Description: Probability: The Classical Limit TheoremsHenry McKean Cambridge University Press Hardcover Unused and unread, minor cosmetic imperfections such as scuffing or minor creasing. Stamped 'damaged' by publisher to a non-text page. EAN: 9781107053212 Published: 27/11/2014 Language: English 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. Preface 1. Preliminaries 2. Bernoulli trials 3. The standard random walk 4. The standard random walk in higher dimensions 5. LLN, CLT, iterated log, and arcsine in general 6. Brownian motion 7. Markov chains 8. The ergodic theorem 9. Communication over a noisy channel 10. Equilibrium statistical mechanics 11. Statistical mechanics out of equilibrium 12. Random matrices Bibliography Index. DispatchIn stock here - same-day dispatch from England. My SKU: 3290287RefundsNo-hassle refunds are always available if your book is not as expected.Terms and Conditions of SaleSorry - no collections. All sales are subject to extended Terms and Conditions of Sale as well as the Return Policy and Payment Instructions. Visit my eBay Store for details andmany more books. Template layout and design, "JNC Academic Books", "needbooks", Copyright © JNC INC. Designated trademarks, layouts and brands are the property of their respective owners. All Rights Reserved.
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Number of Pages: 488 Pages
Language: English
Publication Name: Probability: the Classical Limit Theorems
Publisher: Cambridge University Press
Publication Year: 2014
Subject: Mathematics, Physics
Item Height: 229 mm
Item Weight: 880 g
Type: Textbook
Author: Henry Mckean
Subject Area: Information Science
Item Width: 152 mm
Format: Hardcover
