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課程大綱及進度表

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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

e-mail

kmlee@math.ncku.edu.tw

電話

65130

Office 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.

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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

課程要求

課程包涵課堂講授部分及習題部 分

評量方式

期中考試(筆試)佔 40% , 期末考試(口試)佔 60%

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課程網址

助教資訊

備註

參考文獻

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