Deep dives into mathematical beauty, research frontiers, and the equations shaping our world.
Showing 7–12 of 14 articles
The extraordinary formulas that arrived in letters from Madras
Srinivasa Ramanujan produced formulas for 1/π of staggering complexity and beauty — with no formal proofs. We trace the...
When Fourier meets computation
Spectral methods transform PDEs into algebraic systems using global basis functions. We survey how Fourier and...
Persistent homology and the topology of point clouds
Topological data analysis uses algebraic topology to extract structural features from complex datasets. We explain...
How ratios, frequencies, and transforms create harmony
From Pythagorean tuning to the Fast Fourier Transform, mathematics and music have been intertwined for millennia. We...
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...