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＜電子ブック＞
Elementary Probability Theory with Stochastic Processes / by K. L. Chung
(Undergraduate Texts in Mathematics. ISSN:21975604)

版	2nd ed. 1975.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1975
本文言語	英語
大きさ	X, 325 p. 49 illus : online resource
著者標目	*Chung, K. L author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Social sciences -- Mathematics  全ての件名で検索 FREE:Probability Theory FREE:Mathematics in Business, Economics and Finance
一般注記	1: Set -- 2: Probability -- 3: Counting -- 4: Random Variables -- 5: Conditioning and Independence -- 6: Mean, Variance and Transforms -- 7: Poisson and Normal Distributions -- 8: From Random Walks to Markov Chains -- Appendix 3: Martingale -- General References -- Answers to Problems In the past half-century the theory of probability has grown from a minor isolated theme into a broad and intensive discipline interacting with many other branches of mathematics. At the same time it is playing a central role in the mathematization of various applied sciences such as statistics, opera­ tions research, biology, economics and psychology-to name a few to which the prefix "mathematical" has so far been firmly attached. The coming-of-age of probability has been reflected in the change of contents of textbooks on the subject. In the old days most of these books showed a visible split­ personality torn between the combinatorial games of chance and the so-called "theory of errors" centering in the normal distribution. This period ended with the appearance of Feller's classic treatise (see [Feller l]t) in 1950, from the manuscript of which I gave my first substantial course in probability. With the passage of time probability theory and its applications have won a place in the college curriculum as a mathematical discipline essential to many fields of study. The elements of the theory are now given at different levels, sometimes even before calculus. The present textbook is intended for a course at about the sophomore level. It presupposes no prior acquaintance with the subject and the first three chapters can be read largely without the benefit of calculus HTTP:URL=https://doi.org/10.1007/978-1-4757-5114-7

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