I'm a self-taught developer without formal education. After 3 months of intense study, I built a Gröbner basis engine that runs in the browser.
What it does: - Solves complex 4D systems like w²+x²+y²+z²=1 with symmetric constraints - 5-polynomial basis in 10 iterations - Exact BigInt arithmetic, zero approximations - Pure TypeScript, no dependencies
Why it matters: This makes advanced computational algebra accessible to anyone with a browser - no expensive software licenses needed.
Technical details: - Buchberger algorithm with optimized pair selection - AST architecture with Flyweight/Visitor patterns - Handles up to 7 variables practically
Live demo: https://romimath.pages.dev (Currently Gröbner basis - more features coming this week)
I'd love feedback from the computational math community.