线性代数应该这样学

Hacker News 上怎么说

• Mugwort · 2019 年

  有本免费书当补充材料挺不错的。Sheldon Axler 写的《线性代数应该这样学》（Linear Algebra Done Right）是好得多的选择；在学习上做投资时，尤其是像线性代数这么难的学科，省钱去啃免费教材可能反而是代价最高的……

  It's nice to have a free book as a supplement. Linear Algebra Done Right by Sheldon Axler is a much better choice and when making an investment in learning, particularly a difficult subject like linear algebra, saving money with a free text is probably the most expensive thing…

• WallWextra · 2014 年

  ……不是一本很难的书，但非常抽象、严密，很适合作为入门教材。如果你觉得自己微积分底子还可以，可以试试 Charles Pugh 的《真实数学分析》。其他好书还有 Axler 的《线性代数应该这样学》，或者 Friedberg、Insel 和 Spence 合著的那本线性代数。甚至可以先把线性代数学了，它太有用了。每一章都要做大量的习题，并且仔细阅读。大概需要准备……

  …not a difficult book but is very abstract and rigorous so makes a good introduction. If you feel like you have ok calculus chops, maybe Real Mathematical Analysis by Charles Pugh. Other good books are Linear Algebra Done Right by Axler, or the linear algebra book by Friedberg, Insel, and Spence. Maybe even learn linear algebra first. It's so useful. Do plenty of exercises in every chapter, and read carefully. Count on about…

• nextos · 2015 年

  我发现 Axler 的《线性代数应该这样学》是一本绝妙的理论教材，从第一天起就能让你茅塞顿开。它源自他的论文《Down with Determinants》（打倒行列式）。他开篇就解释说线性代数的本质是研究……

  I found Linear Algebra Done Right by Axler to be a fantastic theoretical text that makes everything click together from day 1. It's derived from his paper Down with Determinants. He starts by explaining that linear algebra is about studying…

• kakali · 2021 年

  《线性代数应该这样学》https://linear.axler.net/ 该页面上有这本书的紧凑免费版。

  "Linear Algebra Done Right" https://linear.axler.net/ There's a compact and free form on the book on that page.

• laichzeit0 · 2016 年

  ……不要急着刷题，而是要通过每一道题来开拓思路。第 4 步：挑一本下面你最感兴趣的书，按同样的方法刷：- Spivak 的《微积分》 - Paolo Aluffi 的《代数：第 0 章》 - Axler 的《线性代数应该这样学》。到了那一步，你的数学素养应该足够让你明白下一步该学什么了。

  …rush through it, but to expand your mind through each problem. Step 4: Pick any of these books that interest you the most and do the same: - Calculus by Spivak - Algebra: Chapter 0 by Paolo Aluffi - Linear Algebra Done Right by Axler By then you should have enough mathematical maturity to know what to do next.

• nilkn · 2016 年

  这就是为什么我是 Axler《线性代数应该这样学》的死忠粉。这本书强调的是计算背后的概念，而不是机械计算。不过在回避行列式这一点上，我其实不太赞同 Axler 的做法。我倒希望他别回避它……

  This is why I'm a big fan of Axler's Linear Algebra Done Right. The book's emphasis is on the concepts behind the calculations rather than the calculations. I actually disagree with Axler on his avoidance of the determinant, though. I wish instead of avoiding it…

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