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.
No love for khanacademy.org?
I’m sure it’s wonderful, but I haven’t used it myself so I can’t personally recommend it.
It is very nice for people that need to learn or relearn math in completely free way (not just math by the way!).
Khanacademy 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.
I 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
The link for MathOnline doesn’t work.
That’s unfortunate! It appears to have been taken down.
Also the google reader recommendation may need updating.
Good 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.