Lectures related to Continuity and Fixed Points: Understanding Functions

Explores orbits in a G-ensemble, functions of fixed points, and G-equivariance.

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Covers functions, including even and odd functions, periodicity, and function operations.

Explores automorphism groups in trees and graphs, focusing on ends and types of automorphisms.

Covers the concept of affine transformations in functions, including shifting and compressing functions.

Explores convergence criteria, function properties, and unique element association.