Properties of Real Numbers: Bounds, Density, Absolute Value

Related lectures (31)

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

Covers the existence of real numbers and equivalence classes of Cauchy sequences.

Explores the conditions for continuity of a function on real numbers.

Covers the concepts of contraposition and contradiction in proofs.

Illustrates the calculation of infimum and supremum for a set of elements.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Covers absolute value, density of rationals, and real line topology.

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

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

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

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

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