61 episodes

This is the course designed to acquaint the graduate students in the applied mathematics department with basic ideas and tools in modern analysis. This comprises the subjects of real analysis and functional analysis, the analysis developed in the 20th century and after. We will treat real analysis mainly in the first semester and functional analysis in the second. Hopefully, we can lay down a solid foundation for further usage in some other theoretical or applied area. After taking the course, the students are expected to have the general idea on the modern ways to attack the analysis problems.

實變函數論(二) Real Analysis II National Chiao Tung University

    • Education

This is the course designed to acquaint the graduate students in the applied mathematics department with basic ideas and tools in modern analysis. This comprises the subjects of real analysis and functional analysis, the analysis developed in the 20th century and after. We will treat real analysis mainly in the first semester and functional analysis in the second. Hopefully, we can lay down a solid foundation for further usage in some other theoretical or applied area. After taking the course, the students are expected to have the general idea on the modern ways to attack the analysis problems.

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    Class36 第三章 Metric spaces

    Class36 第三章 Metric spaces

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    Class37

    Class37

    • 49 min
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    Class38 Sec3.4 Complete metric spaces

    Class38 Sec3.4 Complete metric spaces

    • 1 hr 36 min
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    Class39 Sec3.5 Compact metric spaces

    Class39 Sec3.5 Compact metric spaces

    • 51 min
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    Class40

    Class40

    • 1 hr 43 min
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    Class41 Sec3.7 Stone-Weierstiass Thm.

    Class41 Sec3.7 Stone-Weierstiass Thm.

    • 49 min

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