In 1832 Gauss proposed Complex Numbers of the form (a + ib) where a and b are Real Numbers and i = √-1 is an Imaginary Number. The modern development of Complex Numbers began with the discovery of a geometric interpretation for them. Complex Numbers in general require two dimensions. Each Complex Number is a vector quantity corresponding to a point in an imaginary plane from the origin. These two-dimensional graphs of Complex Numbers were introduced independently about 1800 by Caspar Wessel of Norway and Jean Argand of France. Complex Numbers are useful not only in pure mathematics (theory of equations and function theory) but also throughout the physical sciences. [

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