Real Analysis and Probability 2024 pdf epub mobi 電子書下載

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This classic textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The first half of the book gives an exposition of real analysis: basic set theory, general topology, measure theory, integration, an introduction to functional analysis in Banach and Hilbert spaces, convex sets and functions and measure on topological spaces. The second half introduces probability based on measure theory, including laws of large numbers, ergodic theorems, the central limit theorem, conditional expectations and martingale's convergence. A chapter on stochastic processes introduces Brownian motion and the Brownian bridge. The edition has been made even more self-contained than before; it now includes a foundation of the real number system and the Stone-Weierstrass theorem on uniform approximation in algebras of functions. Several other sections have been revised and improved, and the comprehensive historical notes have been further amplified. A number of new exercises have been added, together with hints for solution.

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Real Analysis and Probability 2024 pdf epub mobi 電子書下載

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MIT的Real Analysis，和Princeton的Stein, E.M., et al.寫的各有韆鞦。Stein的語言風格更通俗易懂，而Dudley的更加Bourbaki。之前也有學長說過這部更適閤有基礎的同學或者當做字典來用，我同意。當做字典的話，這一部非常精煉，基礎知識的介紹也相對完整，有較為充分的篇幅介紹...

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看序言，原來翻譯的教授去世瞭，他博士生接手的。到處都能看到翻譯得毫無邏輯關係，不調整語句順序，你得費好大勁去猜什麼意思珍愛生命，去看英文版吧。例子1：P8 X的子集Y稱為歸納的(inductive),如果對於每一個x屬於X，使得y屬於Y，對所有的y屬於X，使得y<x,就有x屬於Y....

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出版者:Cambridge University Press

作者:R. M. Dudley

出品人:

頁數:555

譯者:

出版時間:2002-08-15

價格:USD 64.00

裝幀:Paperback