Real Functions: Definitions and Theorems

Related lectures (30)

Page 3 of 3

Discusses optimization techniques, focusing on local and global extrema in functions.

Covers the Hadamard factorisation theorem for entire functions of order at most 1.

Explores functions, series, and critical points in mathematics, including maximum, minimum, supremum, and infimum concepts.

Explores limits, minimum and maximum values of functions, and continuity criteria in a compact set.

Covers the concepts of infimum and supremum of subsets in real numbers.

Explores the demonstration of a theorem on compact functions and non-regular boundaries.

Covers the definitions and basic results of endomorphisms and automorphisms of totally disconnected locally compact groups.

Explains compact sets, convergence, and absolute convergence in real analysis.

Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.

Explores continuity and limits of real functions, including examples and the concept of uniform continuity.