Properties of Real Numbers

Related lectures (32)

Explores open sets and interior points in real numbers, with examples and criteria for identification.

Introduces real number sequences, limits, and their properties.

Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.

Explores inequalities on real numbers, including real intervals and comparison properties.

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

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

Explores real numbers' properties, bounds, limits, and density in the number line.

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

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

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

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

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

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