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Concept

Rational number

Related lectures (30)

Covers data abstraction in rational numbers, including client's view, self-reference, preconditions, assertions, constructors, and end markers.

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

Covers strings, countable sets, cardinality, and the concept of countability, exploring the countability of various sets and Cantor diagonalization.

Covers the basic concepts of rational numbers and algebraic operations, including addition, subtraction, multiplication, and division.

Explores even squares, irrationality of √2, gaps in rational numbers, and minorants in Q.

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

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

Explores the intersection of sets, defining it and discussing its properties.

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

Covers the definition and operations involving rational numbers.

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

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

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

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

Covers the extension of addition and multiplication operations in rational numbers.

Covers the construction and properties of rational numbers, including fractions and equivalence, with proofs on commutativity.

Covers the properties of rational numbers and introduces the concept of an ordered field in Q.

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

Covers a recap on mathematical notations and introduces rational numbers and basic algebraic operations.

Covers the implementation of the Simplex algorithm and its methods.