Gustav Conrad Bauer
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Gustav Conrad Bauer
Gustav Conrad Bauer (18 November 1820, Augsburg – 3 April 1906, Munich) was a German mathematician, known for the Bauer-Muir transformation and Bauer's conic sections. He earned a footnote in the history of science as the doctoral advisor (''Doktorvater'') of Heinrich Burkhardt, who became one of the two referees of Albert Einstein's doctoral dissertation. Education and family Gustav Bauer passed in 1837 his '' Abitur'' at Augsburg's Gymnasium bei St. Anna. He continued his studies of mathematics at the Polytechnischen Schule Augsburg and also the universities of Erlangen, Vienna and Berlin. At Humboldt University in Berlin, Bauer received in 1842 his Promotierung under Peter Gustav Lejeune Dirichlet. From 1842 Gustav Bauer continued his studies in Paris under Joseph Liouville, as well as other mathematicians. In 1862 Gustav Bauer married Amalie, daughter of the ''Archivrat'' and Professor Honorarius Nathanael von Schlichtegroll. The marriage produced two daughters and a son Gu ...
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Augsburg
Augsburg (; bar , Augschburg , links=https://en.wikipedia.org/wiki/Swabian_German , label=Swabian German, , ) is a city in Swabia, Bavaria, Germany, around west of Bavarian capital Munich. It is a university town and regional seat of the ''Regierungsbezirk'' Schwaben with an impressive Altstadt (historical city centre). Augsburg is an urban district and home to the institutions of the Landkreis Augsburg. It is the third-largest city in Bavaria (after Munich and Nuremberg) with a population of 300,000 inhabitants, with 885,000 in its metropolitan area. After Neuss, Trier, Cologne and Xanten, Augsburg is one of Germany's oldest cities, founded in 15 BC by the Romans as Augsburg#Early history, Augusta Vindelicorum, named after the Roman emperor Augustus. It was a Free Imperial City from 1276 to 1803 and the home of the patrician (post-Roman Europe), patrician Fugger and Welser families that dominated European banking in the 16th century. According to Behringer, in the sixteen ...
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Ludwig Maximilian University Of Munich
The Ludwig Maximilian University of Munich (simply University of Munich or LMU; german: Ludwig-Maximilians-Universität München) is a public research university in Munich, Germany. It is Germany's sixth-oldest university in continuous operation. Originally established in Ingolstadt in 1472 by Duke Ludwig IX of Bavaria-Landshut, the university was moved in 1800 to Landshut by King Maximilian I of Bavaria when the city was threatened by the French, before being relocated to its present-day location in Munich in 1826 by King Ludwig I of Bavaria. In 1802, the university was officially named Ludwig-Maximilians-Universität by King Maximilian I of Bavaria in honor of himself and Ludwig IX. LMU is currently the second-largest university in Germany in terms of student population; in the 2018/19 winter semester, the university had a total of 51,606 matriculated students. Of these, 9,424 were freshmen while international students totalled 8,875 or approximately 17% of the student pop ...
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Deutsche Biographische Enzyklopädie
The ''Deutsche Biographische Enzyklopädie'' (''DBE'') is a biographical dictionary published by Walther Killy and Rudolf Vierhaus (from the third to fourth volume), the first edition of which was published from 1995 to 2003 in 13 volumes by K. G. Saur Verlag. Between 2005 and 2008 a second twelve-volume, revised and extended edition was published. Profile The first issue of the ''German Biographical Encyclopedia'' contained articles on around 56,000 people. In the second edition, this number grew to around 63,000 people. The majority of the articles are short biographies compiled by the editorial staff; in addition there are around 1,300 detailed personal articles written by experts and signed by name. The period of coverage started with the beginning of the written tradition and continues to the present day – with the exception of living persons. It documents life and work, origin, educational background, influential encounters, significant works and achievements, friendshi ...
