21. Weierstrass, Karl weierstrass, karl (18151897). weierstrass attend the University of Bonn to learnpublic administration, but he found that his passion was for mathematics. http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib

Weierstrass, Karl (18151897) Weierstrass attend the University of Bonn to learn public administration, but he found that his passion was for mathematics. He read Laplace Legendre Jacobi , and Abel. He taught for 14 years at the secondary school level before he published 2 brilliant papers and received an offer to teach at the university level. He became a professor of mathematics at the University of Berlin. In his work to put mathematical analysis on a sound logical foundation, Weierstrass developed the modern definitions of limit (delta-epsilon) and continuity. In his Berlin lectures in the 1860s, he also proved several theorems for continuous and complex functions. In the first half of the nineteenth century, most mathematicians believed and many texts “proved” that continuous functions were differentiable Their idea of function was limited to functions defined by algebraic formulas. Weierstrass found counter-examples and opened a whole new thinking about properties of functions. The standards of rigor that he set greatly affected the future of mathematics. Because of severe illness, Weierstrass had an advanced student write on the chalkboard while he lectured.

22. Weierstrass, Karl (1815-1897) -- From Eric Weisstein's World Of Scientific Biogr Mathematicians. Nationality. German. Gender or Minority Status. Teachers. weierstrass, karl (18151897) German mathematician who is considered the father of modern analysis. His father enrolled http://www.treasure-troves.com/bios/Weierstrass.html

Branch of Science Mathematicians Nationality German ... Teachers Weierstrass, Karl (1815-1897) German mathematician who is considered the father of modern analysis Abelian functions which took the mathematical community by storm and earned him a professorship. Work by Weierstrass and Riemann put the finishing touches on Abelian function theory. His work added rigor to many problems in mathematics. He developed the definition of the limit developed the technique of analytic continuation and studied uniform convergence (which was also independently discovered by Cauchy Stokes , and Seidel ). Weierstrass also discovered a continuous curve which has no tangent at any point which was attacked by Kronecker factorials and Abel's theorem Weierstrass suffered from a nervous breakdown in 1859, and was plagued by dizzy spells for the rest of his life. When traveling, he kept his unfinished papers and working notes in a large white wooden box. The box was lost while Weierstraß was on a trip in 1880 and never rediscovered. He is quoted as saying, "It is true that a mathematician who is not also something of a poet will never be a perfect mathematician." Additional biographies: MacTutor (St. Andrews)

23. Weierstrass Biography of karl weierstrass (18151897) karl weierstrass's father, Wilhelm weierstrass, was secretary to the mayor of Ostenfelde at the time of karl's one of the reasons that karl weierstrass's early career was in posts http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Weierstrass.html

Karl Theodor Wilhelm Weierstrass Born: 31 Oct 1815 in Ostenfelde, Westphalia (now Germany) Died: 19 Feb 1897 in Berlin, Germany Click the picture above to see six larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index 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 Gymnasium despite having to take on a part-time job as a bookkeeper to help out the family finances.

24. Weierstrass, Karl (1815-1897) -- From Eric Weisstein's World Of Scientific Biogr weierstrass, karl (18151897), German mathematician who is consideredthe father of modern analysis. His father enrolled him in law http://scienceworld.wolfram.com/biography/Weierstrass.html

Branch of Science Mathematicians Nationality German ... Teachers Weierstrass, Karl (1815-1897) German mathematician who is considered the father of modern analysis Abelian functions which took the mathematical community by storm and earned him a professorship. Work by Weierstrass and Riemann put the finishing touches on Abelian function theory. His work added rigor to many problems in mathematics. He developed the definition of the limit developed the technique of analytic continuation and studied uniform convergence (which was also independently discovered by Cauchy Stokes , and Seidel ). Weierstrass also discovered a continuous curve which has no tangent at any point which was attacked by Kronecker factorials and Abel's theorem Weierstrass suffered from a nervous breakdown in 1859, and was plagued by dizzy spells for the rest of his life. When traveling, he kept his unfinished papers and working notes in a large white wooden box. The box was lost while Weierstraß was on a trip in 1880 and never rediscovered. He is quoted as saying, "It is true that a mathematician who is not also something of a poet will never be a perfect mathematician." Additional biographies: MacTutor (St. Andrews)

