Data Abstraction: Rational Numbers

Related lectures (31)

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Explains the properties of addition and multiplication in Q with illustrative examples.

Explores the construction of rational numbers, irreducible fractions, equivalence, and simplification rules.

Delves into decimal expansion of rational numbers through Euclidean division, emphasizing periodicity and illustrative examples.

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

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

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

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

Delves into infinite decimal numbers, exploring convergence and divergence, and showcasing examples of rational and irrational numbers.

Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.

Covers the definition and operations involving rational numbers.