory courses who might appreciate an informal supplementary text focusing on applications to gambling and games. 3) Individuals with some background in mathematics who are interested in some common and uncommon elementary game-oriented applications and their analysis. 4) That subset of the numerate gambling and game-playing public who would like to examine the mathematics behind games they might enjoy and who would like to see mathematical justification for what constitutes '"good" (rational) play in such games. One guiding principle of the book is that no mathematics is introduced without specific examples and applications to motivate the theory. The mathematics developed ranges from the predictable concepts of probability, expectation, and binomial coefficients to some less well-known ideas of elementary game theory. A wide variety of standard games is considered along with a few more recently popular and unusual activities such as backgammon and state lotteries. Generally it is not the play of the game. but the reasoning behind the play that provides the emphasis. Some readers may be temporarily slowed down or frustrated by the omission of detailed rules for a few of the games analyzed. There are two important reasons for such omissions. First, I believe that initial exposure to a new game should be acquired through experience rather than a formal study of rules. Thus, I would encourage readers unfamiliar with backgammon to find knowledgeable partners and to learn by playing. In a classroom setting, the promise of a class tournament is an excellent way to encourage student~ to master the rules before any mathematical analysis is engaged in. Secondly, the book is not intended to be a "how to" document and I would urge readers interested in detailed rules and neatly packaged advice for backgammon, bridge, poker, or horse racing to consult one of the many specialized books on the particular topic (see the Bibliography). I give little "advice" that is not justified by prior mathematical analysis. In most cases it would be unreasonable to claim that this book will directly improve one's gaming ability, though I would hope that the insights provided into rational analysis and play will have some spinoff in that direction. Exceptions to this disclaimer may be backgammon, which is treated in some detail. and the various gambling house games, for which it is made quite clear (blackjack being a possible exception) that the optimal strategy is abstinence. After an historical and literary initial chapter. subsequent chapters (except for the last) each include from 10 to 12 carefully selected exercises. These game-related questions are not primarily intended as drill problems, but rather for readers genuinely interested in expansion of ideas treated in the text. Some of the later exercises for each chapter may be quite challenging and some questions are open-ended, with emphasis on analysis and explanation rather than numerical answers. Chapter 2 provides the foundation for most of what follows, and should be mastered. The first two sections of Chapter 4 are needed also for Chapter 5. Otherwise chapters are. with minor exceptions, independent of one another. Sections referring to particular games can be included or omitted according to taste. The Bibliography presents, among other things, full reference information for books and articles referred to in abbreviated form in the text. No serious judgments on the morality of gambling are intended in the book, though readers will no doubt draw inferences from the tone and tenor of my remarks at various points. While it should be clear that I am enthusiastic about games of chance and skill. I hope it is equally clear that I am even more enthusiastic about the mathematics behind such games. It is this latter enthusiasm that I hope will be transferred to the reader. Numerous institutions and individuals have helped me in shaping this book. Lake Forest College and three separate groups of students took their chances with me over the last 3 years in an experimental freshman level course from which the final text has evolved. The Division of Social Sciences and Humanities at California Institute of Technology provided office space and technical assistance. Members of the New Mathematical Library subcommittee of the Mathematical Association of America have provided exceedingly thorough and helpful comments on the manuscript. I would also like to thank Bruce Cain. Charles Maland, and Kathryn Rindskopf for their valuable suggestions at various stages in the writing process. Finally. I am indebted to Gertrude Lewin for her typing of the first draft and Barbara Calli for her lovely artwork and typing of the final draft. 本资源共4个可选网络硬盘链接，5.67 MB。 -------------------------------------------------------------------------------------------------------- https://rapidshare.com/files/358 ... erica.p151.1996.rar https://www.easy-share.com/1909448069/The Mathematics of Games and Gambling.Mathematical Association of America.p151.1996.rar https://depositfiles.com/files/vxw3w0e6v https://www.sendspace.com/file/udqou1 -------------------------------------------------------------------------------------------------------- [ Last edited by javeey on 2010-5-6 at 20:02 ] |
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