TE
科技回声
首页24小时热榜最新最佳问答展示工作
GitHubTwitter
首页

科技回声

基于 Next.js 构建的科技新闻平台,提供全球科技新闻和讨论内容。

GitHubTwitter

首页

首页最新最佳问答展示工作

资源链接

HackerNews API原版 HackerNewsNext.js

© 2025 科技回声. 版权所有。

Interactive Linear Algebra

981 点作者 kondor超过 5 年前

21 条评论

bhntr3超过 5 年前
So far I think I prefer the visualizations in <a href="http:&#x2F;&#x2F;immersivemath.com&#x2F;ila&#x2F;index.html" rel="nofollow">http:&#x2F;&#x2F;immersivemath.com&#x2F;ila&#x2F;index.html</a><p>For pure visual intuition, I prefer 3blue1brown&#x27;s Essence of Linear Algebra on Youtube (<a href="https:&#x2F;&#x2F;www.youtube.com&#x2F;playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab" rel="nofollow">https:&#x2F;&#x2F;www.youtube.com&#x2F;playlist?list=PLZHQObOWTQDPD3MizzM2x...</a>). Even though they&#x27;re not interactive, the visualizations themselves are the most compelling and insightful.<p>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.<p>Neither seems to have supporting exercises yet which I think really limits their use as primary texts.
评论 #21629901 未加载
评论 #21631257 未加载
评论 #21641061 未加载
melling超过 5 年前
Lex Friedman interviews Gilbert Strang this week:<p><a href="https:&#x2F;&#x2F;youtu.be&#x2F;lEZPfmGCEk0" rel="nofollow">https:&#x2F;&#x2F;youtu.be&#x2F;lEZPfmGCEk0</a><p>Gilbert’s Linear Algebra course:<p><a href="https:&#x2F;&#x2F;ocw.mit.edu&#x2F;courses&#x2F;mathematics&#x2F;18-06-linear-algebra-spring-2010&#x2F;" rel="nofollow">https:&#x2F;&#x2F;ocw.mit.edu&#x2F;courses&#x2F;mathematics&#x2F;18-06-linear-algebra...</a>
thinkingkong超过 5 年前
This is based on Mathbox which is... brilliant. Here&#x27;s the demo blog post that shows off what it can do: <a href="https:&#x2F;&#x2F;acko.net&#x2F;blog&#x2F;mathbox2&#x2F;" rel="nofollow">https:&#x2F;&#x2F;acko.net&#x2F;blog&#x2F;mathbox2&#x2F;</a>
评论 #21632764 未加载
评论 #21637904 未加载
impendia超过 5 年前
This looks outstanding.<p>I am a math professor, and I need to choose a book next time I teach linear algebra. It may well be this one.<p>If anyone has in-depth experience with the book, I&#x27;d be grateful to hear about it.
评论 #21651285 未加载
tiborsaas超过 5 年前
I love how approachable the writing style is. It&#x27;s very easy to write a technical introduction that assumes a lot of pre-existing knowledge of the reader. So far it&#x27;s a great read for someone like me who got discouraged by notation and cloudy terms before.<p>Looks like it&#x27;s on pair with the Book of shaders.
评论 #21631442 未加载
评论 #21630526 未加载
评论 #21632738 未加载
iLemming超过 5 年前
Also great resource: <a href="https:&#x2F;&#x2F;aiprobook.com&#x2F;numerical-linear-algebra-for-programmers" rel="nofollow">https:&#x2F;&#x2F;aiprobook.com&#x2F;numerical-linear-algebra-for-programme...</a>
Zhyl超过 5 年前
Reminds me of the Nicki Case tool:<p><a href="https:&#x2F;&#x2F;ncase.me&#x2F;matrix&#x2F;" rel="nofollow">https:&#x2F;&#x2F;ncase.me&#x2F;matrix&#x2F;</a>
majke超过 5 年前
From <a href="https:&#x2F;&#x2F;textbooks.math.gatech.edu&#x2F;ila&#x2F;overview.html" rel="nofollow">https:&#x2F;&#x2F;textbooks.math.gatech.edu&#x2F;ila&#x2F;overview.html</a><p>&gt; Most engineering problems, no matter how complicated, can be reduced to linear algebra.<p>Most problems... except a problem of too much linear algebra.
评论 #21635113 未加载
Aardwolf超过 5 年前
