Kompleksarvudele
Kompleksarvudele is the Estonian term describing the study of complex numbers and their properties. It encompasses both the algebraic manipulation of numbers of the form a + bi, where a and b are real and i^2 = -1, and the geometric interpretation of these numbers on the complex plane. The field integrates arithmetic, geometry, and analysis to describe and solve problems that involve real and imaginary components.
Historically, complex numbers arose during attempts to solve polynomial equations in the early modern period. The
Core concepts include the modulus |z| = sqrt(a^2 + b^2) and the argument arg(z) (the angle with the
Applications span signal processing, quantum mechanics, control theory, and computer graphics. Complex analysis, a central subfield,
See also: complex plane, imaginary unit, Euler's formula, complex analysis.