Lectures related to Relations, Sequences and Summations

Explores the concept of limits of sequences and their convergence towards infinity or negative infinity.

Explains convergence, limits, bounded sequences, and the Bolzano-Weierstrass theorem in real numbers.

Covers the properties of real numbers, focusing on the total order and completeness, including the Archimedean property and the concepts of supremum and infimum.

Advanced Analysis I: Monotone Bounded Sequences

Covers the concept of monotone and bounded sequences, discussing their convergence and majorants.

Functional Analysis I: November 18, 2021

Covers partially ordered sets, maximal elements, upper bounds, and the Zorn lemma in functional analysis.

Analyzing Number Sequences

Explores various number sequences, limits, and properties of arithmetic, geometric, and harmonic sequences.

Distributions & Interpolation Spaces

Covers distributions, interpolation spaces, convergence, and the concept of dual spaces.