Concept
Field of sets
Related lectures (105)
Combinatorial Search Example
Covers sets in Scala, N-Queens problem, and recursive algorithms.
Recursively Defined Sets and Structures
Explores recursively defined sets, natural numbers, strings, functions, string concatenation, and well-formed formulae.
Sets and Closure
Covers open and closed sets, adhesion, and convergence in sets.
Nonlinear Dynamics: Chaos and Complex Systems
Explores countable and uncountable sets, Cantor set, Mandelbrot set, and Box dimension in nonlinear dynamics and complex systems.
Sets: Equality, Subsets, and Relations
Covers set equality, subsets, proper subsets, and Venn diagrams.
Sets and Relations: Understanding Subsets and Equality
Covers set equality, subsets, proper subsets, and techniques for showing equality of sets.
From embedded to general manifolds: Why?MOOC: Introduction to optimization on smooth manifolds: first order methods
Explores upgrading foundations from embedded to general manifolds in optimization, discussing smooth sets and tangent vectors.
Measure Theory: Sets and Algebras
Covers measurability, independence of sets, sigma-algebras, cylinder sets, co-algebras, uniqueness, and extension of measures.
Action: Totally Discontinuous
Explores totally discontinuous group actions on sets and their mathematical implications.
Advanced Mathematical Analysis
Covers advanced topics in mathematical analysis, including cubes, electrical operators, LP spaces, and compact operators.