What best describes a complex number?
This way, a complex number is defined as a polynomial with real coefficients in the single indeterminate i, for which the relation i2 + 1 = 0 is imposed.
Based on this definition, complex numbers can be added and multiplied, using the addition and multiplication for polynomials..
What is the explanation of a complex number?
Complex Numbers in Maths.
Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number called “iota”.
The value of i = (√-1).
For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).Jun 8, 2020.
Why are complex numbers important in physics?
Complex numbers are broadly used in physics, normally as a calculation tool that makes things easier due to Euler's formula.
In the end, it is only the real component that has physical meaning or the two parts (real and imaginary) are treated separately as real quantities..
- Complex numbers were introduced by the Italian famous gambler and mathematician Gerolamo Cardano (1501--1576) in 1545 while he found the explicit formula for all three roots of a cube equation.
Many mathematicians contributed to the full development of complex numbers. - Eventually the modern terminology emerged in 19th century: "complex numbers", meaning that they consist of two parts, real and imaginary. "Imaginary number" is used sometimes to denote a complex number which is not real, or more frequently a number whose real part is zero (a.k.a "pure imaginary").
- Why do we have imaginary numbers anyway? The answer is simple.
The imaginary unit allows us to find solutions to many equations that do not have real number solutions.
