However, several of his students became influential mathematicians, among them Richard Dedekind, Bernhard Riemann, and Friedrich Bessel.

In mathematics, the Cauchy – Riemann differential equations in complex analysis, named after Augustin Cauchy and Bernhard Riemann, consist of a system of two partial differential equations which must be satisfied if we know that a complex function is complex differentiable.

Historically, the concept of fundamental group first emerged in the theory of Riemann surfaces, in the work of Bernhard Riemann, Henri Poincaré and Felix Klein, where it describes the monodromy properties of complex functions, as well as providing a complete topological classification of closed surfaces.

Heine proposed that Cantor solve an open problem that had eluded Dirichlet, Lipschitz, Bernhard Riemann, and Heine himself: the uniqueness of the representation of a function by trigonometric series.

A rigorous mathematical definition of the integral was given by Bernhard Riemann.

Additional impetus to consider continuous groups came from ideas of Bernhard Riemann, on the foundations of geometry, and their further development in the hands of Klein.

* Bernhard Riemann

Some notable mathematicians include Archimedes of Syracuse, Leonhard Euler, Carl Gauss, Johann Bernoulli, Jacob Bernoulli, Aryabhata, Brahmagupta, Bhaskara II, Nilakantha Somayaji, Omar Khayyám, Muhammad ibn Mūsā al-Khwārizmī, Bernhard Riemann, Gottfried Leibniz, Andrey Kolmogorov, Euclid of Alexandria, Jules Henri Poincaré, Srinivasa Ramanujan, Alexander Grothendieck, David Hilbert, Alan Turing, von Neumann, Kurt Gödel, Joseph-Louis Lagrange, Georg Cantor, William Rowan Hamilton, Carl Jacobi, Évariste Galois, Nikolay Lobachevsky, Rene Descartes, Joseph Fourier, Pierre-Simon Laplace, Alonzo Church, Nikolay Bogolyubov and Pierre de Fermat.

In the branch of mathematics known as real analysis, the Riemann integral, created by Bernhard Riemann, was the first rigorous definition of the integral of a function on an interval.

In the 1850s, Bernhard Riemann developed an equivalent theory of elliptical geometry, in which no parallel lines pass through P. In this geometry, triangles have more than 180 ° and circles have a ratio of circumference-to-diameter that is less than pi.

Tensors were first conceived by Tullio Levi-Civita and Gregorio Ricci-Curbastro, who continued the earlier work of Bernhard Riemann and Elwin Bruno Christoffel and others, as part of the absolute differential calculus.

* September 17 – Bernhard Riemann, German mathematician ( d. 1866 )

* Bernhard Riemann formulates the Riemann hypothesis, one of the most important open problems of contemporary mathematics.

* July 20 – Bernhard Riemann, German mathematician ( b. 1826 )

In the 19th century, Augustin Cauchy finally developed a rigorous theory of limits, and Bernhard Riemann followed up on this by formalizing what is now called the Riemann integral.

In the 19th century, calculus was put on a much more rigorous footing by mathematicians such as Augustin Louis Cauchy ( 1789 – 1857 ), Bernhard Riemann ( 1826 – 1866 ), and Karl Weierstrass ( 1815 – 1897 ).

Bernhard Riemann, in a famous lecture in 1854, founded the field of Riemannian geometry, discussing in particular the ideas now called manifolds, Riemannian metric, and curvature.

In the mathematical field of differential geometry, the Riemann curvature tensor, or Riemann – Christoffel tensor after Bernhard Riemann and Elwin Bruno Christoffel, is the most standard way to express curvature of Riemannian manifolds.

* Bernhard Witkop memoir of Julian

On January 7, 1982, brothers Karl and Walter Bernhard LaGrand bungled an armed bank robbery in Marana, Arizona, United States, killing a man and severely injuring a woman in the process.

On July 4, 1998, she had her daughter Cicely Yasin Bernhard via caesarean section.

On the left of the Protestant line the left Swedish wing under Bernhard of Weimar and the Imperial-Bavarian troops had avoided closing with each other, until late in the battle.

Riemannian geometry originated with the vision of Bernhard Riemann expressed in his inaugurational lecture Ueber die Hypothesen, welche der Geometrie zu Grunde liegen ( English: On the hypotheses on which geometry is based ).

On January 23, 1992, he announced his resignation because of alleged Stasi contacts and was succeeded by Bernhard Vogel on February 5, 1992.

* Bernhard Riemann publishes his paper on number theory, die Anzahl der Primzahlen unter einer gegebenen (" On the Number of Primes Less Than a Given Magnitude ") including the Riemann zeta function and Riemann hypothesis.

Euler generalised the problem considerably, and his ideas were taken up years later by Bernhard Riemann in his seminal 1859 paper On the Number of Primes Less Than a Given Magnitude, in which he defined his zeta function and proved its basic properties.

" die Anzahl der Primzahlen unter einer gegebenen " ( usual English translation: " On the Number of Primes Less Than a Given Magnitude ") is a seminal 10-page paper by Bernhard Riemann published in the November 1859 edition of the Monatsberichte der Königlich Preußischen Akademie der Wissenschaften zu Berlin.

On the other side were Prince Bernhard, his supporters and the children of him and Juliana, including the later Dutch queen, Beatrix.

On 7 February 2004 Bernhard wrote in an open letter to the Volkskrant newspaper " with respect to the so-named Hofmans affair, I recall that the Beel Commission in 1956 conducted an exhaustive investigation.

