Intervals: Real Numbers

Related lectures (31)

Page 3 of 4

Covers the terminology and definitions of functions of class Ck on real number intervals.

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

Discusses the theorems on convex functions and provides examples for better understanding.

Explores Dedekind cuts in rational numbers, essential for constructing real numbers.

Explores interior points, closures, and set properties in real analysis.

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

Explores the properties and applications of roots of real numbers through practical examples.

Explores the concept of real numbers through decimal notation and fraction representation.

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

Explains the definitions and properties of maximum, minimum, supremum, and infimum in real numbers.