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Topic: Bernhard Riemann


Related Topics
Riemann
Riemann hypothesis
Riemann integral
Riemann surface
Riemann zeta function
Riemann mapping theorem
On the Number of Primes Less Than a Given Magnitude
Darboux integral
Lebesgue integration
Riemannian geometry
Henri Lebesgue
Felix Klein
Glossary of Riemannian and metric geometry
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Hausdorff measure

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  BERNHARD RIEMANN
Bernhard Riemann (1826-1866) was one of the leading mathematicians of the nineteenth century.
Riemann was born in 1826 in the kingdom of Hannover, later part of Germany.
Riemann's lecture, "On the hypotheses that lie at the foundation of geometry" was given on June 10, 1854.
www.usna.edu /Users/math/meh/riemann.html   (1057 words)

  
  Georg Friedrich Bernhard Riemann - LoveToKnow 1911
His father, Friedrich Bernhard Riemann, came from Mecklenburg, had served in the war of freedom, and had finally settled as pastor in Quickborn.
In 1846 Riemann entered himself as a student of philology and theology in the university of Göttingen.
It was fortunate, no doubt, for Riemann that he had the kind advice and encouragement of Dirichlet himself, who was then on a visit at Göttingen during the preparation of his essay; but the result was a memoir of such originality and refinement as showed that the pupil was fully the equal of the master.
www.1911encyclopedia.org /Georg_Friedrich_Bernhard_Riemann   (1135 words)

  
 Bernhard Riemann Summary
Riemann wove together and generalized three crucial discoveries of the 19th century: the extension of Euclidean geometry to n dimensions; the logical consistency of geometries that are not Euclidean; and the intrinsic geometry of a surface, in terms of its metric and curvature in the neighborhood of a point.
Riemann was shy and self-effacing and recognition for his work came slowly during his lifetime; awareness of his truly striking achievements was to come later as his work was validated and as it stimulated the work of others.
Riemann's stay in Berlin was coincident with the March 1848 insurrection in Prussia, and at the height of the revolution Riemann joined other students in guarding the palace of King Friedrich IV for 24 hours.
www.bookrags.com /Bernhard_Riemann   (4836 words)

  
 Riemann biography
Riemann moved from Göttingen to Berlin University in the spring of 1847 to study under Steiner, Jacobi, Dirichlet and Eisenstein.
In 1859 Dirichlet died and Riemann was appointed to the chair of mathematics at Göttingen on 30 July.
Riemann considered a very different question to the one Euler had considered, for he looked at the zeta function as a complex function rather than a real one.
www-groups.dcs.st-and.ac.uk /~history/Biographies/Riemann.html   (2799 words)

  
 Johanneum Lüneburg Bernhard Riemann
Bernhard Riemann (1826 - 1866), who is being called a genius not only in mathematical literature, but also for example in the Brockhaus Encyclopedia and in the internet, passed his Abitur exam 150 years ago at the Johanneum.
Bernhard Riemann was born on the 17th September 1826 in Breselenz/Dannenberg where his father was a vicar.
I hope to have given you an idea of the person Bernhard Riemann, and to have imparted to you a presentiment of the depth of his mathematical thought, although his importance as a mathematician is mainly based upon abstract foundations, with no respect to intellegibility.
www.fh-lueneburg.de /u1/gym03/englpage/chronik/riemann/riemann.htm   (1706 words)

  
 Amazon.de: Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics: English Books: John ...   (Site not responding. Last check: )
Bernhard Riemann was an underdog of sorts, a malnourished son of a parson who grew up to discover one of the greatest problems in mathematics.
Bernhard Riemann was an underdog of sorts, a malnourished son of a parson who grew up to be the author of one of mathematics' greatest problems.
Riemann's basic inquiry, the primary topic of his paper, concerned a straightforward, but nevertheless important matter of arithmetic defining a precise formula to track and identify the occurrence of prime numbers.
www.amazon.de /Prime-Obsession-Bernhard-Greatest-Mathematics/dp/product-description/0309085497   (989 words)

