Karl Weierstraß

German mathematician (1815–1897)

The University of Königsberg conferred an honorary doctorate on Karl Weierstraß in 1856, marking a significant transition for a man who spent his early career teaching mathematics, physics, and gymnastics in secondary schools. Born in 1815 in the village of Ostenfelde, he eventually moved to Berlin to occupy chairs at the Gewerbeinstitut and the Friedrich-Wilhelms-Universität.

Early Education and Career

Weierstraß attended the Gymnasium Theodorianum in Paderborn before enrolling at the University of Bonn in 1834. His studies were intended to prepare him for a government position, requiring him to focus on law, economics, and finance. He pursued mathematics privately instead, which resulted in his departure without a degree. He subsequently studied at the University of Münster, where he gained teacher certification. Between 1842 and 1848, he worked at a middle school in Wałcz, followed by a tenure at the Collegium Hosianum from 1848 to 1856.

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Foundations of Mathematical Analysis

Weierstraß focused on the rigorous foundations of calculus, addressing the ambiguity surrounding limits and continuity. He formalized the concept of uniform convergence and developed the delta-epsilon definition of continuity. His work included proofs for the intermediate value theorem and the Bolzano–Weierstrass theorem. By applying these concepts to complex analysis and elliptic functions, he established a framework for modern mathematical analysis.

Academic Influence and Later Life

In 1856, Weierstraß joined the Gewerbeinstitut Berlin, moving to the Friedrich-Wilhelms-Universität Berlin in 1864, where he remained until 1890. During this period, he tutored Sofia Kovalevskaya, whom he mentored for four years and assisted in obtaining a doctorate from Heidelberg University. Weierstraß received various honors, including the Copley Medal in 1895 and the Helmholtz Medal in 1892. He spent his final three years immobile and died of pneumonia in Berlin on 19 February 1897.

Fast facts

Questions readers ask

Did Karl Weierstraß graduate from the University of Bonn?

No, he left the University of Bonn without a degree because he prioritized private study of mathematics over the law and economics curriculum intended for his government training.

What subjects did Weierstraß teach before his university professorship?

He taught mathematics, physics, botany, and gymnastics while working at secondary schools in Wałcz and Braunsberg.

Achievements

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