Fractals and Strange Attractors

Related lectures (26)

Page 2 of 3

Introduces measurable sets, functions, and the Cantor set properties, including ternary development of numbers.

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers the concept of outer measure and properties of measurable sets.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Explores the construction of the Lebesgue function on the Cantor set and its unique properties.

Covers the concept of separable L^2 spaces, demonstrating properties and providing examples.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Explores toy models, sigma-algebras, T-valued random variables, measures, and independence in probability theory.