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rossroessler.tripod.com

History of Complex Numbers (also known as History of Imaginary Numbers or the History of i) For school, I had to do a paper on the History of i (and the history of complex numbers in general). Finding this a tedious task, and scrolling through many useless sights, I wished that there were just one sight that had everything I needed on it.

www.quora.com/Why-were-complex-numbers-invented-Were-they-invented-to-explain...

Suppose, you only accept the existence of Natural numbers like 0, 1, 2, 3 etc.. Now you can't really go any far unless you define how to combine them in various ...

mathforum.org/library/drmath/view/69513.html

History of Complex Numbers Date: 12/12/2005 at 22:01:49 From: Audrey Subject: Why, and when were imaginary numbers created and by whom? I'm doing a project on imaginary numbers and I was stuck with the why. If you could explain without getting to in depth about hypercomplex numbers etc., (I'm a sophomore) that would be great!

www.math.uri.edu/~merino/spring06/mth562/ShortHistoryComplexNumbers2006.pdf

complex numbers. Euler used the formula x + iy = r(cosθ + i sinθ), and visualized the roots of zn = 1 as vertices of a regular polygon. He defined the complex exponential, and proved the identity eiθ = cosθ +i sinθ. 12. Caspar Wessel (1745-1818), a Norwegian, was the first one to obtain and publish a suitable presentation of complex numbers.

www.math.toronto.edu/mathnet/questionCorner/complexorigin.html

Complex numbers were being used by mathematicians long before they were first properly defined, so it's difficult to trace the exact origin. The first reference that I know of (but there may be earlier ones) is by Cardan in 1545, in the course of investigating roots of polynomials.

www.math-kit.de/en/2003/content/CN-PB-XML-EN/new//Manifest31/history.html

How it all began: A short history of complex numbers. In the history of mathematics Geronimo (or Gerolamo) Cardano (1501-1576) is considered as the creator of complex numbers. In those times, scholars used to demonstrate their abilities in competitions.

en.wikipedia.org/wiki/Number

The complex numbers consist of all numbers of the form + where a and b are real numbers. Because of this, complex numbers correspond to points on the complex plane, a vector space of two real dimensions. In the expression a + bi, the real number a is called the real part and b is called the imaginary part.

www.livescience.com/42748-imaginary-numbers.html

Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity, as well as quadratic equations. In quadratic planes, imaginary numbers show up in equations ...

en.wikipedia.org/wiki/Complex_number

A complex number z can thus be identified with an ordered pair (Re(z), Im(z)) of real numbers, which in turn may be interpreted as coordinates of a point in a two-dimensional space. The most immediate space is the Euclidean plane with suitable coordinates, which is then called complex plane or Argand diagram, named after Jean-Robert Argand.Another prominent space on which the coordinates may ...

www.scienceabc.com/nature/what-are-imaginary-numbers-why-are-they-so-important...

Complex numbers are a combination of both real and imaginary numbers. A complex number Z is the sum or subtraction of a real number A and an imaginary number Bi, such that . Despite this work of genius, Bombelli’s book was frowned upon. The numbers were dubbed fictitious – or even useless – by his peers.