課程大綱及進度表
開課系所
碩一二開課學年
100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
李國明電話
65130Office Hours
By Appointment課程概述
Basic elements of measure and Lebesgue integration教學目標
This course is an introduction to the theory of Lebesgue Integration.授課課程大綱明細
1. Real number system (3-4 weeks)Real numbers, sets, sequences and functions
2. Lebesgue measure (4 weeks) Outer measure, sigma algebra, Measurable sets, Cantor sets
3. Measureable functions(2 weeks)
Measurable functions
4. Lebesgue Integration (7-8 weeks)
General Lebesgue integration theory and convergence
theorems
參考書目
Royden, Real Analysis, 4ed.2010