Weierstrass m-test

Karl weierstrass pronunciation
Weierstrass function
Weierstrass substitution

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Karl Theodor Wilhelm Weierstrass

Biography

Karl Weierstrass's father, Wilhelm Weierstrass, was secretary to the mayor of Ostenfelde at the time of Karl's birth. Wilhelm Weierstrass was a well educated man who had a broad knowledge of the arts and of the sciences. He certainly was well capable of attaining higher positions than he did, and this attitude may have been one of the reasons that Karl Weierstrass's early career was in posts well below his outstanding ability. Weierstrass's mother was Theodora Vonderforst and Karl was the eldest of Theodora and Wilhelm's four children, none of whom married.

Wilhelm Weierstrass became a tax inspector when Karl was eight years old. This job involved him in only spending short periods in any one place so Karl frequently moved from school to school as the family moved around Prussia. In 1827 Karl's mother Theodora died and one year later his father Wilhelm remarried. By 1829 Wilhelm Weierstrass had become an assistant at the main tax office in Paderborn, and Karl entered the Catholic Gymnasium there. Weierstrass excelled at the G

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Karl Weierstrass lectures

Collection — Box: 1

Identifier: MS-0350

Scope and Contents

The collection consists of one bound holographic manuscript titled "Theorie der Variationsrechnung. Vorlesung gehalten im Somersemester 1879 von Prof. Dr. C. Weierstrass." (Theory of variation accounting. Lectures given during the summer semester of 1879 by Prof. dr. C. Weierstrass.) The manuscript is written in German and is not translated. The subject of the lectures, presented at the University of Berlin, is calculus of variations. It is likely that this was a copy of the circulating manuscripts of Weierstrass lectures. The manuscript was later published in the series of Weierstrasss's Works: Rudolf Rothe ed., Vorlesungen über Variationsrechnung von Karl Weierstrass, (Leipzig: Akademische Verlaggesellschaft M.B.H., 1927). [QA3 .W4] The manuscript belonged to Thomas Craig (1855-1900). It is not clear if Thomas Craig was a student in the Weierstrass summer course. On the title page of the manuscript is the name of H. [Hugo] Maser, one of the e

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Karl Weierstrass

German mathematician (1815–1897)

Karl Theodor Wilhelm Weierstrass (;^[1] German: Weierstraß[ˈvaɪɐʃtʁaːs];^[2] 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.^[3] 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.

Biography

Weierstrass was born into a Roman Catholic family in Ostenfelde, a village near Ennigerloh, in the Province of Westphalia.^[4]

Karl Weierstrass was the son of Wilhelm Weierstrass and Theodora Vonderforst, the former of whom was a