Instruct: Given a question, retrieve documents that answer the question.
Query: When did Carl Friedrich Gauss live?
Johann Carl Friedrich Gauss was born on 30 April 1777 in Brunswick (Braunschweig), in the Duchy of Brunswick-Wolfenbüttel (now part of Lower Saxony, Germany), to poor, working-class parents. His mother was illiterate and never recorded the date of his birth, remembering only that he had been born on a Wednesday, eight days before the Feast of the Ascension (which occurs 39 days after Easter). Gauss later solved this puzzle about his birthdate in the context of finding the date of Easter, deriving methods to compute the date in both past and future years. He was christened and confirmed in a church near the school he attended as a child.
Notable German physicists before the 20th century include Hermann von Helmholtz, Joseph von Fraunhofer and Gabriel Daniel Fahrenheit, among others. Albert Einstein introduced the special relativity and general relativity theories for light and gravity in 1905 and 1915 respectively. Along with Max Planck, he was instrumental in the introduction of quantum mechanics, in which Werner Heisenberg and Max Born later made major contributions. Wilhelm Röntgen discovered X-rays. Otto Hahn was a pioneer in the fields of radiochemistry and discovered nuclear fission, while Ferdinand Cohn and Robert Koch were founders of microbiology. Numerous mathematicians were born in Germany, including Carl Friedrich Gauss, David Hilbert, Bernhard Riemann, Gottfried Leibniz, Karl Weierstrass, Hermann Weyl, Felix Klein and Emmy Noether.
In September 1699, the Reichstag decided to introduce an "improved calendar" to the Protestant German states without having to take on the Gregorian Calendar, introduced by Pope Gregory XIII in 1582. The 'improved calendar' was introduced the following year and resulted in 18 February 1700 being followed by 1 March. A patent for the calendar was granted to the planned Berlin Observatory by Prince-elector Frederick III on 10 May 1700 and eight days later Gottfried Kirch was appointed to Director of the Observatory. On 11 July (his 43rd birthday) the Kurfürst signed a document formally founding an Academy and an Observatory in Berlin. Therefore, Berlin received an academy just like those already existing in London, Paris and Rome - the Prussian Academy of Sciences (originally German name: ″Kurfürstlich-Brandenburgische Societät der Wissenschaften″), based on the plans of Gottfried Wilhelm Leibniz. Leibniz became the first president of the Academy. The fees resulting from the calendar patent were the almost single financial basis of the institution for a long period. The society originally had no actual observatory of its own and Kirch carried out his observations at various private observatories including, from 1705, the private observatory of Geheimrat Bernhard Friedrich von Krosigk on the Wallstrasse, in Cölln. Kirch was assisted by his wife Maria Margarethe and his son Christfried. Maria Margarethe discovered, among other things, the comet of 1702. In the meantime the Kurfürst had been raised in 1701 to the rank of King in Prussia. On 1 January 1710, the capital was expanded by uniting the previously independent towns of Dorotheenstadt, Friedrichstadt, Friedrichwerder, and Cölln and Berlin (the oldest ones).
Leonhard Euler considered algebraic operations on numbers modulo an integer, modular arithmetic, in his generalization of Fermat's little theorem. These investigations were taken much further by Carl Friedrich Gauss, who considered the structure of multiplicative groups of residues mod n and established many properties of cyclic and more general abelian groups that arise in this way. In his investigations of composition of binary quadratic forms, Gauss explicitly stated the associative law for the composition of forms, but like Euler before him, he seems to have been more interested in concrete results than in general theory. In 1870, Leopold Kronecker gave a definition of an abelian group in the context of ideal class groups of a number field, generalizing Gauss's work; but it appears he did not tie his definition with previous work on groups, particularly permutation groups. In 1882, considering the same question, Heinrich M. Weber realized the connection and gave a similar definition that involved the cancellation property but omitted the existence of the inverse element, which was sufficient in his context (finite groups).
Two developments in geometry in the 19th century changed the way it had been studied previously. These were the discovery of non-Euclidean geometries by Nikolai Ivanovich Lobachevsky, János Bolyai and Carl Friedrich Gauss and of the formulation of symmetry as the central consideration in the Erlangen Programme of Felix Klein (which generalized the Euclidean and non-Euclidean geometries). Two of the master geometers of the time were Bernhard Riemann (1826–1866), working primarily with tools from mathematical analysis, and introducing the Riemann surface, and Henri Poincaré, the founder of algebraic topology and the geometric theory of dynamical systems. As a consequence of these major changes in the conception of geometry, the concept of "space" became something rich and varied, and the natural background for theories as different as complex analysis and classical mechanics.