On arriving in England in 1934 he was met by Bernhard Neumann and Hanna von Caemmerer ( later to become Hanna Neumann who was visiting Bernhard ).

On 5 June 2003 he was elected Minister-president of Thuringia ; he succeeded Bernhard Vogel, who had resigned for reasons of age.

On January 22, 1556, along with Bernhard Krechting and Bernhard Knipperdolling, he was tortured and then executed.

On 1 February 1997, Dr Anton Rupert, together with HRH Prince Bernhard of the Netherlands and Dr Nelson Mandela founded Peace Parks Foundation as a not-for-profit organisation to facilitate the establishment of transfrontier conservation areas ( TFCAs ), also called peace parks.

On a visit to Berlin in 1996, Pope John Paul II recognized Leisner as a martyr for the Catholic faith and beatified him, together with Bernhard Lichtenberg, another Nazi resister.

On 5 February 1638, the city was besieged by Protestant troops under the command of Bernhard of Saxe-Weimar.

On December 7, 1638, Bernhard of Saxe-Weimar, who was subsidized by France, conquered the city, which Ferdinand II and General Reinach had defended well, and tried to make the centre of a new territory.

* Forestry Quarterly first published in 1902 by the New York State College of Forestry at Cornell, Ithaca, New York ; Bernhard Fernow was one of the editors

It was not until 1956 that Bernhard Bischoff identified a third manuscript ( consisting of a single leaf ) that contained fragments of Fronto's correspondence with Verus, which overlapped the Milan palimpsest ; however, the actual manuscript had been first published in 1750 by Dom Tassin, who conjectured that it might have been the work of Fronto.

Modern Orthodox rabbis such as Joseph Soloveitchik, Norman Lamm, Randalf Stolzman, Abraham Besdin, Emanuel Rackman, Eliezer Berkovits and others have written on this issue ; many of their works have been collected in a volume published by the Rabbinical Council of America: Theological and Halakhic Reflections on the Holocaust ( edited by Bernhard H. Rosenberg and Fred Heuman, Ktav / RCA, 1992 ).

It was reproduced on the cover of the dust-wrapper and as the frontispiece of Eduard Fischer's biography ' Bundesrat Bernhard Hammer und Seine Zeit ', published in Solothurn in 1970.

In the year following his appointment he published a second monograph Der Heilige Bernhard und sein Zeitalter ( Berlin, 1813 ) and then in 1818 his work on Gnosticism ( Genetische Entwickelung der vornehmsten gnostischen Systeme ).

First published in 1714 by Giovanni Maria Lancisi, and again in 1744 by Cajetan Petrioli, and again in 1744 by Bernhard Siegfried Albinus, and subsequently at Bonn in 1790, the engravings show that Eustachius had dissected with the greatest care and diligence, and taken the utmost pains to give just views of the shape, size, and relative position of the organs of the human body.

During this period of time, he collaborated with Luo Changpei and Li Fanggui, the other two leading Chinese linguists of his generation, to edit and render into Chinese Bernhard Karlgren's monumental Etudes sur la Phonologie Chinoise ( published in 1940 ).

One of the prisoners, the Jewish Slovak printer-turned-counterfeiter Adolf Burger, later contributed to the awareness of Operation Bernhard with several versions of his memoirs published in Central European languages and in Persian.

The correspondence between Bernhard and his publisher Siegfried Unseld from 1961 to 1989 – about 500 letters – was published in December 2009 at Suhrkamp Verlag, Germany.

Though many people were unaware of this, Bernhard produced the photography for the first catalog published by the Museum of Modern Art in New York City.

Bernhard told Williams that she knew there would be a book of her photography after her death, but hoped one could be published during her lifetime.

Carol Williams credited Ruth Bernhard with encouraging her to venture into book publishing, and later published several other photographic monographs through Photography West Graphics.

The well-known author Bernhard Hütteneger published his childhood memories and a travel book about Iceland.

November ( The Ninth of November ) is the title of a novel by Bernhard Kellermann published in Germany that told the story of the German insurrection of 1918.

In 1714, Michael Bernhard Valentini published an early museological work, Museum Museorum, an account of the cabinets known to him with catalogues of their contents.

Derbyshire's book, Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics was first published in hardcover in 2003 and then paperback in 2004.

* mica-Interview-Interview with Bernhard Gal, published by the music information center Austria ( mica ), April 2011 ( in German )

* The Loser ( novel ), a novel by Thomas Bernhard and originally published in German in 1983

In 1913, the novel Der Tunnel was published by German author Bernhard Kellermann.

* The Hitchhiker's Guide to the Galaxy: Per Anhalter durch die Galaxis, translated by Benjamin Schwarz, first published by Rogner und Bernhard GmbH und Co. Verlags KG, Munich, 1981.

* The Restaurant at the End of the Universe: Das Restaurant am Ende des Universums, translated by Benjamin Schwarz, first published by Rogner und Bernhard GmbH und Co. Verlags KG, Munich, 1982.

* Life, the Universe and Everything: Das Leben, das Universum und der ganze Rest, translated by Benjamin Schwarz, first published by Rogner und Bernhard GmbH und Co. Verlags KG, Munich, 1983.

* So Long, and Thanks for All the Fish: Macht ’ s gut, und danke für den Fisch, translated by Benjamin Schwarz, first published by Rogner und Bernhard GmbH und Co. Verlags KG, Munich, 1985.