Probability - The Classical Limit Theorems (Hardcover)

Probability theory has been extraordinarily successful at describing a variety of phenomena, 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 another 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 knowledge 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 nonequilibrium statistical mechanics, communication over a noisy channel, and random matrices. Numerous examples and exercises enrich the text.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Release date:	November 2014
Authors:	Henry McKean
Dimensions:	229 x 152 x 27mm (L x W x T)
Format:	Hardcover
Pages:	488
ISBN-13:	978-1-107-05321-2
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Reference & Interdisciplinary > Communication studies > Information theory > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics
LSN:	1-107-05321-8
Barcode:	9781107053212

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