66 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(一) Real Analysis I 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.

    • video
    Class1 課程導論

    Class1 課程導論

    第一章 Measure theory

    • 17 min
    • video
    Cass2

    Cass2

    • 49 min
    • video
    Class3 Sec.1.2. Measure & Sec.1.3. Outer Me

    Class3 Sec.1.2. Measure & Sec.1.3. Outer Me

    • 1 hr 35 min
    • video
    Class4 Sec.1.4. Constructing outer measure

    Class4 Sec.1.4. Constructing outer measure

    • 48 min
    • video
    Class5 Sec.1.5-1.6 Lebesgue measure

    Class5 Sec.1.5-1.6 Lebesgue measure

    • 1 hr 36 min
    • video
    Class6 Sec.1.7 Metric space

    Class6 Sec.1.7 Metric space

    • 48 min

Top Podcasts In Education

Listeners Also Subscribed To

More by National Chiao Tung University