MathMaps©
Complex Numbers
When I started studying complex analysis for the first time, it felt like I was exploring math’s other half. So many concepts in everything from Calculus to Geometry possess incredible symmetries when viewed with this strange but powerful number system, and I want this content map to reflect these symmetries in number theory, basic geometry, and more.
What’s next?
A deep dive into Euclidean Geometry, which has been amazing to rediscover 3 years after the course in middle school. Would love to cover some of the higher-level theorems and explore some of the problems that have been living in my head rent-free since I started relearning! Full map TBD.
Starting as a necessary evil to begin to actively engage with physics in middle school, Calculus was probably my first dive down the rabbit hole of math and has always been special to me as a result. Having studied the basics independently, as I start Calc 4 in school this year I hope to be able to give an intuitive guide to some of my favorite concepts in this beautiful field. Full map TBD, but will likely focus on a crash course of the basics so I can talk about some of the things I’m learning in vector Calculus.
It’s been said that “natural numbers were created by God, everything else is the work of men,” but for a long time such fascination with what I considered the most basic part of math perplexed me. After getting a taste of the subject at the start of this summer though, I’m eager for more, and can’t wait to report what I find. Full map TBD.