Beginning of Essay
was a German mathematician and scientist who dominated the mathematical community during and after his lifetime. His outstanding work includes the discovery of the method of least squares, the discovery of non-Euclidean geometry, and important contributions to th ....

Middle of Essay
.... of real linear and/or real quadratic factors. At the age of 24, he published Disquisitiones arithmeticae, in which he formulated systematic and widely influential concepts and methods of number theory -- dealing with the relationships and properties of integers. This book set the pattern for many future research and won Gauss major recognition among mathematicians. Using number theory, Gauss proposed an algebraic solution to the geometric problem of creating a polygon of n sides. Gauss proved the possibility by constructing a regular 17 sided polygon into a circle using only a straight edge and compass. Barely 30 years old, already having made lan ....