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course information of 107 - 2 | 0793 The art of Mathematical Argument(專題:數學論證之藝術)

0793 - 專題:數學論證之藝術 The art of Mathematical Argument


教育目標 Course Target

此課程為數學研究的基礎﹐我們要談如何證明數學命題。參閱進度表This course is the basis of mathematical research, and we want to discuss how to prove mathematical topics. See progress table


參考書目 Reference Books

0. 歐基里德的幾何原本
1. On Characterizations of the Gamma Function Math Mag,Vol.68, No.4, 1995.10,pp.301-305
2. 從尤拉數 e 到 Stirling 常數 數學傳播季刊, 中研院數學所出版,第20卷,第1期,1996.03,第34-45頁
3. 不等式中的伸縮因子 東海學報,第39卷,1998.07,第45-51頁
4. 用Mathematica對自然數次方和之探討 東海科學,第2卷,第 期,2000.07,第55-68頁
5. A Note on the Sums of Powers of Consecutive Integers 東海科學,Vol.5,2003.08,pp.101-106
6. 用Mathematica對自然數之負次方和的探討 東海科學,第5卷,第 期,2003.08,第61-75頁
7. 數論輕鬆遊 數學傳播季刊, 中研院數學所出版,第29卷,第4期,2005.12,第45-71頁
8. 傳統密碼之旅(上) 數學傳播季刊, 中研院數學所出版,第30卷,第1期,2006.03,第61-80頁
9. 傳統密碼之旅(下) 數學傳播季刊, 中研院數學所出版,第30卷,第2期,2006.06,第55-76頁
10. 交錯級數收斂性的探討 數學傳播季刊, 中研院數學所出版,第35卷,第3期,2011.09,第22-30頁
11. 「抽象代數」真的抽象嗎?(上) 數學傳播季刊,第36卷,第2期,2012.06,第34-51頁
12. 「抽象代數」真的抽象嗎?(下) 數學傳播季刊,第36卷,第3期,2012.09,第24-40頁
13. 從費馬到拉格蘭日 數學傳播季刊, 中研院數學所出版,第39卷,第1期,2015.03,第39-45頁
0. What is the original of Eukirid
1. On Characterizations of the Gamma Function Math Mag,Vol.68, No.4, 1995.10,pp.301-305
2. From Yula number e to Stirling Normal Mathematics Dissemination Quarterly, Published by the Institute of Mathematics of China Research Institute, Volume 20, Issue 1, 1996.03, Pages 34-45
3. Extension factor in inequality Donghai Journal, Vol. 39, 1998.07, Pages 45-51
4. Using Mathematica to explore the power of nature Donghai Science, Vol. 2, Issue 2, 2000.07, Pages 55-68
5. A Note on the Sums of Powers of Consecutive Integers Donghai Science, Vol.5, 2003.08, pp.101-106
6. An exploration of the negative sum of natural numbers using Mathematica Donghai Science, Vol. 5, Issue, 2003.08, Pages 61-75
7. Mathematics Light Travel Quarterly Mathematics Publication, Published by the Institute of Mathematics, China Academy of Sciences, Volume 29, Issue 4, 2005.12, Pages 45-71
8. Trip to Traditional Password (Part 1) Mathematics Publication Quarterly, Published by Institute of Mathematics, China Research Institute, Volume 30, Issue 1, 2006.03, Pages 61-80
9. Trip to Traditional Password (Part 2) Mathematics Publication Quarterly, Published by Institute of Mathematics, China Research Institute, Volume 30, Issue 2, 2006.06, Pages 55-76
10. An Exploration of Submission Certification Mathematics Publication Quarterly, Published by Institute of Mathematics, China Research Institute, Volume 35, Issue 3, 2011.09, Pages 22-30
11. Is "abstract aging" really abstract? (Part 1) Mathematics Communication Quarterly, Volume 36, Issue 2, 2012.06, Pages 34-51
12. Is "abstract algebra" really abstract? (Part 2) Mathematics Communication Quarterly, Volume 36, Issue 3, 2012.09, Pages 24-40
13. From Fee to Laglan Day Mathematics Dissemination Quarterly, Published by Institute of Mathematics, China Academy of Sciences, Volume 39, Issue 1, 2015.03, Pages 39-45


評分方式 Grading

評分項目 Grading Method 配分比例 Grading percentage 說明 Description
期中考試期中考試
Midterm exam
20
期末考試期末考試
Final exam
20
平時測驗平時測驗
Daily test
60

授課大綱 Course Plan

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Course Information

Description

學分 Credit:0-3
上課時間 Course Time:Tuesday/4[ST527] Wednesday/3,4[ST529]
授課教師 Teacher:沈淵源
修課班級 Class:應數系2-4
選課備註 Memo:
授課大綱 Course Plan: Open

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