This is a list of online mathematical resources that I have found interesting and/or useful.

- If you want to start reading math blogs, I recommend Terence Tao’s and Tim Gowers’ blogs, as well as John Baez’s. To help keep up with multiple blogs, you can use an RSS reader.
- If you’re having trouble with a mathematical concept or problem, try asking for help on Math Overflow (for serious students and researchers) or math.stackexchange.com (for everyone).
- If you are a middle- or high-school student interested in mathematics, or working with such students in some capacity, I recommend the resources at Art of Problem Solving.

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on July 23, 2011 at 2:45 pm |antoniocsNo love for khanacademy.org?

on July 23, 2011 at 8:46 pm |Qiaochu YuanI’m sure it’s wonderful, but I haven’t used it myself so I can’t personally recommend it.

on July 24, 2011 at 5:45 am |antoniocsIt is very nice for people that need to learn or relearn math in completely free way (not just math by the way!). :)

on August 8, 2013 at 7:07 am |johnIt’s for children mainly

on August 31, 2011 at 8:08 pm |fractalsandflowersKhanacademy is pretty good for getting a good, all around knowledge of a lot of things, from US history to science. As far as the math goes (from the couple videos I watched), it seems pretty standard. That is, you are not going to learn anything there that you can’t learn from a high school textbook. Of course, you cannot find Khan’s charm in a text book.

on March 12, 2012 at 6:30 am |Dr. Terry AllenI have played guitar for 45 years.

In order to explain guitar tunings I developed an arithmetic = algebra + logic to change tuning and key. Then I realized this is the Tarski definition of an algorithm.

I found a simple tonal vector that describes the barycentric states of system that define a tuning as complete.

This lead to a surprising topology for all music: the binary path of tonal movement must be SO3.

Unless I am mistaken this is rather obvious but somehow over-looked in the literature.

I wonder if you think I could post some of my ideas about this in your blog?

Dr. Terry Allen

Spokane, WA

on May 29, 2012 at 1:55 pm |sivaambiThe link for MathOnline doesn’t work.

on May 29, 2012 at 6:30 pm |Qiaochu YuanThat’s unfortunate! It appears to have been taken down.

on April 1, 2013 at 4:20 pm |fustrulyAlso the google reader recommendation may need updating.

on April 1, 2013 at 4:25 pm |Qiaochu YuanGood point. I’m not confident enough to recommend a replacement for Google Reader yet but I’ll update once I have a better idea of what the other options are.