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About this product
- DescriptionProbability theory has been extraordinarily successful at describing a variety of phemena, from the behaviour of gases to the transmission of messages, and is, besides, a powerful tool with applications throughout mathematics. At its heart are a number of concepts familiar in one guise or ather to many: Gauss' bell-shaped curve, the law of averages, and so on, concepts that crop up in so many settings they are in some sense universal. This universality is predicted by probability theory to a remarkable degree. This book explains that theory and investigates its ramifications. Assuming a good working kwledge of basic analysis, real and complex, the author maps out a route from basic probability, via random walks, Brownian motion, the law of large numbers and the central limit theorem, to aspects of ergodic theorems, equilibrium and nequilibrium statistical mechanics, communication over a isy channel, and random matrices. Numerous examples and exercises enrich the text.
- Author BiographyHenry McKean is a professor in the Courant Institute of Mathematical Sciences at New York University. He is a fellow of the American Mathematical Society and in 2007 he received the Leroy P. Steele Prize for his life's work.
- Author(s)Henry P. McKean
- PublisherCambridge University Press
- Date of Publication27/11/2014
- Place of PublicationCambridge
- Country of PublicationUnited Kingdom
- ImprintCambridge University Press
- Content Note122 b/w illus. 260 exercises
- Weight820 g
- Width152 mm
- Height228 mm
- Spine27 mm
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