Construction of Real Numbers

Related lectures (30)

Page 1 of 3

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.

Covers the concept of area, axioms, and the area of rectangles.

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

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

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

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

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

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

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