KarlWeierstrass 2007-05-20 14:50:34 2007-05-20 15:18:52 Biography % this is the default PlanetMath preamble. as your knowledge % of TeX increases, you will probably want to edit this, but % it should be fine as is for beginners. % almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts} % used for TeXing text within eps files %\usepackage{psfrag} % need this for including graphics (\includegraphics) %\usepackage{graphicx} % for neatly defining theorems and propositions %\usepackage{amsthm} % making logically defined graphics %\usepackage{xypic} % there are many more packages, add them here as you need them % define commands here \emph{Karl Theodor Wilhelm Weierstra{\ss}} (often \emph{Karl Theodor Wilhelm Weierstrass} in English texts) (1815 - 1897) German mathematician, the father of modern analysis. Born in Ostenfelde, of a government official from Paderborn, young Karl showed an aptitude for mathematics but his father intended for him to follow in his footsteps to a career in public office. The son went to the University of Bonn to study law and economics but focused his attention on mathematics to the \PMlinkescapetext{point} of ignoring the requirements of the \PMlinkescapetext{degrees} his father intended him to obtain. Karl left Bonn for M\"unster and studied elliptic functions extensively. After being appointed chairman at an university in Berlin, Karl Weierstra{\ss} proved the fundamental calculus notion of the limit, regaining Bernard Bolzano's forgotten results in the famous \PMlinkname{Bolzano-Weierstra{\ss} theorem}{BolzanoWeierstrassTheorem}. Several other important calculus notions bear Weierstra{\ss}'s name.