課程說明
群與環。置換。有限對稱群。多項式、唯一因式分解整域。商環、理想。域擴張、有限域。多項式方程。幾何作圖——三個著名問題:倍立方、任意角三等分、正方形之面積化圓(化圓問題)。
先修條件
- 先修科目:MATH 2108,或經學院允許。
條件與方式
- 不予重複加給學分(Precludes additional credit for Precludes additional credit for MATH 3106 and MATH 3158 .)。
- 先修科目:MATH 2108,或經學院允許。
- 每週三小時講課及一小時課堂教學。
原文參考文本
Groups and rings. Permutations. Finite symmetry groups. Polynomials, unique factorization domains. Quotient rings, ideals. Field extensions, finite fields. Polynomial equations. Geometric constructions - three famous problems: duplication of the cube, trisection of an arbitrary angle, quadrature of the circle.
- Prerequisite(s): MATH 2108 , or permission of the School.
- Precludes additional credit for Precludes additional credit for MATH 3106 and MATH 3158 .
- Lectures three hours a week and one hour tutorial.
來源與參考
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來源參考 : https://calendar.carleton.ca/undergrad/courses/MATH/