課程介紹
在具有基本點集拓樸的知識背景下，介紹實數空間的測度理論(Measure Theory)，古典Banach空間，以及一些重要的不等式
教科書:
A Second Course in Mathematical Analysis/Burkill and Burkill/Cambridge University Press
Real Analysis/Stein and Shakarchi/Princeton University Press
Real Analysis/Royden/Prentice Hall
Real Analysis/Royden/Prentice Hall
教學進度:
1. Metric Spaces
2. Continuous Functions
3. Outer Measure
4. Measurable Sets
5. Lebesgue Integral
6. Classical Banach Spaces
2. Continuous Functions
3. Outer Measure
4. Measurable Sets
5. Lebesgue Integral
6. Classical Banach Spaces
本課程不開放報名