Gustav Fabergé, a Baltic German, was born in the city of Pernau (now Pärnu) in Livonia (present-day Estonia). His father, the artisan Pierre Favry (1768–1858; later Fabrier), moved to the Baltic province of Livonia, then part of the Russian Empire. Pierre had moved there by 1800 from the German city of Schwedt an der Oder. He married a Silesian merchant’s daughter named Maria Louisa Elsner (1776–1855). His family were Huguenots from Picardy living in Germany, having fled religious persecution in France at the end of the 17th century, after the Revocation of the Edict of Nantes. In 1796, he registered as a master joiner in Pärnu under the names of Peter Fabrier in 1796 and Peter Faberg in 1808. Their son Gustav was born in Pärnu, where he adopted the surname of Faberge in 1828. Gustav was apprenticed to Andreas Ferdinand Spiegel in St Petersburg. He then worked for Johann Wilhelm Keibel in the 1830s.
Raphael Levi Hannover (1685 – May 17, 1779) was a German mathematician and astronomer. The son of Jacob Joseph, Hannover was born at Weikersheim, Franconia in 1685. He was educated at the Jewish school of Hanover and at the yeshivah of Frankfurt am Main, and became bookkeeper in the firm of Simon Wolf Oppenheimer in Hanover. Here he attracted the attention of Leibniz, and for a number of years was one of his most distinguished pupils (including last secretary), and afterward teacher of mathematics, astronomy, and natural philosophy. He also corresponded with Moses Mendelssohn.
Abstract algebra was developed in the 19th century, deriving from the interest in solving equations, initially focusing on what is now called Galois theory, and on constructibility issues. George Peacock was the founder of axiomatic thinking in arithmetic and algebra. Augustus De Morgan discovered relation algebra in his "Syllabus of a Proposed System of Logic". Josiah Willard Gibbs developed an algebra of vectors in three-dimensional space, and Arthur Cayley developed an algebra of matrices (this is a noncommutative algebra).
It was Gauss who coined the term "non-Euclidean geometry". He was referring to his own, unpublished work, which today we call "hyperbolic geometry". Several authors still consider "non-Euclidean geometry" and "hyperbolic geometry" to be synonyms. In 1871, Felix Klein, by adapting a metric discussed by Arthur Cayley in 1852, was able to bring metric properties into a projective setting and was thus able to unify the treatments of hyperbolic, euclidean and elliptic geometry under the umbrella of projective geometry. Klein is responsible for the terms "hyperbolic" and "elliptic" (in his system he called Euclidean geometry "parabolic", a term which has not survived the test of time and is used today only in a few disciplines.) His influence has led to the common usage of the term "non-Euclidean geometry" to mean either "hyperbolic" or "elliptic" geometry.
Gaius was born in Rome in 20BC to Marcus Vipsanius Agrippa and Julia the Elder. He was a part of the Julio-Claudian dynasty, and was related to all the Julio-Claudian emperors. On his mother's side, he was the oldest grandson of emperor Augustus. He was the stepson of Tiberius by his mother Julia’s marriage to him, and Brother in law of Claudius by his sister Agrippina the Elder's marriage to Germanicus. He also was the uncle of Caligula, who was the son of his sister Agrippina. The last emperor of the dynasty was Nero, who was Gaius' great-nephew and the grandson of Germanicus. An annual sacrifice on his birthday was granted in a decree.
Count Carl Gustav Rehnskiöld (6 August 1651 – 29 January 1722) was a Swedish Field Marshal ("Fältmarskalk") and Royal Councilor. He was King Charles XII's mentor and chief military advisor, and served as deputy commander-in-chief of the Carolean Army, an army he assisted both in its education and development.
Albert Ludwig Sigesmund Neisser (22 January 1855, Schweidnitz – 30 July 1916, Breslau) was a German physician who discovered the causative agent (pathogen) of gonorrhea, a strain of bacteria that was named in his honour ("Neisseria gonorrhoeae").
Euclid (; – "Eukleídēs", ; fl. 300 BC), sometimes given the name Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the "founder of geometry" or the "father of geometry". He was active in Alexandria during the reign of Ptolemy I (323–283 BC). His "Elements" is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century. In the "Elements", Euclid deduced the theorems of what is now called Euclidean geometry from a small set of axioms. Euclid also wrote works on perspective, conic sections, spherical geometry, number theory, and rigor.
Garneray was born in Paris (on Rue Saint-Andre-des-arts, in the Latin Quarter) on 19 February 1783. He was the elder son of Jean-François Garneray (1755–1837), painter of the king, who was pupil of Jacques-Louis David. At thirteen, he joined the Navy as a seaman, encouraged by his cousin, Beaulieu-Leloup, commander of the frigate "Forte" ("the Stout one"). Garneray sailed from Rochefort to the Indian Ocean with the frigate division under Sercey, to which the "Forte" belonged.