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Rudolf Vierhaus
Rudolf Vierhaus (29 October 1922 – 13 November 2011) was a German historian who mainly researched the Early modern period. He had been a professor at the newly founded Ruhr University Bochum since 1964. From 1971, he was director of the in Göttingen. He became known for his research on the Age of Enlightenment. Life Born in Wanne-Eickel, the son of a coalminer was the first of his family to attend the Oberrealschule and passed his Abitur in 1941. In the same year, he was called up for military service. As a lieutenant, he was seriously wounded in the battle with American troops at the Moselle in autumn 1944. Vierhaus was captured in Marburg the following year. He spent the following years in military hospitals and clinics. It was not until 1949 that his state of health was reasonably restored. From 1949 he studied history and philosophy at the Westfälische Wilhelms-Universität . His academic teachers were Kurt von Raumer, Herbert Grundmann and Joachim Ritter. Vierhaus w ...
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Walther Killy
Walther Killy (26 August 191728 December 1995) was a German literary scholar who specialised in poetry, especially that of Friedrich Hölderlin and Georg Trakl. He taught at the Free University of Berlin, the Georg-August-Universität Göttingen, as founding rector of the University of Bremen, as visiting scholar at the University of California and Harvard University, and at the University of Bern. He became known as editor of literary encyclopedias, the ''Killy Literaturlexikon'' and the ''Deutsche Biographische Enzyklopädie''. Life Killy was born in Bonn, the son of the lawyer . He studied German, and wrote his doctoral thesis ''Die Überlieferung der Gedichte Hölderlins'', about the tradition of poems by Friedrich Hölderlin, with Julius Petersen in 1940. Killy and his father encouraged Petersen and in Weimar to produce a historical-critical edition of Hölderlin's works, planned to appear in time for the Hölderlin anniversary year 1943. Since Hölderlin was held in hi ...
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Otto Hesse
Ludwig Otto Hesse (22 April 1811 – 4 August 1874) was a German mathematician. Hesse was born in Königsberg, Kingdom of Prussia, Prussia, and died in Munich, Kingdom of Bavaria, Bavaria. He worked mainly on algebraic invariants, and geometry. The Hessian matrix, the Hesse normal form, the Hesse configuration, the Hessian group, Hessian pairs, Hesse's theorem, Hesse pencil, and the Hesse transfer principle are named after him. Many of Hesse's research findings were presented for the first time in ''Crelle's Journal'' or Hesse's textbooks.MacTutor History of Mathematics archive and Complete Dictionary of Scientific Biography Life Hesse was born in Königsberg (today Kaliningrad) as the son of Johann Gottlieb Hesse, a businessman and brewery owner and his wife Anna Karoline Reiter (1788–1865). He studied in his hometown at the University of Königsberg, Albertina under Carl Gustav Jacob Jacobi. Among his teachers were count Friedrich Wilhelm Bessel and Friedrich Julius Ric ...
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Oskar Perron
Oskar Perron (7 May 1880 – 22 February 1975) was a German mathematician. He was a professor at the University of Heidelberg from 1914 to 1922 and at the University of Munich from 1922 to 1951. He made numerous contributions to differential equations and partial differential equations, including the Perron method to solve the Dirichlet problem for elliptic partial differential equations. He wrote an encyclopedic book on continued fractions ''Die Lehre von den Kettenbrüchen''. He introduced ''Perron's paradox'' to illustrate the danger of assuming that the solution of an optimization problem exists: :''Let N be the largest positive integer. If N > 1, then N2 > N, contradicting the definition of N. Hence N = 1''. Works * ''Über die Drehung eines starren Körpers um seinen Schwerpunkt bei Wirkung äußerer Kräfte'', Diss. München 1902 * ''Grundlagen für eine Theorie der Jacobischen Kettenbruchalgorithmus'', Habilitationsschrift Leipzig 1906 * ''Die Lehre von den Kettenb ...
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Srinivasa Ramanujan
Srinivasa Ramanujan (; born Srinivasa Ramanujan Aiyangar, ; 22 December 188726 April 1920) was an Indian mathematician. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems then considered unsolvable. Ramanujan initially developed his own mathematical research in isolation: according to Hans Eysenck: "He tried to interest the leading professional mathematicians in his work, but failed for the most part. What he had to show them was too novel, too unfamiliar, and additionally presented in unusual ways; they could not be bothered". Seeking mathematicians who could better understand his work, in 1913 he began a postal correspondence with the English mathematician G. H. Hardy at the University of Cambridge, England. Recognising Ramanujan's work as extraordinary, Hardy arranged for him to travel to Cambridge. I ...
