I just posted a new article. This one is on generating functions, a fun and powerful technique in combinatorics, and it’s designed to be accessible to anyone who’s taken calculus and remembers at least a little bit about how Taylor series work. This will hopefully be the beginning of a series of two or three articles where we explore some fun applications of the concept.
This article is a part of an effort to put some content on here that’s a little more accessible than a lot of the articles I’ve written so far. (I’ve very much enjoyed putting together the physics series, and I plan to keep working on it, but the prerequisites for those articles can be quite steep!) There are a lot of topics I’ve explored with my students in the last few years that I think could be a nice fit here, and I plan to adapt more of them into articles for this website in the coming months.
As always, if you’re reading this and have a suggestion for a topic you’d like to see explored in this format, don’t hesitate to reach out!
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