25. Karl Weierstrass --  Encyclopædia Britannica article. karl weierstrass. born October 31, 1815, Ostenfelde, Bavaria Germany MLA style " karl weierstrass." Encyclopædia Britannica. 2004. Encyclopædia Britannica Premium Service http://www.britannica.com/eb/article?eu=78459

26. Weierstrass, Karl --  Britannica Student Encyclopedia weierstrass, karl Britannica Student Encyclopedia. To cite this page MLAstyle weierstrass, karl. Britannica Student Encyclopedia. 2004. http://www.britannica.com/ebi/article?eu=338862&query=niels henrik abel&ct=ebi

27. Weierstrass, Karl Theodor Wilhelm weierstrass, karl Theodor Wilhelm (18151897). German mathematicianwho deepened and broadened the understanding of functions. He http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/W/Weierstrass/1.

Weierstrass, Karl Theodor Wilhelm German mathematician who deepened and broadened the understanding of functions. He demonstrated in 1871 that there exist continuous functions in an interval which have derivatives nowhere in the interval. Weierstrass was born in Ostenfelde, Westphalia, and trained as a teacher. From 1856 he was professor at the Royal Polytechnic School in Berlin as well as the university. Weierstrasse's breakthrough came with a paper 1854 that solved the inversion of hyperelliptic integrals. He did much to clarify basic concepts such as 'function', 'derivative', and 'maximum'. His development of the modern theory of functions was described in his Abhandlungen aus der Funktionlehre 1886, a text derived chiefly from his students' lecture notes. In the 1890s Weierstrass planned the publication of his life's work, again to be compiled from lecture notes. Two volumes were published before his death and five more appeared during the next three decades.

28. Weierstrass, Karl Wilhelm Theodor kärl vil'helm tA'OdOr vI'urshträs Pronunciation Key. weierstrass, karl Wilhelm Theodor , 181597 karl Wilhelm Theodor weierstrass. weierstrass, karl Theodor Wilhelm (18151897) http://www.infoplease.com/ce5/CE055252.html

HOTWORDS CITE PRINT EMAIL in All Infoplease Almanacs Biographies Dictionary Encyclopedia Home Almanacs Atlas Dictionary ... D-Day Infoplease Tools Periodic Table Conversion Tool Perpetual Calendar Year by Year ... Site Map Also from Infoplease Search Infoplease Info search tips Search Biographies Bio search tips Encyclopedia Weierstrass, Karl Wilhelm Theodor A O d O r v I u Pronunciation Key Weierstrass, Karl Wilhelm Theodor , German mathematician. From 1864 he was professor of mathematics at the Univ. of Berlin. His development of the modern theory of functions is described in his Abhandlungen aus der Funktionenlehre (1886), which was compiled largely from the lecture notes of his students. He was one of those chiefly responsible for the modern, rigorous approach to analysis and number theory , and he did much to clarify the foundations of these subjects. He demonstrated (1871) a function that is continuous throughout an interval but that possesses no derivative anywhere in the interval. The Columbia Electronic Encyclopedia, Weidman, Charles weigela Related content from HighBeam Research on: Karl Wilhelm Theodor Weierstrass Weierstrass, Karl Theodor Wilhelm (1815-1897)

29. MSN Encarta - Weierstrass, Karl Theodor Wilhelm Already a subscriber? Sign in above. weierstrass, karl Theodor Wilhelm. Find moreabout weierstrass, karl Theodor Wilhelm from, Other Features from Encarta. http://encarta.msn.com/encyclopedia_761562203/Weierstrass_Karl_Theodor_Wilhelm.h

MSN Home My MSN Hotmail Shopping ... Money Web Search: logoImg('http://sc.msn.com'); Encarta Subscriber Sign In Help Home ... Upgrade to Encarta Premium Search Encarta Subscription Article MSN Encarta Premium: Get this article, plus 60,000 other articles, an interactive atlas, dictionaries, thesaurus, articles from 100 leading magazines, homework tools, daily math help and more for $4.95/month or $29.95/year (plus applicable taxes.) Learn more. This article is exclusively available for MSN Encarta Premium Subscribers. Already a subscriber? Sign in above. Weierstrass, Karl Theodor Wilhelm Weierstrass, Karl Theodor Wilhelm (1815-97), German mathematician, who helped to found the modern theory of functions (see Function). Born in Ostenfelde,... Selected Web Links Karl Theodor Wilhelm Weierstrass [MacTutor] 1 item Want more Encarta? Become a subscriber today and gain access to: Daily Math Help Literature Guides Researcher Tools Paper-Writing Guides 60,000 + articles Interactive Atlas Magazine Center Find more about Weierstrass, Karl Theodor Wilhelm from Other Features from Encarta Search Encarta for Weierstrass, Karl Theodor Wilhelm