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Eduard Ritter Von Weber
Eduard Ritter von Weber (May 12, 1870 in Munich – June 20, 1934 in Würzburg) was a German mathematician. Von Weber attended the and afterward from 1888-1894 pursued studies in mathematics in Munich, Göttingen, and Paris. In 1893 he was awarded the Ph.D. from the University of Munich (his dissertation being titled ''Studien zur Theorie der infinitesimalen Transformationen'', Gustav C. Bauer, advisor). Habilitation followed at the University of Munich in 1895, becoming full professor there in 1903. He moved to the University of Würzburg The Julius Maximilian University of Würzburg (also referred to as the University of Würzburg, in German ''Julius-Maximilians-Universität Würzburg'') is a public research university in Würzburg, Germany. The University of Würzburg is one of ... in 1907. Von Weber concerned himself particularly with partial differential equations, in particular the Pfaff problem, and wrote the article "Partial Differential Equations" in the '' En ...
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Academy Of Sciences Leopoldina
The German National Academy of Sciences Leopoldina (german: Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften), short Leopoldina, is the national academy of Germany, and is located in Halle (Saale). Founded on January 1, 1652, based on academic models in Italy, it was originally named the ''Academia Naturae Curiosorum'' until 1687 when Emperor Leopold I raised it to an academy and named it after himself. It was since known under the German name ''Deutsche Akademie der Naturforscher Leopoldina'' until 2007, when it was declared to be Germany's National Academy of Sciences. History ' The Leopoldina was founded in the imperial city of Schweinfurt on 1 January 1652 under the Latin name sometimes translated into English as "Academy of the Curious as to Nature." It was founded by four local physicians- Johann Laurentius Bausch, the first president of the society, Johann Michael Fehr, Georg Balthasar Metzger, and Georg Balthasar Wohlfarth; and ...
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Bayerische Akademie Der Wissenschaften
The Bavarian Academy of Sciences and Humanities (german: Bayerische Akademie der Wissenschaften) is an independent public institution, located in Munich. It appoints scholars whose research has contributed considerably to the increase of knowledge within their subject. The general goal of the academy is the promotion of interdisciplinary encounters and contacts and the cooperation of representatives of different subjects. History On 12 October 1758 the lawyer Johann Georg von Lori (1723–1787), Privy Counsellor at the College of Coinage and Mining in Munich, founded the ''Bayerische Gelehrte Gesellschaft'' (Learned Society of Bavaria). This led to the foundation by Maximilian III Joseph, Elector of Bavaria, of the Bavarian Academy of Sciences and Humanities on 28 March 1759. Count Sigmund von Haimhausen was the first president. The Academy's foundation charter specifically mentions the Parnassus Boicus, an earlier learned society. Originally, the Academy consisted of two divis ...
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Generalized Continued Fraction
In complex analysis, a branch of mathematics, a generalized continued fraction is a generalization of regular continued fractions in canonical form, in which the partial numerators and partial denominators can assume arbitrary complex values. A generalized continued fraction is an expression of the form :x = b_0 + \cfrac where the () are the partial numerators, the are the partial denominators, and the leading term is called the ''integer'' part of the continued fraction. The successive convergents of the continued fraction are formed by applying the fundamental recurrence formulas: :\begin x_0 &= \frac = b_0, \\ pxx_1 &= \frac = \frac, \\ pxx_2 &= \frac = \frac,\ \dots \end where is the ''numerator'' and is the ''denominator'', called continuants, of the th convergent. They are given by the recursion :\begin A_n &= b_n A_ + a_n A_, \\ B_n &= b_n B_ + a_n B_ \qquad \text n \ge 1 \end with initial values :\begin A_ &= 1,& A_0&=b_0,\\ B_&=0, & B_0&=1. \end If the sequence ...
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