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課程名稱 |
高等實分析二
ADVANCED REAL ANALYSIS(Ⅱ) |
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開課學期 |
97-2 |
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授課對象 |
理學院 數學研究所 |
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授課教師 |
劉太平 |
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課號 |
MATH7204 |
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課程識別碼 |
221 M1200 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期五5,6(12:20~14:10)星期六3,4(10:20~12:10) |
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上課地點 |
舊數103舊數103 |
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備註 |
總人數上限：15人 |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
This course aims to cover extensions of Lebesgue Theory in contemporary analysis and probability. The axiomatic method of exposition is chosen. The course is a graduate level course. It requires regular participation, the completion of homework and the mid-term/final exams.
Chap IV (Foundation of Probability Theory), Chap V (Functional-Stochastic Analysis). Some material from Chap III and Appendix (Spectral Analysis). |
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課程目標 |
http://www.math.ntu.edu.tw |
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課程要求 |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
P. Malliavin, Integration and Probability, GTM 157 Springer
[1] F.C. Liu, Lecture notes
[2] J.L. Doob, Measure Theory, GTM 143 Springer
[3] P. Malliavin, Integration and Probability, GTM 157 Springer
[4] L.C. Evans and R.F. Gariepy, Measure Theory and Fine Properties of Functions, CRC.
[5] M. Taylor, Measure Theory and Integration, Graduate Studies in Math, Vol. 76, AMS.
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評量方式
(僅供參考) |
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