Category
Differential equations, optimization, numerical methods, and signal processing — the mathematics that powers engineering, physics, finance, and the modern world.
4 articles
The computational engine behind topological data analysis, built up from geometric intuition
Persistent homology tracks how loops, clusters, and voids in data survive across scales, revealing shape that means and...
When Fourier meets computation
Spectral methods transform PDEs into algebraic systems using global basis functions. We survey how Fourier and...
Random walks on Wall Street — literally
Monte Carlo simulation is the backbone of derivatives pricing. We explore the mathematics of random sampling, variance...
Why your online banking depends on abstract algebra
Elliptic curve cryptography provides the strongest security per bit of any known public-key system. We explore the...