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Author: none
Number of Pages: 64 pages
Published Date: 23 Apr 2007
Publisher: Macmillan Education
Publication Country: Oxford, United Kingdom
Language: English
ISBN: 9781405079525
Download Link: Click Here
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From the hard-ridden half-pipe of a suburban driveway to teens doing board-slides down stairway handrails in Rio de Janeiro, from the bright-light glare of ESPN's X-Games to the groundbreaking street-skating videos of Spike Jonze, skateboarding has taken the world by storm--and if you can't deal with that, get out of the way. In The Answer Is Never, skating journalist Jocko Weyland tells the rambunctious story of a rebellious sport that began as a wintertime surfing substitute on the streets of Southern California beach towns more than forty years" ago and has evolved over the decades to become a fixture of urban youth culture around the world. Probability theory is nowadays applied in a huge variety of fields including physics, engineering, biology, economics and the social sciences. This book is a modern, lively and rigorous account which has Doob's theory of martingales in discrete time as its main theme. It proves important results such as Kolmogorov's Strong Law of Large Numbers and the Three-Series Theorem by martingale techniques, and the Central Limit Theorem via the use of characteristic functions. A distinguishing feature is its determination to keep the probability flowing at a nice tempo. It achieves this by being selective rather than encyclopaedic, presenting only what is essential to understand the fundamentals; and it assumes certain key results from measure theory in the main text. These measure-theoretic results are proved in full in appendices, so that the Macmillan English for You and Me : Level 2 - Student's Activity Book pdf book is completely self-contained. The book is written for students, not for researchers, and has evolved through several years of class testing. Exercises play a vital role.

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