Elementary Probability Theory with Stochastic Processes
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1975
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| Schriftenreihe: | Undergraduate Texts in Mathematics
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| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Beschreibung: | 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, operations 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 splitpersonality 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 |
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| Beschreibung: | 1 Online-Ressource (X, 325 p) |
| ISBN: | 9781475751147 9781475751161 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4757-5114-7 |