  
 Amazon.fr : Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics: Livres en anglais: ...   (Site not responding. Last check: )
Bernhard Riemann was an underdog of sorts, a malnourished son of a parson who grew up to be the author of one of mathematics' greatest problems.
Riemann’s basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic--defining a precise formula to track and identify the occurrence of prime numbers.
Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows--subtle variations in the distribution of those prime numbers.
www.amazon.fr /gp/product/product-description/0309085497/ref=dp_proddesc_0/402-1474479-5596925?ie=UTF8&n=52042011&s=english-books   (948 words)

  
 Riemann
Riemann moved from Göttingen to Berlin University in the spring of 1847 to study under Steiner, Jacobi, Dirichlet and Eisenstein.
In 1859 Dirichlet died and Riemann was appointed to the chair of mathematics at Göttingen on 30 July.
Riemann considered a very different question to the one Euler had considered, for he looked at the zeta function as a complex function rather than a real one.
www.physics.miami.edu /~curtright/Riemann.html   (2622 words)

  
 Georg Friedrich Bernhard Riemann   (Site not responding. Last check: )
Bernhard Riemann's father acted as teacher to his children, and he taught Bernhard until he was 10 years old, when he started studying at Hanover.
In 1846, Riemann enrolled at the University of Göttingen.
In 1859, Dirichlet died and Riemann was appointed to the chair of mathematics at Göttingen.
www.stetson.edu /~efriedma/periodictable/html/Rn.html   (659 words)

  
 Bernhard Riemann - ExampleProblems.com
Georg Friedrich Bernhard Riemann (September 17, 1826 - July 20, 1866) (pronounced REE mahn) was a German mathematician who made important contributions to analysis and differential geometry, some of them paving the way for the later development of general relativity.
His name is connected with the Riemann zeta function, the Riemann hypothesis, the Riemann integral, the Riemann lemma, Riemannian manifolds, the Riemann mapping theorem, Riemann-Hilbert problems, Riemann surfaces, the Riemann-Roch theorem, the Riemann sphere, and the Cauchy-Riemann equations.
Riemann held his first lectures in 1854, which not only founded the field of Riemannian geometry but set the stage for Einstein's general relativity.
www.exampleproblems.com /wiki/index.php/Bernhard_Riemann   (385 words)

  
 Georg Friedrich Bernhard Riemann
Bernhard was the second of their six children, two boys and four girls.
Riemann's thesis, one of the most remarkable pieces of original work to appear in a doctoral thesis, was examined on 16 December 1851.
Riemann's lecture Über die Hypothesen welche der Geometrie zu Grunde liegen (On the hypotheses that lie at the foundations of geometry), delivered on 10 June 1854, became a classic of mathematics.
www.professores.uff.br /salete/matematicos/Riemann.htm   (2599 words)

  
 Fermat's Last Theorem: Bernhard Riemann
Bernhard Riemann was born in the Kingdom of Hanover (now, Germany) on September 17, 1826.
In 1846, Riemann enrolled in theology at the University of Gottingen.
Riemann transferred there in 1847 and was able to attend courses in advanced mathematics given by Jakob Steiner, Carl Jacobi, Johann Dirichlet, and Ferdinand Eisenstein.
fermatslasttheorem.blogspot.com /2006/11/bernhard-riemann.html   (973 words)

  
 Gatorsports.com :: 100 years of Gator Football
Georg Friedrich Bernhard Riemann (November 17, 1826 - July 20, 1866) (pronounced REE mahn or in) was a German mathematician who made important contributions to analysis and differential geometry, some of them paving the way for the later development of general relativity.
The theory of Riemann surfaces was elaborated by Felix Klein and particularly Adolf Hurwitz.
Riemann was born in Breselenz on November 17, 1826, a village near Dannenberg in the Kingdom of Hanover in what is today Germany.
www.gatorsports.com /apps/pbcs.dll/section?template=wiki&text=Bernhard_Riemann   (1212 words)

