分析 第I卷

Hacker News 上怎么说

• adem · 2014 年

  ……到数据结构与算法 [3] 数字设计导论 [4] 并行编程（用 Java）[5] 选修但强烈推荐，你可能会觉得它完全超纲：实分析 I [6] 实分析 II [7] 线性代数导论 [8] 物理学导论 [9] [1]: http://www.amazon.com/Touch-Class-Learning-Program-Contracts... [2]: http://ocw.mit.edu/courses/electrical-engineering-and-comput...……

  …to Datastructures and Algorithms [3] Introduction to Digital Design [4] Parallel Programming (using Java) [5] Optional but highly recommended, you'll probably find it completely out of scope: Real Analysis I [6] Real Analysis II [7] Introduction to Linear Algebra [8] Introduction to Physics [9] [1]: http://www.amazon.com/Touch-Class-Learning-Program-Contracts... [2]: http://ocw.mit.edu/courses/electrical-engineering-and-comput...…

• hamburgererror · 2026 年

  ……参考资料，我会去看看。但我可以明确说我讨厌哪种：没有任何上下文、一个接一个硬甩定理的书，比如《Baby Rudin》[1] 就是典型。我曾经试着读过陶哲轩的《Analysis I》[2]，写得确实非常好，但我最大的问题在于做练习题时根本不知道自己的证明对不对。所以可能找个老师才是解法。[1]: https://en.wikipedia.org/wiki/Principles_of_Mathematical_Ana...……

  …references, I'll have a look. I can tell you what I don't want: books that throw theorems one after the other without any context, like Baby Rudin [1] for instance. I tried once to read Terence Tao's Analysis I [2], it's really good but my main problem was that I wasn't able to know if my proofs are correct when I do an exercise. So maybe the solution is to get a teacher. [1]: https://en.wikipedia.org/wiki/Principles_of_Mathematical_Ana...…

• daffodil2 · 2014 年

  我试着读过好几次 Rudin，但读起来实在太折磨了。其实有更容易入门的分析学教材。Abbott 的《Understanding Analysis》不错，虽然稍微偏基础了点。我现在在读陶哲轩的《Analysis I》，如果你心态对头的话，这本书非常棒。前 150 页全是在从头构建实数，从……

  I've tried reading Rudin a couple times, but it's a bit of a slog. There are easier analysis texts. Abbott's Understanding Analysis is good, though a bit basic. I'm currently reading Terence Tao's Analysis I, which is very good if you're in the right frame of mind for it. The first 150 pages are spent building the real numbers from…

• dsacco · 2018 年

  ……通过前置课程做好了充分的准备。陶哲轩用了整整两本书来涵盖 Rudin 一本书讲的内容（而且阐述得更透彻）。我觉得在陶哲轩的《Analysis I》讲到极限之前，想坚持每天啃下三页都是相当难的。我觉得你低估了这其中的脑力消耗。依我看，即使你读的是一本切合你水平的数学书，坚持读下去并……

  …well-prepared for them with prerequisite courses. Terence Tao wrote two books to cover (with better exposition) what Rudin did in one. I think it would be pretty hard to read consistently three pages of Tao's Analysis I each day, before he even gets to limits. I think you're underestimating the intellectual effort here. In my opinion, even if you're reading a math book targeted to your level, committing to reading and…

• hackermailman · 2019 年

  ……极限的定义 https://youtu.be/K4eAyn-oK4M?t=331 如果你真想搞懂这些东西，从这里开始看：https://www.youtube.com/playlist?list=PL5A714C94D40392AB ，一边看一边啃陶哲轩的《Analysis I》，直接跳到第 2 章，他从零开始讲自然数、整数等概念。Wildberger 甚至还会教你怎么做代数微积分，这对学习陶哲轩的书很有帮助……

  …definition of Limits https://youtu.be/K4eAyn-oK4M?t=331 If you really want to understand these things, start here: https://www.youtube.com/playlist?list=PL5A714C94D40392AB and watch them as you work through Analysis I by Terence Tao, skipping to chapter 2 where he begins from scratch introducing the naturals, integers, etc. Wildberger even shows you how to do algebraic calculus which will help to learn the Tao book…

• hackermailman · 2020 年

  去试试陶哲轩的书《Analysis I》，如果三角函数忘了就直接从第 2 章开始看。它从零开始定义自然数、整数、有理数和实数，同时还会教你证明到底是怎么回事。等你读到微积分章节时，去看看 Gilbert……

  Try Terence Tao's book Analysis I, start at chapter 2 if you forgot trig. Defines naturals, integers, rationals and reals from scratch teaching you how a proof works at the same time. When you get to the calculus chapters watch Gilbert…

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