Lecture

Decimal Development

Related lectures (30)

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

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

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

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

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

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

Covers the properties of real numbers, including bounds, density, and absolute value.

Explores division and multiplication in rational numbers, emphasizing the concept of multiplying by the inverse.

Explains decimal and periodic numbers, illustrating with examples and discussing rational numbers.

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

Covers the addition of fractions and properties of rational numbers, emphasizing associativity and summing fractions with the same denominator.

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

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

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

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.

Explains the conversion process from fractions to decimal numbers and vice versa.

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

Covers the properties of rational multiplication through fractions and simple calculations, leading to the resolution of division problems.

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