书目名称 | Probability Theory | 副标题 | An Introductory Cour | 编辑 | Yakov G. Sinai | 视频video | | 丛书名称 | Springer Textbook | 图书封面 |  | 描述 | Sinai‘s book leads the student through the standard materialfor ProbabilityTheory, with stops along the way forinteresting topics such as statistical mechanics, notusually included in a book for beginners.The first part of the book covers discrete random variables,using the same approach, basedon Kolmogorov‘s axioms forprobability, used later for the generalcase.The text is divided into sixteen lectures, each covering amajortopic. The introductory notions and classical resultsare included, ofcourse: random variables, the central limittheorem, the law of large numbers, conditional probability,random walks, etc. Sinai‘s style is accessible and clear,with interesting examples to accompany newideas.Besides statistical mechanics, other interesting, lesscommontopics found in the book are: percolation, theconcept of stability in thecentral limit theorem and thestudy of probability of large deviations.Little more than a standard undergraduate course in analysisis assumed of the reader. Notions from measure theoryandLebesgue integration are introduced in the second half ofthe text.The book is suitable for second or third year studentsinmathematics, physics or other natural sciences. It coul | 出版日期 | Textbook 19921st edition | 关键词 | Probability theory; Random variable; Wahrscheinlichkeit; Wahrscheinlichkeitstheorie; conditional probabi | 版次 | 1 | doi | https://doi.org/10.1007/978-3-662-02845-2 | isbn_ebook | 978-3-662-02845-2Series ISSN 1431-8512 | issn_series | 1431-8512 | copyright | Springer-Verlag Berlin Heidelberg 1992 |
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