Hi Ron here. Well working on my math products, I curated the following list of tools and websites I have been using in my daily routine.
Top 6
Art of Problem Solving (AOPS)
Art of Problem Solving AOPS is my go-to website for finding inspirations for my math curriculum creation. It is not only a website for math nerds but indeed a hub for curiosity and sharing. I highly recommend it. It is founded by Richard Rusczyk.
Wolfram Alpha is the No.1 compute engine for solving math problems. My use case for Wolfram Alpha is to do integrals... But honestly with better natural language understanding, you can use it to do anything.
Speaking of natural language understanding, ChatGPT has been a must-have for my daily work. I do not use ChatGPT to do calculations directly for me as it is not capable of doing calculation precisely as of today ( Feb, 2024).
For my math works, I use ChatGPT to do two things.
Write short Python scripts for some simulation works. The best thing about this is that whenever something is wrong, I can post the error log to it directly without trying to find the specific line that is broken.
Find historical docs about a topic. Google's searching result quality has been decreasing for me.
MathPix is the only LaTeX tools I use right now. It is the final solution for my LateX work. I use LaTeX in my videos, in my curriculum development and also in blogs. I have tried all kinds of solutions but this is the ultimate workflow.
I figured out all the math details on my scratch book,
I write the steps and the equations, etc. cleanly and nicely on a clean paper.
I use MathPix to take a picture and convert it to LaTeX, often with minimum editing after that.
I export the code or the image directly from my Mac. The synchronization between your phone and the computer is amazingly fast.
For example, below is the Euler integral for the first kind.
MathPix didn't get the second to last line correct but with some editing, I have the following.
Give it a try. It's a paid tool though.
Desmos is an online calculator and it has been way beyond this definition. Many people create math arts using it. I often use it to graph functions and use it extensively in my online courses. You can do basic stuff like the following.
And you can create robotic arm animations like the following.
Math StackExchange is the most "professional" and open math forums that are still considered accessible for the general public, period. If you are looking for more in-depth questions and answers that require certain level of prerequisites knowledge, come to Math StackExchange.
General Purposes:
The following websites and tools are also very helpful but I have to admit that many of them has some distracting content.
There are a lot of amazing content creators on X.com, if you don't know who to following, start following my account :)
The same idea applies to reddit. I often browse the math subreddit. However, the overall quality is not that suitable for ME. It may be good for you if you are learning more basic-level math.
YouTube
The best university and the worst time wasting site in one place. Start following my channel here:
Python
The programming language can do anything. Although I often get distracted by most trending libraries and can't wait to try them and waste several hours...
I use Manim to do most of my math animations.
Discord
There are a few pretty nice discord servers that people discuss math related content on them. The ones I like the most are SOME (3b1b's summer of math exposition) and the official server of manim.
Additional Resources
Here are a few honorable mentions.
Last update: Feb 19, 2024
Terry Tao's site: https://terrytao.wordpress.com/. What? You don't know who Terry Tao is? You need to watch more YouTube Math videos, bro.