Good stuff.<p>One point of feedback: when making a widget fullscreen and then pressing the back button, you&#x27;re back at the previous chapter, rather than scrolled at the position you left in the current chapter.<p>I see now there&#x27;s also a &quot;make small again&quot; button far down in the bottom right, but it&#x27;s still a trap.<p>Probably it&#x27;s solved either by having the back button close the widget, or alternatively make the widget look more like an overlay and less like a new page (plus closing with &quot;esc&quot; would also help)
kd0amg超过 5 年前
<i>Linear: having to do with lines, planes, etc.</i><p>This definition makes me worry that the book is going to operate entirely in R^n. Is there anything here about substantively different vector spaces?
评论 #21631689 未加载
评论 #21633823 未加载
评论 #21634230 未加载
评论 #21631697 未加载
评论 #21632260 未加载
评论 #21644130 未加载
评论 #21634924 未加载
评论 #21632963 未加载
评论 #21633041 未加载
jacobsimon超过 5 年前
Wonderful! I remember struggling to make it through linear algebra in college because the teaching style was so unapproachable and disconnected from real applications. It wasn&#x27;t until I took computer graphics that I really grasped a lot of the concepts.
krosaen超过 5 年前
This is really neat, and it&#x27;s clear a lot of work went into the polish and interactivity. I&#x27;d love to see the elimination examples extended to show how LU factorization falls out of those steps. It seems like a key thing to grasp and lays the groundwork for understanding of related matrix factorizations like symmetric, QR and singular value decomposition.
gautamcgoel超过 5 年前
I had one of the authors (Dan Margalit) as a prof when I was a math undergrad at Georgia Tech. Cool guy and a great instructor.
photon_lines超过 5 年前
If anyone is interested in a similar intuitive or geometric guide I open sourced my own notes and you can find them here: <a href="https:&#x2F;&#x2F;github.com&#x2F;photonlines&#x2F;Intuitive-Overview-of-Linear-Algebra-Fundamentals" rel="nofollow">https:&#x2F;&#x2F;github.com&#x2F;photonlines&#x2F;Intuitive-Overview-of-Linear-...</a>
mamazaco超过 5 年前
This is our (my company) take on Linear Algebra, but then with exercises:<p><a href="https:&#x2F;&#x2F;app.bolster.academy&#x2F;courses&#x2F;chapters&#x2F;en&#x2F;6" rel="nofollow">https:&#x2F;&#x2F;app.bolster.academy&#x2F;courses&#x2F;chapters&#x2F;en&#x2F;6</a>
lotaezenwa超过 5 年前
This extensively uses the American Institute of Math&#x27;s knowls[0], which I think is excellent for math documentation.<p>[0] <a href="https:&#x2F;&#x2F;aimath.org&#x2F;knowlepedia&#x2F;" rel="nofollow">https:&#x2F;&#x2F;aimath.org&#x2F;knowlepedia&#x2F;</a>
kernoble超过 5 年前
Awesome for reference and understanding. Anyone know of good practice material? Or maybe thinking of a way of generating practice material that exercises the component skills needed to do&#x2F;understand Linear Algebra?
perl4ever超过 5 年前
I got an A- in linear algebra in college without learning <i>anything</i>, via multiple choice tests and pattern recognition. Recently, it&#x27;s started to seem like a metaphor for the state of AI.
s3arch超过 5 年前
Is there anything like this for other areas in mathematics such as Number Theory?
Jahak超过 5 年前
Good job. Thank you very much.
x7k超过 5 年前
Thank you