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EbookBell Team
4.7
96 reviews实分析课程假定读者对一般测度论和本科分析的基本概念已有一定的了解。本书内容包括：测度论中的高级专题，尤其是Lebesgue-Radon-Nikodym定理和Riesz表示定理；泛函分析专题，如Hilbert空间和Banach空间；广义函数空间和重要的函数空间，包括Lebesgue的Lᵖ空间和Sobolev空间。另外还讨论了Fourier变换的一般理论。
本书的第二部分谈到了许多辅助论题，诸如 Zorn 里, Carathéodory延拓定理和 Banach-Tarski特论。作者还讨论了ε正规化推理——软分析的一个基本技巧，本书书名正取于此意。总体来说，本书提供了比二年级研究生实分析课程丰富得多的内容。
博文的第二册由各种专题的技术性和说明性文章组成，可以独立阅读。
