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所在平台: Udemy |
课程主页: https://www.udemy.com/course/abstract-algebra-group-theory-with-the-math-sorcerer/
课程评论:没有评论
**课程名称:** 抽象代数:群论与数学巫师 (Abstract Algebra: Group Theory with the Math Sorcerer) **课程概述:** 这是一门大学水平的抽象代数课程,重点关注群论。抽象代数通常被认为是数学专业学生最难的课程之一,本课程的难度更甚于普通数学课程。**强烈建议学员具备撰写证明和理解数学符号的能力。** **学习建议:** 1. **观看视频并做笔记:** 建议跟随视频内容,用笔和纸同步记录。 2. **灵活学习:** 可以自由跳跃章节,即使感到困惑也无需气馁,因为抽象代数本身就具有挑战性。 3. **完成练习:** 课程包含分章节的短小练习,并提供答案。 4. **坚持重复:** 持续学习,完成课程的一半也能对群论有深入的认识,并显著提升数学思维成熟度。 ** kurs-inhalt:** 抽象代数与群论是一个非常优美的数学领域。本课程采用大量简短视频和配套练习的模式,适合喜欢循序渐进学习数学的学员。即使每天只学习一个视频,也能积累可观的知识。 **学习目标:** * 深入理解群论的核心概念。 * 提升数学分析和证明能力。 * 培养坚实的数学研究素养。
This is a college level course in Abstract Algebra with a focus on GROUP THEORY:)Note: Abstract Algebra is typically considered the one of HARDEST courses a mathematics major will take. This course is a step above a general mathematics course. Students should have familiarity with writing proofs and mathematical notation.Basically just,1) Watch the videos, and try to follow along with a pencil and paper, take notes! 2) Feel free to jump around from section to section. It's ok to feel lost when doing this, remember this stuff is supposed to be super hard for most people so don't get discouraged!3) After many sections there is short assignment(with solutions). 4) Repeat!If you finish even 50% of this course you will know A LOT of Abstract Algebra and more importantly your level of mathematical maturity will go up tremendously!Abstract Algebra and the Theory of Groups is an absolutely beautiful subject. I hope you enjoy watching these videos and working through these problems as much as I have:)Note this course has lots of very short videos with assignments. If you are trying to learn math then this format can be good because you don't have to spend tons of time on the course every day. Even if you can only spend time doing 1 video a day, that is honestly better than not doing any mathematics. You can learn a lot and because there are so many videos you could do 1 video a day. Good luck and I hope you learn a lot of math.