Introduction to Real Numbers

Related lectures (30)

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Explores the concept of real numbers through decimal notation and fraction representation.

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

Explores real numbers, bounds, supremum, infimum, and Archimedean property with practical examples.

Explains the Bolzano-Weierstrass Theorem, stating that every bounded sequence has a convergent subsequence.

Reviews open sets, denseness, real numbers, convergence, curves, continuity, and derivatives in analysis.

Explores real number sequences, convergence, limits, boundedness, and monotonicity.

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

Explains interior points, convergence of sequences, and the dense property in real numbers.

Explores Newton's binomial theorem and real sequences with examples and definitions.

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