Karl Weierstrass

Karl Weierstrass
Karl Weierstraß
Born	(1815-10-31)31 October 1815 Ennigerloh, Kingdom of Prussia
Died	19 February 1897(1897-02-19) (aged 81) Berlin, Prussia, German Empire
Nationality	German
Alma mater	University of Bonn Münster Academy
Known for	Weierstrass function Weierstrass product inequality (ε, δ)-definition of limit Weierstrass–Erdmann condition Weierstrass theorems Bolzano–Weierstrass theorem
Awards	PhD (Hon): University of Königsberg (1854) Copley Medal (1895)
Scientific career
Fields	Mathematics
Institutions	Gewerbeinstitut, Friedrich Wilhelm University
Academic advisors	Christoph Gudermann
Doctoral students	Nikolai Bugaev Georg Cantor Georg Frobenius Lazarus Fuchs Wilhelm Killing Johannes Knoblauch Leo Königsberger Ernst Kötter Sofia Kovalevskaya Mathias Lerch Hans von Mangoldt Eugen Netto Adolf Piltz Carl Runge Arthur Schoenflies Friedrich Schottky Hermann Schwarz Ludwig Stickelberger

Karl Theodor Wilhelm Weierstrass (German: Weierstraß [ˈvaɪɐʃtʁaːs];^[1] 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father of modern analysis". Despite leaving university without a degree, he studied mathematics and trained as a school teacher, eventually teaching mathematics, physics, botany and gymnastics.^[2] He later received an honorary doctorate and became professor of mathematics in Berlin.

Among many other contributions, Weierstrass formalized the definition of the continuity of a function and complex analysis, proved the intermediate value theorem and the Bolzano–Weierstrass theorem, and used the latter to study the properties of continuous functions on closed bounded intervals.