  
 AllRefer.com - Bernhard Riemann (Mathematics, Biography) - Encyclopedia
Bernhard Riemann (Georg Friedrich Bernhard Riemann)[gA´Ork frE´drikh bern´hArt rE´mAn] Pronunciation Key, 1826–66, German mathematician.
He laid the foundations of a non-Euclidean system of geometry (Riemannian geometry) representing elliptic space and generalized to n dimensions the work of C. Gauss in differential geometry, thus creating the basic tools for the mathematical expression of the general theory of relativity.
The so called "Riemann hypothesis," concerning the instances in which the function's value is zero, is one of the great unsolved problems in mathematics.
reference.allrefer.com /encyclopedia/R/Riemann.html   (282 words)

  
 wais:topics:friedrich bernhard riemann
When Riemann first expanded geometry to use n-dimensional space to deal with concepts like distance and curvature, he produced a geometry that might have been considered a fanciful exercise in pure mathematics, with little relation to practical reality.
Riemann was born the second of six children of a Lutheran pastor, who gave him an excellent early education.
Originally, Riemann intended to study theology and follow his father into the ministry, but his evident interest in mathematics persuaded him, with his father's kind approval, to abandon theology for math and science.
www.stanford.edu /group/wais/topics/week100104/frederichbernardreimann100104.htm   (585 words)

  
 Biography of Bernhard Riemann
Bernhard Riemann (1826-1866) was the son of a poor country minister in northern Germany.
Riemann's fundamental aim here was to free the concept of an analytic function from any dependence on explicit expressions such as power series, and to concentrate instead on general principles and geometric ideas.
In that paper he explicitly introduced the Riemann curvature tensor, which reduces to the Gaussian curvature when n=2 and whose vanishing he showed to be necessary and sufficient for given quadratic metric to be equivalent to a Euclidean metric.
www.math.iitb.ac.in /news/rightangle/biographies/riemann.html   (1652 words)

  
 Bernhard Riemann
The importance of the Riemann Hypothesis comes from its close connection to one of the most basic phenomena connected with numbers, the distribution of primes.
Riemann's 1859 paper, in which he introduced his Hypothesis, is a bold series of moves which gives a formula not only for the average density of primes but for all the irregularities as well.
He writes that "Everybody knows that in mathematics you must prove every result by strict logic." That is true in the sense that a strict proof of everything is sought, but it is not true if it means that anything not proved is not yet part of mathematics.
www.austms.org.au /Jobs/Reviews6.html   (1396 words)

  
 Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics
Riemann's formulation can be visualized as a landscape extending off in all directions—the books have pictures.
Three new books circle around the Riemann Hypothesis, explaining what it means and how it came to be, and recount stories about the people are who were and are involved with it.
All three authors want the reader to understand how Riemann transformed questions about primes into ones about dips in his landscape—from the steps of counting numbers to the continuum of measuring numbers, as Derbyshire phrases it.
www.case.edu /artsci/math/alexander/reviews/riemann.html   (1396 words)

  
 Biography of Riemann
Georg Friedrich Bernhard Riemann was born on September 17, 1826 in Breselenz, Germany to Georg Friedrich Bernhard Riemann and Charlotte Ebell.
Riemann submitted his thesis in 1851 to Gauss, an impressed Gauss said that Riemann possessed a "Gloriously fertile originality." Thanks to Gauss's recommendation Riemann was appointed to a position at Göttingen.
Riemann observed that the frequency of prime numbers is very closely related to the behavior of an elaborate function.
www.andrews.edu /~calkins/math/biograph/bioriema.htm   (912 words)

