Gaussian rational

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Related lectures (31)

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Division and Multiplication in Rational Numbers

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

Rational Numbers Construction

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

Norms and Valuations on Fields

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

Q is a Field

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

Decimal Expansion: Division and Periodicity

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

Complex Numbers: Introduction and Operations

Introduces complex numbers and their forms, including Cartesian, polar, and exponential forms, and explains how to find the argument of a complex number.

Organization, Numbers: Real Numbers and Equations

Introduces real numbers, including equations like x²=2 with no rational solutions.

Construction of Real Numbers

Discusses the construction and uniqueness of real numbers from rational numbers.

Complex Numbers: Algebraic Structures and Applications

Covers algebraic structures, real numbers, fields, and the applications of complex numbers in science and engineering.

More Results on Inf/Sup, Density of Q in R

Covers inf/sup, integral part of real numbers, and density of rational numbers.