Fundamentals of probability : a first course / by Anirban DasGupta
- 作者： DasGupta, Anirban.
- 其他作者：
- 其他題名：
- Springer eBooks
- A first course
- 出版： New York, NY : Springer-Verlag New York 2010
- 叢書名： Springer texts in statistics ,
- 主題： Probabilities , Mathematics. , Probability Theory and Stochastic Processes.
- ISBN： 9781441957801 (electronic bk.) 、 9781441957795 (paper)
- URL：
電子書
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讀者標籤：
- 系統號： 005173038 | 機讀編目格式
館藏資訊
Probability theory is one branch of mathematics that is simultaneously deep and immediately applicable in diverse areas of human endeavor. It is as fundamental as calculus. Calculus explains the external world, and probability theory helps predict a lot of it. In addition, problems in probability theory have an innate appeal, and the answers are often structured and strikingly beautiful. A solid background in probability theory and probability models will become increasingly more useful in the twenty-?rst century, as dif?cult new problems emerge, that will require more sophisticated models and analysis. Thisisa text onthe fundamentalsof thetheoryofprobabilityat anundergraduate or ?rst-year graduate level for students in science, engineering,and economics. The only mathematical background required is knowledge of univariate and multiva- ate calculus and basic linear algebra. The book covers all of the standard topics in basic probability, such as combinatorial probability, discrete and continuous distributions, moment generating functions, fundamental probability inequalities, the central limit theorem, and joint and conditional distributions of discrete and continuous random variables. But it also has some unique features and a forwa- looking feel.