Carl Friedrich Gauss Submitted by Monique de Villa Algebra 2 – Period 3 May 22, 2009
Biography • Born to an uneducated, lower-class family • Learned to read on his own • Had a desire for knowledge at a young age • Added all the numbers from 1 to 100 at 8 years old • Grew up to be conservative and religious • Submerged into deep state of depression when first wife died
Biography (continued) • Never fully recovered from depression • Second wife passed away • Gauss’ daughter looked after him until his death on February 23, 1855 • Disliked to teach and did not teach mathematics as a professor • However some students became influential mathematicians • Hardly ever worked in a partnership with other mathematicians • 1989-2001: portrait and normal distribution curve was featured on the German ten-mark banknote
Education • Learned how to read and write before going to school • Teacher, Buttner, and assistant teacher, Bartels, took personal interest in Gauss • Buttner helped him get into secondary school • Was introduced to Duke of Brunswick-Wolfenbuttel, who financed his education • Gauss earned a Doctorate in Mathematics from University of Helmstedt in 1799
+1 if ºq(mod p) is solvable in whole numbers -1 if otherwise Influences/Mathematical Discoveries • Disquistiones Arithmeticae was on number theory • Some equations… ax + k c ap–1 1 (mod p) (a + b + c + …)p ap + bp + cp + … (mod p).
http://psy.ucsd.edu/ Contribution • Gaussian Curve • Also known as the Gaussian distribution,“bell curve”, or “normal curve” • Can be proved by the Central Limit Theorem • Each measurement is the result of a large amount of small, independent error sources • Errors have to be of same magnitude and as often positive as it is negative
Bibliography “Carl Friedrich Gauss Biography.” Biography Base. 2004. 16 May 2009. <http://www.biographybase.com/biography/Gauss_Carl_Friedrich.html> “Gauss’ Biography.” Geocities.com. 30 January 2000. 16 May 2009. <http://www.geocities.com/RainForest/Vines/2977/gauss/g_bio.html>. “Gauss Curve.” 2dCurves.com. 22 February 2004. 16 May 2009. <http://www.2dcurves. com/exponential/exponentialg.html>. Bruno, Leonard. Math & Mathematicians. Vol. 1. A-H. Detroit: Gacl, 2003. Rice, Kathryn and Paul Scott. “Carl Friedrich Scott.” Australian Association of Mathematics Teachers 61 (2005): 2-5.