Complex Algebra Math

Plot complex numbers on the complex plane.

Complex algebra math. The beauty of algebra through complex numbers fractals and euler s formula. Review the mathematics of polynomials and. The magnitude is jzj r p x2 y2. The standard form of a complex number is a bi a b i where a a and b b are real numbers and they can be anything positive negative zero integers fractions decimals it doesn t matter.

Integers rational and real numbers. When in the standard form a a is called the real part of the complex number and b b is called the imaginary part of the complex number. Review the key principles of mathematical. The magnitude or absolute value of a complex number z x iyis r p x2 y2.

It s the fundamental theorem of algebra. The study of mathematics continuously builds upon itself. Combine this with the complex exponential and you have another way to represent complex numbers. Complex numbers are built on the idea that we can define the number i called the imaginary unit to be the principal square root of 1 or a solution to the equation x 1.

Add and subtract complex numbers. Rsin rcos x r rei y z x iy rcos ir sin r cos i rei 3 6 this is the polar form of a complex number and x iyis the rectangular form of the same number. Adding subtracting multiplying dividing complex numbers complex plane absolute value angle of complex numbers polar coordinates of complex numbers.