关于近世代数的几点教学体会

Some Teaching Experiences on Modern Algebra

近世代数是大学本科数学专业的一门专业必修课,主要讲授群、环、域的基本概念和相关理论。作为高等代数的后继课程,在很大程度上依赖于高等代数的基础理论和逻辑思维能力,却又比高等代数理论抽象得多。作者根据自身教学经验从教学内容、教学方法和教学手段三方面进行了论述。

Modern algebra is a required course for undergraduates majoring in mathematics,which mainly introduces the basic concepts and related theories about group,ring and domain.As a succeeding course of higher algebra,it relies heavily on the basic theory and logical thinking ability of higher algebra,but it is more abstract than the higher algebraic theory.According to the teaching experience,the author discusses the course from the teaching contents and teaching methods.