Real Numbers: Definitions and Bounds

Related lectures (31)

Page 3 of 4

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

Explains infimum, supremum, Archimedes' properties, rational numbers density, and exercises on irrational numbers and minimum values.

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

Explores the equivalence of inequalities to determine the least upper bound of a set.

Explores the global properties of continuous functions, including behavior, limits, and interval characteristics.

Explores intervals in real numbers, including open and closed intervals, periodic decimals, and irrational numbers.

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

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

Explains how to find supremum and infimum of a set with examples.

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