Concept

Division (mathematics)

Related lectures (31)

Division: Properties and Quotient

Explores the properties of division in natural numbers and its relation to multiplication.

Geometry: Euclidean Elements & Vitruvius

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Properties of Division

Covers the properties of division in integers and the relationship between divisibility and unique quotients.

Decimal Expansion: Division and Periodicity

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

Algebraic Operations

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

Decimal Writing: Fractions and Division

Explains the conversion between decimal and fractional writing, including division with remainder and a trick for periodic numbers.

Element by element operations

Covers element by element operations in MATLAB and Octave for beginners.

Complex Numbers: Operations and Applications

Covers the properties and operations of complex numbers and their applications.

Natural Numbers: Properties and Operations

Explores natural numbers, their properties, operations, and practical applications like calculating hours in a year.

Polynomials, Division, and Ideals

Explores polynomials, their operations, and the concept of ideals in polynomial rings.

Algorithms for Big Numbers: Z_n and Orders

Covers algorithms for big numbers, Z_n, and orders in a group, explaining arithmetic operations and cryptographic concepts.

Number Theory: Division

Explores the concept of division in number theory, including properties, algorithms, and examples.

Complex Numbers: Operations and Representations

Explores complex numbers, their operations, and representations in Cartesian and polar forms.

Element-Wise Operations

Covers element-wise operations in MATLAB and Octave using matrices and vectors.

Rational Numbers: Construction and Properties

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

Division in Rational Numbers

Explores division in rational numbers and the extension of addition from integers.

Multiplication in Rational Numbers

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

Properties of Rational Multiplication

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

Division and Multiplication in Rational Numbers

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

Euclidean Algorithm

Explains the Euclidean algorithm for polynomials over a field K, illustrating its application with examples.