Infimum and Supremum: Understanding Bounded Sets

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

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

Introduces real number sequences, limits, and their properties.

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

Covers the basics of real analysis, including functions, limits, and max/min functions.

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

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

Explores the intersection of sets, defining it and discussing its properties.

Explores even squares, irrationality of √2, gaps in rational numbers, and minorants in Q.

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