  
 Bernhard Riemann
This is the first English translation of the collected papers of Bernhard Riemann (1826-1866), one of the greatest mathematicians of all time.
Riemann surfaces, Riemannian geometry and the Riemann zeta function are fundamental concepts of modern mathematics.
In spite of his short life and precarious health, Riemann provided new and profound insights in many areas of analysis, geometry and physics.
www.kendrickpress.com /Riemann.htm   (242 words)

  
 Bernhard Riemann - CreationWiki
George Friedrich Bernhard Riemann was born september 17,1826 and died in 1866 on July 20th.He lived in a village near Dannenberg in Germany.
Riemann moved from Göttingen to Berlin University in 1847 to study from the best at the time who were Steiner, Jacobi, Dirichlet and Eisenstein.
Riemann's always faced health issues even as a boy he had shown symptoms of consumption, He ended up having to retire to the Harz area with his friends where he gave himself up to excursions and "Naturphilosophie." he later returned to Göttingen and became a professor.
creationwiki.org /Bernhard_Riemann   (378 words)

  
 Bernhard Riemann
Georg Friedrich Bernhard Riemann wurde 1826 bei Hannover geboren.
Sehr früh war Riemann von den Primzahlen und ihren Eigenschaften fasziniert.
Riemann zeigte auf, dass es in gleicher Weise, wie es verschiedene Arten von Kurven und Flächen gibt, auch verschiedene Arten von dreidimensionalen Räumen gibt.
www.mathematik.ch /mathematiker/riemann.php   (216 words)

  
 Riemann, Georg Friedrich Bernhard Riemann - Famous mathematicians pictures, posters, gifts items, note cards, greeting ...
Riemann surfaces, an instance of one overlaying the lower right of Riemann's portrait, are a Riemann invention arising from multi-valued functions -- a not uncommon conundrum in mathematics.
Riemann examined the properties of the Zeta function, (inscribed at the lower left of Riemann's portrait).
And he advanced a riddle of his own, the Riemann hypothesis, essentially positing that the Zeta function has infinitely many non-trivial roots, with the vast majority of the roots lying between 0 and 1.
mathematicianspictures.com /Mathematicians/Riemann.htm   (443 words)

  
 Riemann 猜想漫谈
I think it would be the Riemann Hypothesis.
让我们从一则小故事开始我们的 Riemann 猜想之旅吧。 故事大约发生在七十多年前， 当时英国有一位很著名的数学家叫做 Godfrey Hardy (1877-1947)， 在我看来仗是两百年来英国数学界的一位勇者。 为什么说仗是勇者呢？ 因为在十七丗纪的时候， 英国数学家与欧洲大陆的数学家之间发生了一场激烈的论战。 论战的主题是谁先发明了微积分。 论战所涉及的核心人物一边是英国的科学泰旗 Isaac Newton (1642-1727)， 另一边是欧洲大陆 (德国) 的哲学及数学家 Gottfried Leibniz (1646-1716)。 这一场论战打下来， 两边筋痲力尽自不待言， 还大伤了和气， 留下了旷日持久的后遗症。 自那以后， 英国的许多数学家开始排日起来自欧洲大陆的数学进展。 一场争论演变到这样的一个地步， 英国数学界的集体荣誉及尊严、 Newton 的赫赫威名便都成了负资产， 英国的数学在保守的舞步中走起了下坡路。
Hardy 果真已经证明了 Riemann 猜想吗？ 当然不是。 那仗为什么要发这么一个电报呢？ 回到英国后仗向 Bohr 解释了原因， 仗说如果那次仗乘坐的小船真的沉没了， 那人们就只好相信仗真的证明了 Riemann 猜想。 但仗知道上帝是肯定不会把这么巨大的荣誉送给仗 - 一个坚决不信上帝的人 - 的， 因此上帝一定不会让仗的小船沉没的。
www.changhai.org /contents/science/mathematics/riemann_hypothesis1.html   (408 words)

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