Hello and welcome to my corner of the worldwide web.
Mostly I write math and work on analog electronics.
Books
The current writing project is Arithmetic of the Continuum (AotC), a grimoire focused on the theory and method of real analysis and quantum mechanics. The introduction (numbers on the line), chapter one (logic and sets, with an emphasis on lattices), and chapter two (general topology and construction of R) are available to download in PDF form here.
Chapter three (modules and measures) was scheduled to be released this spring, but has been paused due to my circuit work. More info on when this will resume around when I am deeper into my next project.
I also have another exposition planned: Rhapsody in C (Rhapsody), which will be a tour of my favorite parts of complex analysis, differential geometry, and electromagnetism. I expect to get to this later in 2026.
Circuits
In analog electronics, I am interested in chaotic circuits ("aperiodic oscillators"). I built a fully functional Chua circuit this February:
I'm currently working on some variations of the Chua circuit and also my first Lorenz attractor.
contact: justinthomaschun[at]proton[dot]me