課程名稱 |
近世代數二 Modern Algebra (Ⅱ) |
開課學期 |
105-2 |
授課對象 |
理學院 數學研究所 |
授課教師 |
康明昌 |
課號 |
MATH5002 |
課程識別碼 |
221 U6590 |
班次 |
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學分 |
3.0 |
全/半年 |
半年 |
必/選修 |
必修 |
上課時間 |
星期一3,4(10:20~12:10)星期四8,9(15:30~17:20) |
上課地點 |
天數304天數304 |
備註 |
總人數上限:40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 |
課程大綱
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課程概述 |
Algebra provides common and powerful language in describing symmetry in all areas of science. This course provides an opportunity to learn the basics of algebra, both commutative and non-commutative, especially to those who did not have them in their undergraduate study and would like to know them as tools or as research topics toward their graduate study. |
課程目標 |
1. Commutative Algebra
2. Homological Algebra
3. Representation Theory |
課程要求 |
Undergraduate Algebra and Modern Algebra I |
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 |
1. Hungerford, Algebra, GTM 73, Springer Verlag (2003)
2. Lang, Algebra, GTM 211, Springer Verlag (2005)
3. Herstein, Noncommutative rings, Mathematical Assoc. America (1971)
4. Atiyah, MacDonald, Introduction to commutative algebra, Westview Press (1994)
5. Artin, Algebra, Prentice Hall (1991)
6. Dummit, Foote, Abstract Algebra, Wiley (2011)
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評量方式 (僅供參考) |
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