实分析和抽象分析(英文版)

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  分類: 图书,自然科学,数学,概率论与数理统计,

作者: (美)休伊特(Hewitt,E.)著

出 版 社:

出版时间: 2009-4-1字数:版次: 1页数: 476印刷时间:开本: 24开印次:纸张:I S B N : 9787510004476包装: 平装目录

Chapter One: Set Theory and Algebra

Section 1. The algebra of sets

Section 2. Relations and functions

Section 3. The axiom of choice and ordinal numbers

Section 4. Cardinal numbers and ordinal numbers

Section 5. Construction of the real and complex number fields

Chapter Two: Topology and Continuous Functions

Section 8. The riemann-Stieltjes integral

Section 9. Extending certain functionals

Section 10. Measures and measurable sets

Section 11. Measurable functions

Section 12. The abstract Lebesgue integral

Chapter Four: Function Spaces and Banach Spaces

Section 13. The spaces

Section 14. Abstract Banach spaces

Section 15. The conjugate space

Section 16. Abstract Hilbert spaces

Chapter Five: Differentiation

Section 17. Differentiable and nondifferentiable functions

Section 18. Absolutely continuous functions

Section 19. Complex measures and the LEBESGUE-RADON-NIKODYM theorem

Section 20. Applications of the LEBESGUE-RADON-NIKODYM theorem

Chapter Six: Integration on Product Spaces

Section 21. The product of two measure spaces

Section 22. Products of infinitely many measure spaces

Index of Symbols

Index of Authors and Terms

 
 
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