A mathematical exploration of estimating factorial sizes using logarithms and Stirling's approximation, with the Gamma function as a bridge.
Explores metallic ratios (golden, silver, bronze) and demonstrates approximating any real number using ratios of these ratios, with Python code for pi approximation.
Explores the mathematical approximation of e ≈ 2721/1001, highlighting its accuracy relative to denominator size.
Explores why a cosine approximation of exp(-x²) outperforms Taylor series over a larger interval, challenging common explanations.
A mathematical approximation for solving oblique triangles without inverse trig functions, with Python code example.
Explores the historical reasoning behind Stirling's approximation for factorials using basic calculus and intuitive mathematical approximations.
