課程大綱及進度表
開課系所 應數所
開課學年 101
開課學期 1
課程名稱(中文) 分析通論一
課程名稱（英文） GENERAL ANALYSIS (1) 課程碼 L150310
分班碼
先修科目或先備能力 Advanced Calculus
學分數 3
開課教師 林育竹
e-mail [email protected]
電話 65152
Office Hours By Appointment
課程概述 We will cover the following subjects: outer measure, measure, measurable functions, integrals, Fatou's lemma, Fubini's theorem, Lebesgue's differentiation theorem, L^p spaces.
教學目標 The purpose of this course is to introduce the Lebesgue measure on R^n and the Lebesgue integral.
授課課程大綱明細 Chapter 3~8 in the textbook:
1. Lebesgue Measure and Outer Measure (Ch3) 2. Lebesgue Measurable Functions (Ch4) 3. The Lebesgue Integral (Ch5)
4. Repeated Integration (Ch6) 5. Differentiation (Ch7)
6. L^p Classes (Ch8)
參考書目 Textbook:
R. L. Wheeden and A. Zygmund:
Measure and Integral - An introduction to Real Analysis
, Marcel Dekker, 1977.References:
1.W.Rudin:"Real and Complex Analysis."
2.Jones:"Lebesgue integration on Euclidean space."
課程要求 課程包涵課堂講授部分及習題部分.
作業請準時繳交.
評量方式 期中考: 40%
期末考: 40%
作業: 20%
課程網址 助教資訊 備註
