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所在平台: Udemy |
课程主页: https://www.udemy.com/course/how-to-write-proofs-in-set-theory-with-the-math-sorcerer/
课程评论：没有评论
课程名称：用数学巫师的方式撰写集合论中的证明 (How to Write Proofs in Set Theory with the Math Sorcerer) 课程概览： 本课程专注于集合论中的证明写作。课程从集合论的一些非常基础的概念开始，初时会提供一些简单的例子，但很快便会进入证明的环节。 重要提示： 虽然正式的学习前提是理解数理逻辑，但讲师会在证明过程中尝试解释遇到的逻辑思想。学习证明写作的最佳方式是观看他人给出严谨的证明，然后自己尝试。这便是本课程的核心理念，课程包含了大量优美、100%正确且文笔优良的证明！ 学习建议： 1. 观看介绍视频（如有需要），这些视频涵盖了关于集合的基本知识。 2. 按照任意顺序观看证明视频，做好笔记，努力理解。 3. 尝试独立完成证明！如果遇到困难，可以观看视频解析后再尝试。 学习心态： 要掌握视频中展示的证明写作技巧需要付出大量努力，因此如果感到困难，请不要气馁，这是正常的。本课程非常适合想要入门证明写作的任何人。 课程特色： 课程包含大量的短视频。这种形式对于学习数学很有益处，因为它避免了每天花费大量时间。即使每天只学习一个视频，也能让你学到很多知识，并且由于视频数量众多，可以长时间地保持学习状态。请记住，数学具有挑战性且耗时，每天坚持一点点会让你的学习旅程更加愉快。 请注意：本课程没有提供详细的教学大纲。
This is a course on PROOF WRITING with Sets:)This course starts with some VERY BASIC definitions regarding the theory of sets. Some simple examples are given at the beginning, but soon after, the PROOFS begin!!Important Note: A formal prerequisite for this material is an understanding of mathematical logic. However I have tried to explain the ideas from logic as they come up in the proofs.The best way to learn to write proofs is to watch someone else give careful proofs and then try to do it on your own. This is the MANTRA behind this course which is full of beautiful 100% correct well written proofs!!!Basically just,1) Watch the introduction videos if you need to. These cover the very basic things that you should know regarding sets.2) Watch the PROOF videos in ANY order. Take notes, try to understand them.3) Try to do the proofs on your own! If you can't, watch the video and cheat and try again.It takes A LOT of effort to learn to write proofs like the ones you see in these videos, so don't feel discouraged if you find it difficult, it is supposed to be tough.This is an EXCELLENT course for anyone who wants to jump into proof writing. 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. 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 for a very long time. Remember that math can be challenging and time consuming, so if you just do a little bit every day it can make your journey much more enjoyable. I hope you enjoy this course and learn lots of mathematics.
