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Probability[electronic resource] :th...

McKean, Henry P. (1930-)

Probability[electronic resource] :the classical limit theorems /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	519.2
書名/作者:	Probability : the classical limit theorems // Henry Mckean.
作者:	McKean, Henry P.
出版者:	Cambridge : : Cambridge University Press,, 2014.
面頁冊數:	xxi, 464 p. : : ill., digital ;; 24 cm.
標題:	Limit theorems (Probability theory)
ISBN:	9781107282032
ISBN:	9781107053212
ISBN:	9781107628274
摘要、提要註:	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.
電子資源:	https://doi.org/10.1017/CBO9781107282032

Probability[electronic resource] :the classical limit theorems /
McKean, Henry P.1930-

Probabilitythe classical limit theorems /[electronic resource] :Henry Mckean. - Cambridge :Cambridge University Press,2014. - xxi, 464 p. :ill., digital ;24 cm.

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.

ISBN: 9781107282032Subjects--Topical Terms:

627595
Limit theorems (Probability theory)

LC Class. No.: QA273.67 / .M35 2014

Dewey Class. No.: 519.2

Probability[electronic resource] :the classical limit theorems /
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520 $a 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.
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