Real Numbers: Axioms and Bounds

Related lectures (30)

Page 3 of 3

Covers the concept of supremum in real numbers and its properties as the least upper bound of a set.

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

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

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

Introduces real numbers, including equations like x²=2 with no rational solutions.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

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

Explains the concept of infimum in real numbers and its properties.

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

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