Carl gauss contributions
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In 1807, Gauss was appointed professor of mathematics and director of the observatory at GĂ¶ttingen, positions that he held for the rest of his life. Eventually he established himself as a prominent mathematician in Germany and his reputation soon spread internationally. Interesting Facts about Carl Friedrich Gauss: 1. His mathematical talent earned him the attention of the local Duke, who sponsored his education from secondary school through post-graduate study. The project in Hanover also motivated Gauss to make contributions to the field of Geometry. He was rare among mathematicians in that he was a calculating , and he retained the ability to do elaborate calculations in his head most of his life.

Gauss was born on April 30, 1777, in Brunswick, in the Duchy of Brunswick-Wilfenbuttel into a poor family. His sextant is pictured on the last series of German 10-Mark notes, honoring his considerable contributions to surveying. This was a major discovery in the field of mathematics as construction problems had baffled mathematicians for centuries. With respect to gravity, Gauss's law is basically the same as Newton's law, but in certain cases gives an easier way to find gravitational fields. Eventually these discoveries led to Gauss' appointment as professor of mathematics and director of the observatory at Gottingen, where he remained in his official position until his death on February 23, 1855. An example of how Gauss revolutionized number theory can be seen in his work with complex numbers combinations of real and imaginary numbers.

Gauss took an increasing interest in astronomy during his years as a student at GĂ¶ttingen University and at age 24 solved the foremost problem of mathematical astronomy, the. While doing this he cr â€¦ eated the method of philosophical problem solving, and his Theory of Forms. More importantly though, there are innumerable parts of the field of math that we do not know the history of, much less the first people to stumble upon them. All these explanations have some merit, though none has enough to be the whole explanation. In the same year, Gauss made an investment, based on data collected from journals and newspapers, that gave him a profit equal to 200 times his annual salary! He corresponded with many, but not all, of the people rash enough to write to him, but he did little to support them in public. Gauss was not the first to intepret complex numbers graphically Jean-Robert Argand produced his Argand diagrams in 1806, and the Dane Caspar Wessel had described similar ideas even before the turn of the century , but Gauss was certainly responsible for popularizing the practice and also formally introduced the standard notation a + b i for complex numbers. Famous Quote: 'Ask her to wait a moment - I am almost done.

He also worked on a new method for determining the orbits of new asteroids. Can you see how Gauss's method works? In the same year, Carl also published work concerning the field of Astronomy. His sextant is pictured on the last series of German 10-Marknotes, honoring his considerable contributions to surveying. It turns out that, via the central limit theorem, the distribution of the mean or sum of a large number of independent random variables should approach the normal distribution as the number of variables grows large. Carl Gauss Gauss, Johann Carl Friedrich 1777â€”1855 Carl Friedrich Gauss Carl Friedrich Gauss, one of the most important and prolific mathematicians of all times, was born in Braunschweig, Germany on April 30, 1777.

Born to poor working-class parents in Brunswick, he started displaying evidence of his genius while he was just a young child. Also in the same year, Gauss discovered normal distribution, a very important concept of the field of statistics. He spoke quite freely, very clearly, simply and plainly: but when he wanted to emphasize a new viewpoint â€¦ then he lifted his head, turned to one of those sitting next to him, and gazed at him with his beautiful, penetrating blue eyes during the emphatic speech. Some of his most important findings had practical implications, as he proposed a number of theorems on shapes that had a direct impact on architecture and construction. These include number theory, algebra, statistics, differential geometry, electrostatics, astronomy, and many more.

In probability and statistics, Gauss is famous for his development of the method of least squares and the discovery of the , now also known as the Gaussian distribution in his honor. 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. 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. This means that, among other things, a Gaussian wave packet in quantum mechanics saturates Heisenberg's uncertainty relation, i. The measurement requires special equipment. He also wrote the first modern book on number theory, and proved the law of quadratic reciprocity.

Gaussian distribution The Gaussian distribution, better known as the bell curve, is absolutely fundamental in statistics. Gauss is attributed to a number of other major discoveries in different related fields, including non-Euclidean geometry and Gaussian geometry, important in land surveys and determining curvatures. Even though there were many difficulties, he was able to help progress the project. Unwilling to court controversy, however, Gauss decided not to pursue or publish any of his avant-garde ideas in this area, leaving the field open to , although he is still considered by some to be a pioneer of non-Euclidean geometry. We encourage interested readers to pick up one of the biographies listed at the top left of the page.

In fact, Gauss went beyond even the heptadecagon. For more than a decade he traveled across the country on horseback during the summer with a surveying crew. During the decades of 1830, 1840, and 1850, Carl suffered from insomnia, stomach discomfort, congestion, bronchitis, painful corns, shortness of breath, heart flutter, chronic hypochondria, and melancholia. But in a few seconds, to his teacher's surprise, Carl proceeded to the front of the room and placed his slate on the desk. The University of GĂ¶ttingen was small, and he did not seek to enlarge it or to bring in extra students. The 1840s were a much less productive decade for Carl. As a young man, Gauss found he could not keep up with the flow of mathematical ideas pouring unabated into his mind.

Gauss was the only child of poor parents. Toward the end of his life, mathematicians of the of and Riemann passed through GĂ¶ttingen, and he was helpful, but contemporaries compared his writing style to thin gruel: it is clear and sets high standards for rigour, but it lacks motivation and can be slow and wearing to follow. His Kitab al-Jabr wa-l-Muqabala presented the first systematic solution of linear and quadratic equations. It turns out this function isn't only important in statistics: a Gaussian function has the very interesting property that its fourier transform is also Gaussian. He also learned how to speak, read, and understand Russian motivated because he wanted to read texts by Lobachevsky and finished calculations from the project he had conducted in Hannover. These include fundamental results in number theory, differential equations, infinite series, conic sections, numerical integration, the hypergeometric functions, differential geometry, non-Euclidean geometry, linear algebra, and potential theory.