Applied Math in Production
How linear algebra, probability, and optimization theory show up in everyday backend engineering.
Most engineers treat math as something you learned in school and left there. That's a mistake.
Linear algebra is everywhere.Embeddings are vectors. Similarity search is dot products. PCA for dimensionality reduction.
Probability keeps you honest."99.9% uptime" means 8 hours of downtime per year. A/B testing is hypothesis testing.
Optimization is the meta-skill.Load balancing, query planning, resource allocation — all optimization problems.
You don't need a math degree. You need mathematical fluency — the ability to recognize when a problem has a mathematical structure.