……展示了相当初等（也就是本科生能看懂）的数学中最精妙的一部分证明。不过可能还是有点太深奥了（行文精练，而且涵盖范围很广）。安德烈斯库（Andreescu）和多斯皮内斯库（Dospinescu）写的《来自圣经的问题》（Problems from the BOOK，戏仿了前一个书名，而前一个书名本身又戏仿了埃尔德什名言）是一本奥数题集，可能算得上该类书籍里最顶尖的之一。奥斯汀·奥尔（Oystein Ore）写过一些很不错的入门……
…cross-section of some of the nicest proofs in reasonably elementary (read: undergrad-comprehensible) maths. Might be a bit too advanced, though (the writing is terse and a lot of ground is covered). Problems from the BOOK by Andreescu and Dospinescu (a play on the previous title, which itself is a play on an Erdös quote) is an olympiad problem book; it might be one of the best in its genre. Oystein Ore has some nice introductory…
……？）经济/金融 === - 基础经济学（托马斯·索维尔） - 经济怎样成长以及为什么会崩溃 - 认识城市 数学 === - 孟菲斯的咖啡时光 - 实分析（数学教材） - Problems from the book（这本读到一半了，我觉得非常有意思，即便我只有计算机本科学位）如果有人读过其中任何一本并有反馈/笔记，我很期待听到你们的看法！
…on?) Economy/finance === - Basic economics (Thomas Sowell) - How an economy grows and why it crashes - Know the city Math === - Coffee time in Memphis - Real analysis (mathematics textbook) - Problems from the book (Halfway through this one, and I found it really enjoyable, even with only a CS bachelors) If anyone has read any and has feedback/notes, I'm looking forward to hearing them!
…dollars during my undergrad years to pay for textbooks. It was always a crapshoot because you never knew if the professor would not use the textbook at all or would heavily rely on it and assign reading/problems from the book. There are definitely ways around purchasing expensive textbooks, but most are illegal, and none are convenient or guaranteed.
…repetition software, but were excellent at their studies because they consistently solved textbook problems. For them, they got the "repetitions" (aka exposure to facts and problems) via solving more new problems from the book nearly every day. Later problems in the textbooks would provide review of previous problems. This method can be far more effective than spending too much studying with spaced repetition software (which…
In my experience, the best way to get better at math is to do a lot of it. Find some book that's "good enough" for some topic you're interested, and work many many problems from the book. You'll learn about the topic, but more importantly you'll learn problem solving skills. I recommend working the problem until you're sure the answer is right -- in grad school problem sets didn't have…
……还包含了一大堆涉及“邻域”（neighborhoods）的数学知识，也就是距离某个点 X 在任意小的 epsilon 范围内的所有点的集合。虽然我从来没做过那本书里的任何一道数学题，但早早接触到 epsilon 让我后来学微积分容易懂得多，正因如此，我对它情有独钟。
…also included a bunch of mathematics involving "neighborhoods", meaning the set of all points within a distance of an arbitrarily small epsilon from some point X. Although I never did any of the math problems from the book, that early exposure to epsilon made calculus vastly easier to understand, and for that, it's close to my heart.
……展示了相当初等（也就是本科生能看懂）的数学中最精妙的一部分证明。不过可能还是有点太深奥了（行文精练，而且涵盖范围很广）。安德烈斯库（Andreescu）和多斯皮内斯库（Dospinescu）写的《来自圣经的问题》（Problems from the BOOK，戏仿了前一个书名，而前一个书名本身又戏仿了埃尔德什名言）是一本奥数题集，可能算得上该类书籍里最顶尖的之一。奥斯汀·奥尔（Oystein Ore）写过一些很不错的入门……
…cross-section of some of the nicest proofs in reasonably elementary (read: undergrad-comprehensible) maths. Might be a bit too advanced, though (the writing is terse and a lot of ground is covered). Problems from the BOOK by Andreescu and Dospinescu (a play on the previous title, which itself is a play on an Erdös quote) is an olympiad problem book; it might be one of the best in its genre. Oystein Ore has some nice introductory…
……？）经济/金融 === - 基础经济学（托马斯·索维尔） - 经济怎样成长以及为什么会崩溃 - 认识城市 数学 === - 孟菲斯的咖啡时光 - 实分析（数学教材） - Problems from the book（这本读到一半了，我觉得非常有意思，即便我只有计算机本科学位）如果有人读过其中任何一本并有反馈/笔记，我很期待听到你们的看法！
…on?) Economy/finance === - Basic economics (Thomas Sowell) - How an economy grows and why it crashes - Know the city Math === - Coffee time in Memphis - Real analysis (mathematics textbook) - Problems from the book (Halfway through this one, and I found it really enjoyable, even with only a CS bachelors) If anyone has read any and has feedback/notes, I'm looking forward to hearing them!
……我本科期间花了不少钱买教材。买教材总像是在碰运气，因为你根本不知道教授是完全不用教材，还是会重度依赖它、布置阅读任务或书里的习题。绕开购买昂贵教材的办法肯定有，但大多数都不合法，而且没有一个既方便又有保障的。
…dollars during my undergrad years to pay for textbooks. It was always a crapshoot because you never knew if the professor would not use the textbook at all or would heavily rely on it and assign reading/problems from the book. There are definitely ways around purchasing expensive textbooks, but most are illegal, and none are convenient or guaranteed.
……间隔重复软件，但成绩依旧拔尖，因为他们坚持刷教材上的题目。对他们来说，他们是通过几乎每天做更多书里的新题来获得“重复”（也就是接触知识点和问题）的。教材后面的题目也会提供对之前题目的复习。这种方法比起把过多精力花在用间隔重复软件学习上，可能要有效得多（后者……
…repetition software, but were excellent at their studies because they consistently solved textbook problems. For them, they got the "repetitions" (aka exposure to facts and problems) via solving more new problems from the book nearly every day. Later problems in the textbooks would provide review of previous problems. This method can be far more effective than spending too much studying with spaced repetition software (which…
根据我的经验，学好数学最好的方法就是大量刷题。找一本关于你感兴趣的主题“足够好”的书，然后死磕书里的很多很多习题。你不仅能学到这个主题的知识，更重要的是能掌握解题技巧。我建议做题一定要做到确信答案正确为止——在读研的时候，习题集可没有……
In my experience, the best way to get better at math is to do a lot of it. Find some book that's "good enough" for some topic you're interested, and work many many problems from the book. You'll learn about the topic, but more importantly you'll learn problem solving skills. I recommend working the problem until you're sure the answer is right -- in grad school problem sets didn't have…
……还包含了一大堆涉及“邻域”（neighborhoods）的数学知识，也就是距离某个点 X 在任意小的 epsilon 范围内的所有点的集合。虽然我从来没做过那本书里的任何一道数学题，但早早接触到 epsilon 让我后来学微积分容易懂得多，正因如此，我对它情有独钟。
…also included a bunch of mathematics involving "neighborhoods", meaning the set of all points within a distance of an arbitrarily small epsilon from some point X. Although I never did any of the math problems from the book, that early exposure to epsilon made calculus vastly easier to understand, and for that, it's close to my heart.