Real Analysis and Probability pdf epub mobi txt 电子书下载 2024

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R. M. Dudley

Cambridge University Press

2002-08-15

555

USD 64.00

Paperback

9780521007542

图书标签: Probability 数学 real_analysis math Measure Analysis Textbook Mathematics

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发表于2024-11-22

Real Analysis and Probability epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Real Analysis and Probability pdf epub mobi txt 电子书下载 2024

图书描述

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 pdf epub mobi txt 电子书下载

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用户评价

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扫完... 这本书很适合当参考书....

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扫完... 这本书很适合当参考书....

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高级。MIT 18.175 国内有影印和翻译本.18.175是研究生课程。另可参考Probability and Measure, 3rd Edition by Patrick Billingsley和Feller的卷二. Dudley本人在MIT的本科课18.440 Probability and Random Variables用的是Ross的本科教材，另外Degroot的教材也是本科通用的。

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扫完... 这本书很适合当参考书....

读后感

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看序言，原来翻译的教授去世了，他博士生接手的。到处都能看到翻译得毫无逻辑关系，不调整语句顺序，你得费好大劲去猜什么意思珍爱生命，去看英文版吧。例子1：P8 X的子集Y称为归纳的(inductive),如果对于每一个x属于X，使得y属于Y，对所有的y属于X，使得y<x,就有x属于Y....

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MIT的Real Analysis，和Princeton的Stein, E.M., et al.写的各有千秋。Stein的语言风格更通俗易懂，而Dudley的更加Bourbaki。之前也有学长说过这部更适合有基础的同学或者当做字典来用，我同意。当做字典的话，这一部非常精炼，基础知识的介绍也相对完整，有较为充分的篇幅介绍...

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Real Analysis and Probability pdf epub mobi txt 电子书下载 2024