Abstract Algebra 抽象代数 (石生明教授)

Math Online Tom Circle

这位石教授的”抽象代数”很棒, 一来是他退休前的最后一课, 二来他总结为何老师教不好, 学生上完课好像听到3个大头”鬼” (群group, 环ring, 域field), 但没实际摸过。

他的第一和第二课很好, 与众不同的花时间讲 “动机”: Motivation – Why study Abstract Algebra ?

抽象代数01: Motivation


抽象代数02: 复数扩域 C
x^{2} +1=0

扩域 (Extended Field)数学思维 = 人解决问题的思维
例: 国内不可行的问题, 跳出国门, 扩大到世界领域, 就找到可行的方法。
马云的Alibaba国内不看好, 跑去美国上市, 让他马上成为中国首富的亿万富翁。

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