Lectures related to Recursively Defined Sets and Structures

Explores recursively defined sets, natural numbers, strings, functions, and propositional logic formulae.

Covers examples of relation composition, Cartesian product, and injective functions.

Covers subsets, power sets, and functions through an engaging quiz format.

Explores fixed points in G-sets, applications between sets, and the construction of orbits.

Explores convexity, Jacobians, subdifferentials, and convergence rates in optimization and function analysis.

Explores the relationships between functions and sets, focusing on composite functions properties.

Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.

Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.