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[ 洋図書 ] The probability lifesaver : all the tools you need to understand chance / ( A Princeton lifesaver study guide )

Steven J. Miller. -- Princeton University Press, -- c2017. --

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中央 2F 一般洋図書 F/417.1/M65/P 7109716515 配架図 Digital BookShelf
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ISBN 0691149542 (hardcover ; alkaline paper)
ISBN13桁 9780691149547 (hardcover ; alkaline paper)
テキストの言語 英語                  
分類：NDC10版 417.1
個人著者標目 Miller, Steven J.,
生没年等 1974-
本タイトル The probability lifesaver :
タイトル関連情報 all the tools you need to understand chance /
著者名 Steven J. Miller.
出版地・頒布地 Princeton :
出版者・頒布者名 Princeton University Press,
出版年・頒布年 c2017.
数量 xxiii, 727 pages :
他の形態的事項 illustrations ;
大きさ 26 cm.
書誌注記 Includes bibliographical references (p. [717]-719) and index.
内容注記 General theory. Introduction -- Basic probability laws -- Counting I : Cards -- Conditional probability, independence, and Bayes' theorem -- Counting II : Inclusion -- exclusion -- Counting III : Advanced combinatorics -- Introduction to random variables. Introduction to discrete random variables -- Introduction to continuous random variables -- Tools : Expectation -- Tools : Convolutions and changing variables -- Tools : Differentiating identities -- Special distributions. Discrete distributions -- Continuous random variables : uniform and exponential -- Continuous random variables : the normal distribution -- The gamma function and related distributions -- The chi-square distribution -- Limit theorems. Inequalities and laws of large numbers -- Stirling's formula -- Generating functions and convolutions -- Proof of the central limit theorem -- Fourier analysis and the central limit theorem -- Additional topics. Hypothesis testing -- Difference equations, Markov processes, and probability -- The method of least squares -- Two famous problems and some coding -- Appendix A: Proof techniques -- Appendix B: Analysis results -- Appendix C: Countable and uncountable sets -- Appendix D: Complex analysis and the central limit theorem.
要約、抄録、注釈等 For students learning proability, its numerous applications, techniques, and methods can seem intimidating and overwhelming. That's where The Probability Lifesaver steps in. Designed to serve as a complete stand-alone introduction to the subject or as a supplement for a course, this accessible and user-friendly study guide helps students comfortably navigate probability's terrain and achieve positive results. The Probability LIfesaver is based on a successful course that Steven Miller has taught at Brown University, Mount Holyoke College, and Williams College. With a relaxed and informal style, Miller presents the math with thorough reviews of prerequisite materials, worked-out problems of varying difficulty, and proofs. He explores a topic first to build intuition, and only after that does he dive into technical details. Coverage of topics is comprehensive, and materials are repeated for reinforcement - both in the guide and on the book's website. An appendix goes over proof techniques, and video lectures of the course are available online. Students using this book should have some familiarity with algebra and precalculus. The Probability Lifesaver not only enables students to survive probability but also to achieve mastery of the subject for use in future courses. -- from back cover.
統一タイトル(シリーズ副出標目) Princeton lifesaver study guide.
シリーズ名・巻次 A Princeton lifesaver study guide 
一般件名 Probabilities.
Chance.
資料情報1 『The probability lifesaver : all the tools you need to understand chance /』（A Princeton lifesaver study guide）　Steven J. Miller.　Princeton University Press,　c2017. （所蔵館：中央　 請求記号：F/417.1/M65/P　 資料コード：7109716515）
URL https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352028697

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