Teaching and Research of Selected Lectures in Advanced Algebra—Taking the Section Number Fields as an Example

《高等代数选讲》这门课程对扩展学生代数学方面的知识是非常有帮助的。因此，学好这门课程对于学生后续的学业和职业发展是有益的。本文将以数域这一节为例来探讨高等代数选讲的教学与研究。The course “Selected Lectures in Advanced Algebra” is very helpful in expanding students’ knowledge of algebra. Therefore, learning this course well is beneficial to students’ subsequent academic and career development. This note will talk about teaching and research of “Selected Lectures in Advanced Algebra” by taking the section Number Fields as an example.