Mathematician:Karl Theodor Wilhelm Weierstrass

1815 - 1897

German mathematician whose main work concerned the rigorous foundations of calculus.

Known as "the father of modern analysis".


 * Pioneered the $\epsilon-\delta$ definition of continuity.
 * Was able thereby to formulate proofs of the Bolzano-Weierstrass Theorem (which had been proved earlier, independently of Weierstrass, by Bernhard Bolzano), the Intermediate Value Theorem and the Heine-Borel Theorem.
 * Made significant advancements in the field of calculus of variations.

Nationality
German

History

 * Born: October 31, 1815
 * Died: February 19, 1897

Theorems and Definitions

 * Bolzano-Weierstrass Theorem
 * Weierstrass-Erdmann Corner Conditions
 * Stone-Weierstrass Theorem
 * Weierstrass-Casorati Theorem
 * Weierstrass's Elliptic Functions
 * Weierstrass Function
 * Weierstrass M-test
 * Weierstrass Preparation Theorem
 * Lindemann-Weierstrass Theorem
 * Weierstrass Factorization Theorem
 * Enneper-Weierstrass Parameterization
 * Sokhatsky-Weierstrass Theorem

Books and Papers

 * Zur Theorie der Abelschen Funktionen (1854)
 * Theorie der Abelschen Funktionen (1856)
 * Abhandlungen-1 (1894)
 * Abhandlungen-2 (1897)
 * Abhandlungen-3 (1915)
 * Vorl. ueber die Theorie der Abelschen Transcendenten (1902)
 * Vorl. ueber Variationsrechnung (1927)