Mathematics Resources

YouTube Channels

• Veritasium
• Numberphile
• Ted-Ed
• Quanta Magazine
• 3Blue1Brown
• EpsilonDelta
• Abide By Reason
• MathTheBeautiful
• Numeracy Lab (Mandarin)
• Math & Logic (Mandarin)

Books

Math books are listed here.

Competition Problems

Ordered by difficulty, from easy to hard: (with solutions)

• CEMC Past Contests
• Repêchage Problems
• CMO Problems
• The Putnam Archive

Professors' Websites

A lot of math professors generously post their handouts, notes, problem sets, etc. on their website. Below are some that I know of.

• Professor Ed Barbeau's Website
• Professor Eckhard Meinrenken's Website
• Professor Dror Bar-Natan's Website
• Professor William Weiss's Website
• Professor Stevo Todorcevic's Website
• Professor Hua-Chieh Li's Website (Mandarin)

GeoGebra and Desmos

Desmos is an interactive graphing calculator where you can input functions or equations and it will draw their graphs. GeoGebra (GGB) is similar, but a lot more powerful: it combines geometry and algebra—hence the name “GeoGebra”—allowing you to draw graphs not only with algebraic expressions but also using geometric (and various other) commands. It can even visualize 3D objects. It also integrates tools such as spreadsheets and scripting, and it is extremely useful for visualizations, simulations, and experimenting with mathematical concepts. The best thing: THEY ARE FREE!

• GeoGebra.org
• The GeoGebra website, where you can use GeoGebra calculators online; also contains tutorials and various other resources. (You can save files online as well if you create an account.)
• GeoGebra Manual
• The complete list of commands and tools.
• GeoGebra Installation
• The page contains all the GeoGebra versions you can install. (But I recommend Classic 5 because it has the most features.)
• GeoGebra Classic Online
• The default calculators on the GeoGebra website are non-classic ones. Use this link if you need features that are only in Classic.
• Desmos.com

LaTeX

LaTeX-related resources are listed here.

Other Resources

• pi-Base
• MIT OpenCourseWare
• NTU OpenCourseWare (Mandarin)
• Handouts I made for math club meetings in highschool (Mandarin)
• Acknowledgement: The story-telling passages in the handout were copy-pasted from external resources; I did not write them myself. I did not use proper in-text citations because I was not that aware of their importance then (I was Grade 10); besides, this was just a math club meeting handout, not some serious academic paper. I did, however, list all resources I referred to on the last page.