Probability with Martingales pdf epub mobi txt 電子書下載2025

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出版者:Cambridge University Press

作者:David Williams

出品人:

頁數:251

译者:

出版時間:1991-2-22

價格:USD 69.99

裝幀:Paperback

isbn號碼:9780521406055

叢書系列:Cambridge Mathematical Textbooks

圖書標籤:

數學
概率論
測度論
Probability
probability
math
Mathematics
quant

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This is a masterly introduction to the modern and rigorous theory of probability. The author adopts the martingale theory as his main theme and moves at a lively pace through the subject's rigorous foundations. Measure theory is introduced and then immediately exploited by being applied to real probability theory. Classical results, such as Kolmogorov's Strong Law of Large Numbers and Three-Series Theorem are proved by martingale techniques. A proof of the Central Limit Theorem is also given. The author's style is entertaining and inimitable with pedagogy to the fore. Exercises play a vital role; there is a full quota of interesting and challenging problems, some with hints.

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不夸张的说，读了这么多年数学，这本书是我读到的最生动的数学书，没有之一。虽然是一本教科书，却没有教科书常见的平淡。作者语言幽默风趣，读起来不像在看书，却像是在听课，面对一位循循善诱的老者，听他娓娓到来。数学讲得生动不容易，写得生动更不容易。作者前言里面说...

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主要是围绕martingale展开的，前面一部份介绍必要的measure theory的部分，点到即止，都是后面基本的probability theory需要用到的。即使你之前不懂measure theory也能看懂。难怪是给undergraduate用的。 williams是这个方向上文笔最好的数学家了。

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