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发表于2024-06-18

Real Analysis and Probability 2024 pdf epub mobi 电子书

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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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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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出版者:Cambridge University Press

作者:R. M. Dudley

出品人:

页数:555

译者:

出版时间:2002-08-15

价格:USD 64.00

装帧:Paperback

isbn号码:9780521007542

丛书系列:

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

Real Analysis and Probability 2024 pdf epub mobi 电子书图书描述

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.

Real Analysis and Probability 2024 pdf epub mobi 电子书

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