By age 12, Gauss was questioning the axioms of Euclid. By age 19 Gauss had proven that the regular n-gon was constructible if and only if n is the product of different odd prime Fermat numbers and a power of two. When he was 24, Gauss published ''Disquisitiones Arithmeticae'', considered perhaps the greatest book of pure mathematics ever.<ref>http://freepages.genealogy.rootsweb.com/~jamesdow/Tech/mathmen.htm#Gauss</ref> He improved the understanding of complex numbers.
Gauss was the the first mathematician to prove the [[Fundamental Theorem of Algebra]] and the [[Fundamental Theorem of Arithmetic]]. Gauss also collaborated with physicist [[Wilhelm Weber]]
tho help discover magnetism and define it in terms of mass, length and time. Gauss influenced a Russian mathematician named [[ Nikolai I. Lobachevsky|Nikolai I. Lobachevsky]] (1792-1856). Lobachevsky invented non-Euclidean geometry and used some of Gauss's ideas to develop it.
The ''gauss,'' a unit of magnetic flux density, is named in his honor. It is not a formal part of the SI (metric system), although it is still widely used. The proper SI unit is the ''tesla.'' One tesla = 10<sup>4</sup> gauss.
After his death his brain was preserved and studied by a German physiologist and anatomist named Rudolf Wagner to see if a neurological explanation for Gauss's genius could be found. He found that Gauss's brain weighed 1,492 grams and that the cerebral area of Gauss's brain was 219,588 square centimeters. He also found that there were abnormal highly developed convolutions in his brain.
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