Explores fractals, dimensions, and applications, including mountain formation simulation and landscape authoring through erosion and vegetation interplay.
Explores building a roulette, probability distributions on curves, and properties of random surface models, including the groundbreaking Schramm-Loewner evolution processes.
Covers the calculation of curvilinear integrals for a continuous function in R^n and the interpretation of the integral as the sum of small segments along a curve.