Lectures related to Dedekind Cuts: Rational Numbers

Introduces real numbers, their properties, and their significance in analysis.

Introduces real analysis basics, including functions, sequences, limits, and set properties in R.

Covers inf/sup, integral part of real numbers, and density of rational numbers.

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

Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.

Explores real numbers, including supremum, infimum, maximum, and minimum properties.

Introduces the properties and structure of real numbers, emphasizing completeness and the Archimedean property.

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

Covers the properties of real numbers, including bounds, density, and absolute value.

Covers the structure and properties of real numbers, including the introduction to the axiomatic system and the implications of Archimedean property.

Covers the basics of real analysis, including limits, sequences, and continuous functions.

Covers the concept of total order relation and properties of real numbers.

Covers selected topics in mathematics, including Taylor approximations and algebraic structures of Z and K[X].

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Explores boundaries in sets, defining them as points not well separated from the set or its complement.

Explores the conditions for continuity of a function on real numbers.

Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.

Covers the fundamental concepts related to real numbers, including sets, notations, and operations.

Explores real numbers' properties, bounds, limits, and density in the number line.

Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.