Chaos Theory: A Mathematical Journey
A sequenced reading path from smooth functions to strange attractors, building intuition for how chaos emerges from deterministic systems.
Learn how holomorphic functions stretch, fold, and create fractal boundaries — the analytical seed of chaos. Develop a precise understanding of smoothness and mapping behavior.
Learning Objectives
- Master analytic functions and conformal mappings.
- Understand and apply the Cauchy Integral Formula.
- Explore the concept of analytic continuation.
Core Text
Lars Ahlfors – Complex Analysis
Reading Materials
Core Text
Lars Ahlfors – Complex Analysis
The classic, rigorous foundation for the analytical properties of complex functions.