On 15 September 1973, Carl Gustaf became King of Sweden upon the death of his grandfather, Gustaf VI Adolf. On September 19, he took the required regal assurance () during an extraordinary meeting of the cabinet. Afterwards, he appeared before the parliament, diplomatic corps, court, etc. in the Hall of State at the Royal Palace where he gave a speech. Both the cabinet meeting and ceremony at the Hall were broadcast live on television. Following the ceremonies, he appeared on the balcony to acknowledge gathered crowds. At the cabinet meeting, the King declared that his name would be Carl XVI Gustaf and that his title would be King of Sweden. He adopted, "For Sweden – With the times" as his personal motto ("För Sverige – i tiden").
Christian von Ehrenfels (also "Maria Christian Julius Leopold Freiherr von Ehrenfels"; 20 June 1859 – 8 September 1932) was an Austrian philosopher, and is known as one of the founders and precursors of Gestalt psychology.
Gustave Eiffel was born in Burgundy, France, in the city of Dijon, Côte-d'Or, the first child of Catherine-Mélanie (née Moneuse) and Alexandre Bönickhausen (). He was a descendant of Jean-René Bönickhausen, who had emigrated from the German town of Marmagen and settled in Paris at the beginning of the 18th century. The family adopted the name Eiffel as a reference to the Eifel mountains in the region from which they had come. Although the family always used the name Eiffel, Gustave's name was registered at birth as Bonickhausen dit Eiffel, and was not officially changed to Eiffel until 1880.
Marie Jean Pierre Flourens (13 April 1794 – 6 December 1867), father of Gustave Flourens, was a French physiologist, the founder of experimental brain science and a pioneer in anesthesia. Through the study of ablations on animals, he was the first to prove that the mind was located in the brain, not the heart.
Sagnac was born at Périgueux and entered the École Normale Supérieure in 1889. While a lab assistant at the Sorbonne, he was one of the first in France to study X-rays, following Wilhelm Conrad Röntgen. He belonged to a group of friends and scientists that notably included Pierre and Marie Curie, Paul Langevin, Jean Perrin, and the mathematician Émile Borel. Marie Curie says that she and her husband had traded ideas with Sagnac around the time of the discovery of radioactivity. Sagnac died at Meudon-Bellevue.
Isaac Barrow (October 1630 – 4 May 1677) was an English Christian theologian and mathematician who is generally given credit for his early role in the development of infinitesimal calculus; in particular, for the discovery of the fundamental theorem of calculus. His work centered on the properties of the tangent; Barrow was the first to calculate the tangents of the kappa curve. He is also notable for being the inaugural holder of the prestigious Lucasian Professorship of Mathematics, a post later held by his student, Isaac Newton who also went on to develop calculus in its modern form.
Charles-Édouard Jeanneret was born on 6 October 1887 in La Chaux-de-Fonds, a small city in the French-speaking Neuchâtel canton in north-western Switzerland, in the Jura mountains, just across the border from France. It was an industrial town, devoted to the manufacture of watches. (He adopted the pseudonym of "Le Corbusier" in 1920.) His father was an artisan who enameled boxes and watches, while his mother gave piano lessons. His elder brother Albert was an amateur violinist. He attended a kindergarten that used Fröbelian methods.
On 23 February 1855, Gauss died of a heart attack in Göttingen (then Kingdom of Hanover and now Lower Saxony); he is interred in the Albani Cemetery there. Two people gave eulogies at his funeral: Gauss's son-in-law Heinrich Ewald, and Wolfgang Sartorius von Waltershausen, who was Gauss's close friend and biographer. Gauss's brain was preserved and was studied by Rudolf Wagner, who found its mass to be slightly above average, at 1,492 grams, and the cerebral area equal to 219,588 square millimeters (340.362 square inches). Highly developed convolutions were also found, which in the early 20th century were suggested as the explanation of his genius.
On 30 April 2018, Google honoured Gauss in his would-be 241st birthday with a Google Doodle showcased in Europe, Russia, Israel, Japan, Taiwan, parts of Southern and Central America and the United States.
Gauss had six children. With Johanna (1780–1809), his children were Joseph (1806–1873), Wilhelmina (1808–1846) and Louis (1809–1810). With Minna Waldeck he also had three children: Eugene (1811–1896), Wilhelm (1813–1879) and Therese (1816–1864). Eugene shared a good measure of Gauss's talent in languages and computation. After his second wife's death in 1831 Therese took over the household and cared for Gauss for the rest of his life. His mother lived in his house from 1817 until her death in 1839.
Around 1807 (sources differ), during the Napoleonic wars, the French were occupying the German town of Braunschweig, where Gauss lived. Germain, concerned that he might suffer the fate of Archimedes, wrote to General Pernety, a family friend, requesting that he ensure Gauss' safety. General Pernety sent a chief of a battalion to meet with Gauss personally to see that he was safe. As it turned out, Gauss was fine, but he was confused by the mention of Sophie's name.