Karl Weierstrass

Karl Weierstrass
Karl Weierstrass
Karl Weierstraß
Born	31 October 1815; Ennigerloh, Province of Westphalia, Kingdom of Prussia
Died	19 February 1897 (aged 81); Berlin, Kingdom of Prussia, German Empire
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; Edmund Husserl; 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 (/ˈvaɪərˌstrɑːs, -ˌʃtrɑːs/;^[1] German: Weierstraß [ˈvaɪɐʃtʁaːs];^[2] 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father of modern analysis".^[3] Despite leaving university without a degree, he studied mathematics and trained as a school teacher, eventually teaching mathematics, physics, botany and gymnastics.^[4] 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.

^ "Weierstrass". Random House Webster's Unabridged Dictionary.
^ Duden. Das Aussprachewörterbuch. 7. Auflage. Bibliographisches Institut, Berlin 2015, ISBN 978-3-411-04067-4
^ "Karl Weierstrass | German Mathematician, Father of Modern Analysis". Encyclopædia Britannica.
^ Weierstrass, Karl Theodor Wilhelm. (2018). In Helicon (Ed.), The Hutchinson unabridged encyclopedia with atlas and weather guide. [Online]. Abington: Helicon. Available from: http://libezproxy.open.ac.uk/login?url= Link Accessed 8 July 2018.

[1] "Weierstrass". Random House Webster's Unabridged Dictionary.

[2] Duden. Das Aussprachewörterbuch. 7. Auflage. Bibliographisches Institut, Berlin 2015, ISBN 978-3-411-04067-4

[3] "Karl Weierstrass | German Mathematician, Father of Modern Analysis". Encyclopædia Britannica.

[4] Weierstrass, Karl Theodor Wilhelm. (2018). In Helicon (Ed.), The Hutchinson unabridged encyclopedia with atlas and weather guide. [Online]. Abington: Helicon. Available from: http://libezproxy.open.ac.uk/login?url= Link Accessed 8 July 2018.

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