The Nature of Mathematical Modeling (draft)¶

Introduction¶

Mathematical Computing¶

Linear Algebra and Calculus¶

Computational Geometry¶

Differential and Difference Equations¶

Variational Principles¶

Finite Differences¶

Finite Elements¶

Discrete Elements¶

Random Systems¶

Transforms¶

State Estimation¶

Function Fitting¶

Search¶

Density Estimation¶

Constrained Optimization¶

Neural Networks¶

Machine Learning¶

(c) Neil Gershenfeld 1/19/26