Here are some references for interesting topics which go beyond your usual CEGEP math courses, which you could use for some vacation reading/watching… Most of these are free and available online, some others are actual textbooks, which you should be able to find in our - or a public - library.

Even if the topic titles don’t mean anything to you (yet), or if they don’t sound that interesting, I highly recommend you just watch some of the videos, I think you’ll be pleasantly surprised. Also, don’t be discouraged if you don’t understand everything shown - the goal should be firstly to just get a rough overview of all the different kinds of “Math” which are out there, and see if you find a topic interesting.

Have fun (and let me know if you have questions or want even more recommendations)!

Gabriel Indurskis

Fractals

Probability and Statistics

Knot Theory

Knot Theory is a subfield of Topology which is also related to Graph Theory.

Topology (including Graph Theory)

Complex Numbers, Quaternions, and more

Group Theory

Error-correcting Codes

Useful free/open-source Mathematics Websites/Software

  • CoCalc (Collaborative Calculation in the Cloud): This includes the computer algebra system “Sage”, amongst many other things. Highly recommended. Watch the short video on the main page for an introduction.
  • Desmos (easy to use online graphing calculator)
  • Geogebra (great for geometric constructions)

Mathematical Typesetting (LaTeX)

Programming

General

Silly


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Gabriel Indurskis Avatar Gabriel Indurskis

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