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Ask HN: How to Learn Math

5 点作者 theshire大约 8 年前
I&#x27;ve taken up to Calculus 1 in college but that was a few years ago and haven&#x27;t touched math since I still remember things but not as good as it was when I was taking classes a while back.<p>I want to learn and understand math everything from Fractions, ratios to Algebra being able to make sense of the world and understand math the big picture. I wanna know how to use variables to solve for unknowns in word problems any word problem understand the concept of math.<p>How would you go about this? books, videos or websites much appreciated.

3 条评论

hugja大约 8 年前
Found [1]this while browsing &#x2F;r&#x2F;learnmath, it might be of some help.<p>1. <a href="https:&#x2F;&#x2F;www.physicsforums.com&#x2F;threads&#x2F;micromass-insights-on-how-to-self-study-mathematics.868968&#x2F;" rel="nofollow">https:&#x2F;&#x2F;www.physicsforums.com&#x2F;threads&#x2F;micromass-insights-on-...</a>
espeed大约 8 年前
How much math have you had in school? What classes have you taken? Are you still in school, and if so, what is your major?
评论 #13713038 未加载
espeed大约 8 年前
Start with a refresher on calculus -- MIT&#x27;s &quot;Big Picture Calculus&quot; video series is designed precisely for this: <a href="https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=13634476" rel="nofollow">https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=13634476</a><p>To develop your visual intuition, watch 3Blue1Brown&#x27;s YouTube channel (he also has an &quot;Elements of Calculus&quot; series coming soon): <a href="https:&#x2F;&#x2F;www.youtube.com&#x2F;channel&#x2F;UCYO_jab_esuFRV4b17AJtAw" rel="nofollow">https:&#x2F;&#x2F;www.youtube.com&#x2F;channel&#x2F;UCYO_jab_esuFRV4b17AJtAw</a><p>Try to find the geometrical underpinning for each topic you learn. This will not only help you visualize what you&#x27;re learning, but it will also help keep a red thread going as you traverse from topic to topic.<p>After calc, I would study Linear Algebra next since it&#x27;s at the heart of numerical computing today, see: <a href="https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=13620871" rel="nofollow">https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=13620871</a> (note the comments, they also include many good pointers and references, e.g. here&#x27;s a list of video&#x27;s that help you visualize <a href="https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=13623711" rel="nofollow">https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=13623711</a>).<p>The Numberphile channel is always good to keep your mind thinking in numbers: <a href="https:&#x2F;&#x2F;www.youtube.com&#x2F;user&#x2F;numberphile" rel="nofollow">https:&#x2F;&#x2F;www.youtube.com&#x2F;user&#x2F;numberphile</a><p>Also, you can go through my HN stories profile -- there are a ton of math-related links and discussions in there, such as this one: <a href="https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=13631213" rel="nofollow">https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=13631213</a><p>Explore math topics on WikiPedia, YouTube and online lectures from MIT&#x2F;Stanford&#x2F;Caltech&#x2F;Berkeley etc.<p>Group theory comes up often: <a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Group_theory" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Group_theory</a><p>Set theory is at the root of everything: <a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Set_(mathematics)" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Set_(mathematics)</a><p>Pay close attention to the concept of intervals: <a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Interval_(mathematics)" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Interval_(mathematics)</a><p>Practice reading journal articles until you can start to understand the notation (this may take a while but persevere, the continual exposure will start building fluency).<p>Practice implementing the concepts you&#x27;re learning in Python.<p>Ask questions on MathOverflow <a href="http:&#x2F;&#x2F;mathoverflow.net" rel="nofollow">http:&#x2F;&#x2F;mathoverflow.net</a>. Quora is also good: <a href="https:&#x2F;&#x2F;www.quora.com&#x2F;" rel="nofollow">https:&#x2F;&#x2F;www.quora.com&#x2F;</a><p>Get and read SICP and do the material for the online MIT SICP course (it&#x27;s the all-time classic CS course, with a math bent): <a href="https:&#x2F;&#x2F;ocw.mit.edu&#x2F;courses&#x2F;electrical-engineering-and-computer-science&#x2F;6-001-structure-and-interpretation-of-computer-programs-spring-2005&#x2F;" rel="nofollow">https:&#x2F;&#x2F;ocw.mit.edu&#x2F;courses&#x2F;electrical-engineering-and-compu...</a><p>...the SICP videos are on YouTube too <a href="https:&#x2F;&#x2F;www.youtube.com&#x2F;playlist?list=PLB63C06FAF154F047" rel="nofollow">https:&#x2F;&#x2F;www.youtube.com&#x2F;playlist?list=PLB63C06FAF154F047</a><p>Explore and have fun!