30. Weierstrass, Karl Wilhelm Theodor kärl vil'helm tA'OdOr vI'urshträs Pronunciation Key. weierstrass, karl Wilhelm Theodor , 181597 karl Wilhelm Theodor weierstrass. weierstrass, karl Theodor Wilhelm (18151897) http://www.infoplease.com/cgi-bin/id/A0851764.hmtl

HOTWORDS CITE PRINT EMAIL in All Infoplease Almanacs Biographies Dictionary Encyclopedia Home Almanacs Atlas Dictionary ... D-Day Infoplease Tools Periodic Table Conversion Tool Perpetual Calendar Year by Year ... Site Map Also from Infoplease Search Infoplease Info search tips Search Biographies Bio search tips Encyclopedia Weierstrass, Karl Wilhelm Theodor A O d O r v I u Pronunciation Key Weierstrass, Karl Wilhelm Theodor , German mathematician. From 1864 he was professor of mathematics at the Univ. of Berlin. His development of the modern theory of functions is described in his Abhandlungen aus der Funktionenlehre (1886), which was compiled largely from the lecture notes of his students. He was one of those chiefly responsible for the modern, rigorous approach to analysis and number theory , and he did much to clarify the foundations of these subjects. He demonstrated (1871) a function that is continuous throughout an interval but that possesses no derivative anywhere in the interval. The Columbia Electronic Encyclopedia, Weidman, Charles weigela Related content from HighBeam Research on: Karl Wilhelm Theodor Weierstrass Weierstrass, Karl Theodor Wilhelm (1815-1897)

31. Weierstrass, Karl Theodor Wilhelm weierstrass, karl Theodor Wilhelm. ?. http://episte.math.ntu.edu.tw/people/p_weierstrass/

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32. Escolar.com - Biografia De Weierstrass, Karl Translate this page weierstrass, karl. (Ostenfelde, actual Alemania, 1815-Berlín, 1897)Matemático alemán. Hijo de un oficial a las órdenes de Napoleón http://www.escolar.com/biografias/w/weierstrass.htm

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33. Weierstrass, Karl Wilhelm Theodor. The Columbia Encyclopedia, Sixth Edition. 200 weierstrass, karl Wilhelm Theodor. The Columbia Encyclopedia, SixthEdition. 2001. 2001. weierstrass, karl Wilhelm Theodor. (kärl http://www.bartleby.com/65/we/Weierstr.html

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34. Weierstrass, Karl Theodor Wilhelm. The American Heritage® Dictionary Of The Eng weierstrass, karl Theodor Wilhelm. The American Heritage® Dictionary of the EnglishLanguage Fourth Edition. 2000. 2000. weierstrass, karl Theodor Wilhelm. http://www.bartleby.com/61/12/W0081250.html

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35. Weierstrass, Karl Wilhelm Theodor weierstrass, karl Wilhelm Theodor, kärl vil helm tA OdOr vI urshträs PronunciationKey. weierstrass, karl Wilhelm Theodor , 1815–97, German mathematician. http://www.infoplease.com/ce6/people/A0851764.html

HOTWORDS CITE PRINT EMAIL in All Infoplease Almanacs Biographies Dictionary Encyclopedia Home Almanacs Atlas Dictionary ... D-Day Infoplease Tools Periodic Table Conversion Tool Perpetual Calendar Year by Year ... Site Map Also from Infoplease Search Infoplease Info search tips Search Biographies Bio search tips Encyclopedia Weierstrass, Karl Wilhelm Theodor A O d O r v I u Pronunciation Key Weierstrass, Karl Wilhelm Theodor , German mathematician. From 1864 he was professor of mathematics at the Univ. of Berlin. His development of the modern theory of functions is described in his Abhandlungen aus der Funktionenlehre (1886), which was compiled largely from the lecture notes of his students. He was one of those chiefly responsible for the modern, rigorous approach to analysis and number theory , and he did much to clarify the foundations of these subjects. He demonstrated (1871) a function that is continuous throughout an interval but that possesses no derivative anywhere in the interval. The Columbia Electronic Encyclopedia, Weidman, Charles weigela Related content from HighBeam Research on: Karl Wilhelm Theodor Weierstrass Weierstrass, Karl Theodor Wilhelm (1815-1897)

