天元基金影印數學叢書：概率論與隨機過程中的泛函分析（影印版） [Functional Analysis for Probability and Stochastic Processes] epub pdf mobi txt 電子書 下載 2024

天元基金影印數學叢書：概率論與隨機過程中的泛函分析（影印版） [Functional Analysis for Probability and Stochastic Processes] epub pdf mobi txt 電子書 下載 2024

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天元基金影印數學叢書：概率論與隨機過程中的泛函分析（影印版） [Functional Analysis for Probability and Stochastic Processes] epub pdf mobi txt 電子書 下載 2024

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內容簡介

　　《概率論與隨機過程中的泛函分析（影印版）》主要包含國外反映近代數學發展的純數學與應用數學方麵的優秀書籍，天元基金邀請國內各個方嚮的知名數學傢參與選題的工作，經專傢遴選、推薦而齣版。

目錄

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

天元基金影印數學叢書：概率論與隨機過程中的泛函分析（影印版） [Functional Analysis for Probability and Stochastic Processes] epub pdf mobi txt 電子書 下載 2024

天元基金影印數學叢書：概率論與隨機過程中的泛函分析（影印版） [Functional Analysis for Probability and Stochastic Processes] 下載 epub mobi pdf txt 電子書

評分☆☆☆☆☆

不錯的東西。。。。。。。。。。

評分☆☆☆☆☆

終於買到手瞭，正版很正版，

評分☆☆☆☆☆

很方便很實在非常滿意

評分☆☆☆☆☆

書的質量挺好的，適閤有一定數學基礎的人看

評分☆☆☆☆☆

東西不錯，我很喜歡。快遞很快

評分☆☆☆☆☆

很方便很實在非常滿意

評分☆☆☆☆☆

天書一般...非專業人員慎入

評分☆☆☆☆☆

書中的很多對於産業介紹和機械製圖方麵的知識很完整，很係統。但是某些部分關於計算機配置的部分稍微落後。同時，部分機械草圖有些小錯誤。但是，基本上對於想挑戰自己的機械製圖的工程師們來說，是很好的sample.

評分☆☆☆☆☆

非歐幾何的確立拓廣瞭人們對空間的認知，n維空間幾何的産生允許我們把多變函數用幾何學的語言解釋成多維空間的映像。這樣，就顯示齣瞭分析和幾何之間的相似的地方，同時存在著把分析幾何化的一種可能性。這種可能性要求把幾何概念進一步推廣，以至最後把歐氏空間擴充成無窮維數的空間。

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