Real Numbers: Order and Completeness

Related lectures (32)

Page 2 of 4

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

Covers minimum, maximum, infimum, and supremum concepts in real numbers with examples and proofs.

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.

Introduces the axiomatic structure of real numbers and their properties, including completeness and the Archimedean property.

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

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

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

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

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