Carl friedrich gauss

Copyright notice This article Carl Friedrich Gauss was adapted from an original article by O.B. Sheynin, which appeared in StatProb: The Encyclopedia Sponsored by Statistics and Probability Societies. The original article ([http://statprob.com/encyclopedia/CarlFriedrichGAUSS.html StatProb Source], Local Files: Encyclopedia of Mathematics, and its further issues are under Creative Commons Attribution Share-Alike License'. All pages from StatProb are contained in the Carl Friedrich GAUSS b. 30 April 1777 - d. 23 February 1855 Summary. Gauss shaped the treatment of observations into a practical tool. Various principles which he advocated became an integral part of statistics and his theory of errors remained a major focus of probability theory up to the 1930s. Gauss was born on 30 April, 1777 in Brunswick, Germany, into a humble family and attended a squalid school. At the age of ten, he became friendly with Martin Bartels, later a teacher of Lobachevsky. Bartels, an assistant schoolmaster in Gauss's school, studied mathematics together with Gauss and introduced him to influential friends. From 1792 to 1806 Gauss was financially supported by the Duke of Brunswick. He was thus able to graduate from college (1796) and Göttingen University (1798). He then returned to Brunswick and earned his doctorate from Helmstedt University (1799). Only in 1807 did Gauss become director of the Göttingen astronomical observatory (completed in 1816), and his further life was invariably connecte...

Carl Friedrich Gauss (1777-1855) is recognised as being one of the greatest mathematicians of all time. During his lifetime he made significant contributions to almost every area of mathematics, as well as physics, astronomy and statistics. Like many of the great mathematicians, Gauss showed amazing mathematical skill from an early age, and there are many stories which show how clever he could be. The most well-known story is a tale from when Gauss was still at primary school. One day Gauss' teacher asked his class to add together all the numbers from $1$ to $100$, assuming that this task would occupy them for quite a while. He was shocked when young Gauss, after a few seconds thought, wrote down the answer $5050$. The teacher couldn't understand how his pupil had calculated the sum so quickly in his head, but the eight year old Gauss pointed out that the problem was actually quite simple. He had added the numbers in pairs - the first and the last, the second and the second to last and so on, observing that $1+100=101$, $2+99=101$, $3+98=101$, ...so the total would be $50$ lots of $101$, which is $5050$. It is remarkable that a child still in elementary school had discovered this method for summing sequences of numbers, but of course Gauss was a remarkable child. Fortunately his talents were discovered, and he was given the chance to study at university. By his early twenties, Gauss had made discoveries that would shape the future of mathematics. While the story may not be...

Friedrich Gauss. by Jensen. Top 10 Fascinating Facts about Carl F. Gauss Johann Carl Friedrich Gauss was a German mathematician who contributed significantly to many fields, including number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, mechanics, electrostatics, astronomy, and matrix theory, and optics. Sometimes referred to as the Princeps mathematicorum(Latin, “the foremost of mathematicians”) and “greatest mathematician since antiquity”, Gauss had an exceptional influence in many fields of mathematics and science and is ranked as one of history’s most influential mathematicians. Here are the top ten fascinating facts about Carl F. Gauss. 1. Gauss was the first mathematician to construct a 17-sided heptadecagon using a compass and a straight edge, and more importantly, was the first to prove the laws of quadratic reciprocity. Statue of Gauss in Braunschweig. by Unknown. 2. His Mathematical Skills Attracted the Attention of the Duke of Brunswick, Who Helped Him Attend the Collegium Carolinum & the University of Göttingen, Where He Made His First Discoveries When Gauss was young, his mathematical skills and ability as a student attracted the attention of Charles William Ferdinand, the Duke of Brunswick-Wolfenbüttel, who funded his education, according to the University of St. Andrews. He began studying at the Brunswick Collegium Carolinum in 1792, where he discovered, the “Bode’s law, the binomial theorem and the arithmetic-geometric m...

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(1777–1855). The German scientist and mathematician Carl Friedrich Gauss is frequently called the founder of modern mathematics. His work in astronomy and physics is nearly as significant as that in mathematics. He also contributed much to crystallography, optics, biostatistics, and mechanics. He was born on April 30, 1777, to a peasant couple in Brunswick, in what is now western Germany. Many anecdotes refer to his extraordinary feats of mental computation. As an old man he said jokingly that he could count before he could talk. In elementary school he soon impressed his teacher, who is said to have convinced Gauss’s father that the son should be permitted to study with a view toward entering a university. In secondary school, after 1788, he rapidly distinguished himself in ancient languages and mathematics. At the age of 14 Gauss was presented to the duke of Brunswick at court, where he was permitted to exhibit his computing skill. The duke was so impressed that he generously supported Gauss until the duke’s death in 1806. Gauss conceived almost all his fundamental mathematical discoveries between the ages of 14 and 17. In 1791 he began to do totally new and innovative work in mathematics. In 1793–94 he did intensive research in number theory, especially on prime numbers. He made this his life’s passion and is regarded as its modern founder. Gauss studied at the University of Göttingen from 1795 to 1798. He soon decided to write a book on the theory of numbers. It appear...

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fundamental theorem of algebra, theorem of equations proved by n with n roots, or solutions, in the complex numbers. The roots can have a x 2 − 2 x + 1 = 0 can be expressed as ( x − 1)( x − 1) = 0; that is, the root x = 1 occurs with a multiplicity of 2. The theorem can also be stated as every polynomial equation of degree n where n ≥ 1 with complex number coefficients has at least one root. This article was most recently revised and updated by

fundamental theorem of algebra, theorem of equations proved by n with n roots, or solutions, in the complex numbers. The roots can have a x 2 − 2 x + 1 = 0 can be expressed as ( x − 1)( x − 1) = 0; that is, the root x = 1 occurs with a multiplicity of 2. The theorem can also be stated as every polynomial equation of degree n where n ≥ 1 with complex number coefficients has at least one root. This article was most recently revised and updated by

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Friedrich Gauss. by Jensen. Top 10 Fascinating Facts about Carl F. Gauss Johann Carl Friedrich Gauss was a German mathematician who contributed significantly to many fields, including number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, mechanics, electrostatics, astronomy, and matrix theory, and optics. Sometimes referred to as the Princeps mathematicorum(Latin, “the foremost of mathematicians”) and “greatest mathematician since antiquity”, Gauss had an exceptional influence in many fields of mathematics and science and is ranked as one of history’s most influential mathematicians. Here are the top ten fascinating facts about Carl F. Gauss. 1. Gauss was the first mathematician to construct a 17-sided heptadecagon using a compass and a straight edge, and more importantly, was the first to prove the laws of quadratic reciprocity. Statue of Gauss in Braunschweig. by Unknown. 2. His Mathematical Skills Attracted the Attention of the Duke of Brunswick, Who Helped Him Attend the Collegium Carolinum & the University of Göttingen, Where He Made His First Discoveries When Gauss was young, his mathematical skills and ability as a student attracted the attention of Charles William Ferdinand, the Duke of Brunswick-Wolfenbüttel, who funded his education, according to the University of St. Andrews. He began studying at the Brunswick Collegium Carolinum in 1792, where he discovered, the “Bode’s law, the binomial theorem and the arithmetic-geometric m...