科学与数学textbooks.math.gatech.edu编辑精选
交互式线性代数
Interactive Linear Algebra
2019 — 2024，它一次次回到首页
黑点是上首页（≥ 50 分）的那次投稿，空心点是没冲上去的投稿，点越大分数越高。
导读
这是佐治亚理工学院推出的交互式线性代数教材，以网页形式呈现，包含可交互图示和可折叠示例，内容从矩阵与线性方程组讲起。评论者常把它与 Immersive Math、3Blue1Brown 等资源比较，并讨论交互式教材相比纸质书的优势。
为什么经久不衰：交互式可视化让抽象线性代数概念可动手探索，且多年来持续被推荐为学习与教学的候选教材。
HN 评论精选
比较三套资源，指出本教材偏矩阵/方程组且缺配套习题。
目前为止我更喜欢 immersivemath.com 里的可视化。若纯论视觉直觉，我更喜欢 3Blue1Brown 的《Essence of Linear Algebra》；它们虽不互动，但可视化本身最有说服力和洞察力。有人同时用过这两个交互教材吗？我的初步印象是 GA Tech 这本从矩阵和方程组的应用讲起（像 Strang），immersive math 更聚焦向量、几何和计算机图形应用。两者似乎都还没有配套习题，这确实限制了它们作为主教材的使用。
bhntr3查看英文原文
So far I think I prefer the visualizations in http://immersivemath.com/ila/index.html For pure visual intuition, I prefer 3blue1brown's Essence of Linear Algebra on Youtube (https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab). Even though they're not interactive, the visualizations themselves are the most compelling and insightful. Has anyone used both interactive texts? My initial impression is that the GA Tech text starts with matrices and applications to systems of equations (like Strang) while the immersive math one seems to start more focused on vectors and geometry with computer graphics applications. Neither seems to have supporting exercises yet which I think really limits their use as primary texts.
指出其技术底座 Mathbox 很出色。
这是基于 Mathbox 构建的，而 Mathbox……非常出色。这里有个展示其能力的演示博客：https://acko.net/blog/mathbox2/
thinkingkong查看英文原文
This is based on Mathbox which is... brilliant. Here's the demo blog post that shows off what it can do: https://acko.net/blog/mathbox2/
数学教授认为它可能被选作教材，并想了解使用体验。
看起来非常出色。我是数学教授，下次教线性代数时需要选一本教材，很可能就是这本。如果有人深入使用过这本书，我很想听听经验。
impendia查看英文原文
This looks outstanding. I am a math professor, and I need to choose a book next time I teach linear algebra. It may well be this one. If anyone has in-depth experience with the book, I'd be grateful to hear about it.
赞赏可切换示例等交互设计，并希望更多教材利用 Web 的交互能力。
我只粗略浏览过。这个主题我已经懂，所以判断不了它是否真是好资源，但初步印象是我很喜欢。我认为教材尤其是数学教材，是印刷出版反而不利的一个例子，PDF 也算。因为必须按印刷形式排版，你不得不用例子和脚注塞满解释，占据物理空间。这里例子可以切换：想探索时可以展开，不需要时可以收起；复习备考时尤其有用。另外在教材里找东西很痛苦，我希望能给内容打标签再搜索标签。更不用说用静态图像解释困难内容时，能缩放、平移、暂停、慢放、快放地操作动画是巨大优势。总而言之，我希望看到更多交互式教材，Web 这种表达力很强的文档形式应该被更多利用。
scythmic_waves查看英文原文
I've only just skimmed through this. And it's a subject I already know so I can't tell if it's actually a good resource. However, my initial impression is that I love it. I think that textbooks, math textbooks in particular, are an example where print publishing does a disservice. (I'm counting PDFs here too.) By having to lay everything out in print form, you have to clutter up your explanations with examples and footnotes that take up physical room. Here, the examples are toggle-able. If I _want_ to explore an example, I can. But I don't need to. This kind of thing is especially helpful when reviewing content for, say, a test rather than learning it for the first time. Also finding things in textbooks is a real pain. It's difficult to index things in a helpful way, so you just have these counting schemes in LaTeX that increment for every definition, theorem, etc. I'd love to be able to tag things then search the tags. And that says nothing for when you want to explain something that's difficult with static images. Being able to interact with animations by zooming, panning, pausing, slowing down, speeding up, etc. is a boon. (I don't think I actually saw an example of a non-static image here, but I think my point still stands.) All in all, I'd love to see more interactive textbooks. We've got this really expressive kind of document via the web. I think we should be taking advantage of it more.
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