天元基金影印数学丛书：概率论与随机过程中的泛函分析（影印版） [Functional Analysis for Probability and Stochastic Processes] 下载 mobi epub pdf 电子书 2024

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内容简介

　　《概率论与随机过程中的泛函分析（影印版）》主要包含国外反映近代数学发展的纯数学与应用数学方面的优秀书籍，天元基金邀请国内各个方向的知名数学家参与选题的工作，经专家遴选、推荐而出版。

目录

Preface
1 Preliminaries, notations and conventions
1.1 Elements of topology
1.2 Measure theory
1.3 Functions of bounded variation. Riemann-Stieltjes integral
1.4 Sequences of independent random variables
1.5 Convex functions. Holder and Minkowski inequalities
1.6 The Cauchy equation

2 Basic notions in functional analysis
2.1 Linear spaces
2.2 Banach spaces
2.3 The space of bounded linear operators

3 Conditional expectation
3.1 Projections in Hilbert spaces
3.2 Definition and existence of conditional expectation
3.3 Properties and examples
3.4 The Radon-Nikodym Theorem
3.5 Examples of discrete martingales
3.6 Convergence of self-adjoint operators
3.7 ... and of martingales

4 Brownian motion and l-Iilbert spaces
4.1 Gaussian families & the definition of Brownian motion
4.2 Complete orthonormal sequences in a Hilbert space
4.3 Construction and basic properties of Brownian motion
4.4 Stochastic integrals

5 Dual spaces and convergence of probability measures
5.1 The Hahn-Banach Theorem
5.2 Form of linear functionals in specific Banach spaces
5.3 Thedual of an operator
5.4 Weak and weak* topologies
5.5 The Central Limit Theorem
5.6 Weak convergence in metric spaces
5.7 Compactness everywhere
5.8 Notes on other modes of convergence

6 The Gelfand transform and its applications
6.1 Banach algebras
6.2 The Gelfand transform
6.3 Examples of Gelfand transform
6.4 Examples of explicit calculations of Gelfand transform
6.5 Dense subalgebras of C(S)
6.6 Inverting the abstract Fourier transform
6.7 The Factorization Theorem

7 Semigroups of operators and Levy processes
7.1 The Banach-Steinhaus Theorem
7.2 Calculus of Banach space valued functions
7.3 Closed operators
7.4 Semigroups of operators
7.5 Brownian motion and Poisson process semigroups
7.6 More convolution semigroups
7.7 The telegraph process semigroup
7.8 Convolution semigroups of measures on semigroups

8 Markov processes and semigroups of operators
8.1 Semigroups of operators related to Markov processes
8.2 The Hille-Yosida Theorem
8.3 Generators of stochastic processes
8.4 Approximation theorems

9 Appendixes
9.1 Bibliographical notes
9.2 Solutions and hints to exercises
9.3 Some commonly used notations
References
Index
天元基金影印数学丛书：概率论与随机过程中的泛函分析（影印版） [Functional Analysis for Probability and Stochastic Processes] 下载 mobi epub pdf txt 电子书 格式

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好书 结合了概率论

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好书，把泛函分析和概率论放在一起，概率论的观点更高了！！

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书中的很多对于产业介绍和机械制图方面的知识很完整，很系统。但是某些部分关于计算机配置的部分稍微落后。同时，部分机械草图有些小错误。但是，基本上对于想挑战自己的机械制图的工程师们来说，是很好的sample.

评分☆☆☆☆☆

好书 结合了概率论

评分☆☆☆☆☆

《概率论与随机过程中的泛函分析（影印版）》主要包含国外反映近代数学发展的纯数学与应用数学方面的优秀书籍，天元基金邀请国内各个方向的知名数学家参与选题的工作，经专家遴选、推荐而出版。

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景

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不错的书，内容很详细，适合自己

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商品质量很好，很实用。

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这本书覆盖了从入门机械制图工程师/技师所必需知道的关于产业的知识。书中还覆盖了所必需的进阶知识。 《实分析教程(第2版)(英文影印版)》是一部备受专家好评的教科书，书中用现代的方式清晰论述了实分析的概念与理论，定理证明简明易懂，可读性强。在第一版的基础上做了全面修订，有200道例题，练习题由原来的1200道增加到1300习题。本书的写法像一部文学读物，这在数学教科书很少见，因此阅读本书会是一种享受。

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