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課程名稱 |
高等實分析一
ADVANCED REAL ANALYSIS(Ⅰ) |
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開課學期 |
96-1 |
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授課對象 |
理學院 數學研究所 |
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授課教師 |
張清煇 |
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課號 |
MATH7203 |
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課程識別碼 |
221 M1190 |
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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 |
星期五7,8(14:20~16:20) |
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上課地點 |
舊數103 |
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備註 |
上課時間：五78、六上午9：30～11：30.第一次上課日期：96.09.21
總人數上限：50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.
I. Fall, 2007
Chap I (Foundation of Real Analysis), Chap II (Functional Analysis), Chap IV Sect. 6 (Theory of Differentiations). Some material from Chap III (Fourier Analysis)
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課程目標 |
NO |
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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 |
References:
[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.
Textbook: P. Malliavin, Integration and Probability, GTM 157 Springer
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評量方式
(僅供參考) |
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