Weierstrass, Karl

▪ German mathematicianborn October 31, 1815, Ostenfelde, Bavaria [Germany]died February 19, 1897, BerlinGerman mathematician, one of the founders of the modern theory of functions.His domineering father sent him to the University of Bonn at age 19 to study law and finance in preparation for a position in the Prussian civil service. Weierstrass pursued four years of intensive fencing and drinking and returned home with no degree. He then entered the Academy of Münster in 1839 to prepare for a career as a secondary school teacher. At Münster he came under the influence of Cristof Gudermann, professor of mathematics, who was particularly interested in the theory of elliptic functions. Gudermann cultivated Weierstrass' interest in the theory of functions with emphasis on the expansion of functions by power series.In 1841 Weierstrass obtained his teacher's certificate and began a 14year career as a teacher of mathematics at the ProGymnasium in Deutsche Krone (1842–48) and at the Collegium Hoseanum in Braunsberg (1848–56). During this time of isolation from other mathematicians—his salary was so small that he could not even correspond with his fellows—Weierstrass worked unceasingly on analysis. He conceived and in large part carried out a program known as the arithmetization of analysis, under which analysis is based on a rigorous development of the real number system. His preoccupation with rigour in mathematics is illustrated by his later development (1861) of a function that, though continuous, had no derivatives at any point. This idiosyncrasy of an apparently differentiable function caused consternation among the school of analysts who depended heavily upon intuition.Weierstrass' work on the theory of functions was guided by his desire to complete the work begun by Niels Abel of Norway and Karl Jacobi of Germany, primarily Abel's theorem that the number of independent integrals of algebraic functions is finite and Jacobi's discovery of multiple periodic functions of many variables.In 1854 Weierstrass burst from obscurity when his unexpected memoir on Abelian functions was published in Crelle's Journal. The University of Königsberg conferred upon him an honorary doctor's degree, and in 1856 a position was found for him at the Royal Polytechnic School in Berlin. Weierstrass contributed few papers to scholarly journals; his work was embodied in his lectures, which were collected in Gesammelte Abhandlungen, 8 vol. (1894–1927; “Collected Works”).Known as the father of modern analysis, Weierstrass devised tests for the convergence of series and contributed to the theory of periodic functions, functions of real variables, elliptic functions, Abelian functions, converging infinite products, and the calculus of variations. He also advanced the theory of bilinear and quadratic forms. His greatest influence was felt through his students (among them Sofya Kovalevskaya), many of whom became creative mathematicians.
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Universalium. 2010.
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Weierstrass , Karl Wilhelm Theodor — (1815–1897) German mathematician Weierstrass, who was born at Ostenfelde in Germany, spent four years at the University of Bonn studying law to please his father. After abandoning law he trained as a school teacher and spent nearly 15 years… … Scientists
Weierstrass,Karl Theodor Wilhelm — Wei·er·strass (vīʹər sträs shträs ), Karl Theodor Wilhelm. 1815 1897. German mathematician. Noted for his contributions to real and complex analysis, he was the first to construct an example of a continuous function that could not be… … Universalium
Weierstrass, Karl (Theodor Wilhelm) — born Oct. 31, 1815, Ostenfelde, Bavaria died Feb. 19, 1897, Berlin German mathematician. He taught principally at the University of Berlin (from 1856). After many years of working in isolation, an article in 1854 initiated a string of important… … Universalium
Weierstrass, Karl (Theodor Wilhelm) — (31 oct. 1815, Ostenfelde, Baviera, Alemania–19 feb. 1897, Berlín). Matemático alemán. Enseñó principalmente en la Universidad de Berlín (desde 1856). Después de muchos años de trabajar aislado, un artículo en 1854 inició una cadena de… … Enciclopedia Universal
Karl Theodor Wilhelm Weierstrass — Karl Weierstrass Karl Weierstrass Karl Theodor Wilhelm Weierstrass Naissance 31 octobre 1815 Ostenfelde (Westphalie) … Wikipédia en Français
Karl Weierstrass — Karl Theodor Wilhelm Weierstrass Naissance 31 octobre 1815 Ostenfelde en Westphalie ( … Wikipédia en Français
Weierstrass — Karl Weierstrass Karl Weierstrass Karl Theodor Wilhelm Weierstrass Naissance 31 octobre 1815 Ostenfelde (Westphalie) … Wikipédia en Français
Karl Weierstrass — Karl Weierstraß Karl Theodor Wilhelm Weierstraß Nacimiento 31 de octubre de 1815 Ostenfelde, Westphalia … Wikipedia Español
Karl Weierstrass — Karl Weierstraß Karl Theodor Wilhelm Weierstraß (* 31. Oktober 1815 in Ostenfelde bei Ennigerloh/Münsterland; † 19. Februar 1897 in Berlin) war ein deutscher Mathematiker, der sich vor allem um die logisch fundierte Aufarbeitung der Analysis… … Deutsch Wikipedia
Weierstrass — Karl Weierstraß Karl Theodor Wilhelm Weierstraß (* 31. Oktober 1815 in Ostenfelde bei Ennigerloh/Münsterland; † 19. Februar 1897 in Berlin) war ein deutscher Mathematiker, der sich vor allem um die logisch fundierte Aufarbeitung der Analysis… … Deutsch Wikipedia