36. Weierstrass Translate this page weierstrass, karl Theodor Wilhell. 1815-1897. karl weierstrass más conocido porsu construcción de la teoría de las funciones complejas por medio de series. http://www.sectormatematica.cl/biografias/weierstrass.htm

Weierstrass, Karl Theodor Wilhell Karl Weierstrass más conocido por su construcción de la teoría de las funciones complejas por medio de series. Después que Weierstrass había ocupado varias posiciones de enseñanza menor, llegó a ser reconocido después que publicó una gran cantidad de escritos de las funciones abellacas en el periódico CRELLE. En 1856 obtuvo apoyo de Kummer y fue aceptado en la Universidad de Berlín. Sus prósperas conferencias en matemáticas atraían a los estudiantes de todo el mundo. Los tópicos de sus conferencias incluían : física matemática (1856/57); introducción de la teoría de funciones analíticas ( donde los resultados obtenidos en el año 1841 no fueron jamás publicados), la teoría de las funciones elípticas, y aplicaciones a problemas en geometría y mecánica. En las conferencias de 1859/60 Weierstrass presentó “Introducción al Análisis”. En su curso “Teoría general de las funciones analíticas”, el año 1863/64 Weierstrass comenzó a formular su teoría de los números reales. En sus conferencias el año 1863 Weierstrass probó que los números complejos son sólo conmutativos en su extensión algebraica de los números reales. Gauss había prometido una prueba de esto en el año 1831 pero falló al dar esto.

37. Berühmte Mathematik: Mathematiker > Weierstraß karl weierstrass wurde am 31. Oktober 1815 in Ostenfelde http://finanz.math.tu-graz.ac.at/~predota/history/mathematiker/weierstrass.html

Bitte schalten Sie JavaScript ein und laden Sie das Dokument neu ('reload')! Jacobi Jacobi Abel Jacobi ... Berlin , wo er bis zu seinem Tode auch blieb und wo er von 1873 bis 1874 auch Rektor war. Allesamt unverheiratet, lebte er in Berlin mit seinen beiden Schwerstern zusammen. Berlin In der Funktionentheorie wandte er sich von der Cauchy Cantor , Mittag-Leffler, H. A. Schwarz, Frobenius, Fuchs und Klein Berlin

38. Weierstrass, Karl - Çok Yaþasýn Sayýlar Ýpuçlarý weierstrass, karl çok yasasin sayilar daki adlar dizini için ipuçlari. çysadi. Newton, Sir Isaac Shakespeare, William weierstrass, karl. http://www.penceredergisi.com/cys/cys.asp?cysID=15

39. Weierstrass, Karl (Theodor Wilhelm) weierstrass, karl (Theodor Wilhelm). (b. Oct. 31, 1815, Ostenfelde,Bavaria Germanyd. Feb. 19, 1897, Berlin), German mathematician http://www.phy.bg.ac.yu/web_projects/giants/weiers~1.htm

Britannica CD Index Articles Dictionary Help Weierstrass, Karl (Theodor Wilhelm) (b. Oct. 31, 1815, Ostenfelde, Bavaria [Germany]d. Feb. 19, 1897, Berlin), German mathematician, one of the founders of the modern theory of functions. In 1841 Weierstrass obtained his teacher's certificate and began a 14-year career as a teacher of mathematics at the Pro-Gymnasium in Deutsche Krone (1842-48) and at the Collegium Hoseanum in Braunsberg (1848-56). During this time of isolation from other mathematicianshis salary was so small that he could not even correspond with his fellowsWeierstrass 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.

40. Login Translate this page Biografia, cronologia y principales obras de este arquitecto http://canalsocial.net/biografia/biografiacontenido.asp?nom=WEIERSTRASS, KARL

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