The date was April 30, and he came from a nominally poor family. His parents were hard-working people that would have differing ideas on the path that young Carl should take. His father was a man that believed in the hard work that came from working with your hands. As a bricklayer and a gardener, he did not put much stock in book-learning and hoped to have his son learn a trade.
He was rare among mathematicians in that he was a calculating prodigyand he retained the ability to do elaborate calculations in his head most of his life. Its significance lies not in the result but in the proof, which rested on a profound analysis of the factorization of polynomial equations and opened the door to later ideas of Galois theory.
His doctoral thesis of gave a proof of the fundamental theorem of algebra: Gauss later gave three more proofs of this major result, the last on the 50th anniversary of the first, which shows the importance he attached to the topic.
Foremost was his publication of the first systematic textbook on algebraic number theoryDisquisitiones Arithmeticae. This book begins with the first account of modular arithmeticgives a thorough account of the solutions of quadratic polynomials in two variables in integers, and ends with the theory of factorization mentioned above.
The second publication was his rediscovery of the asteroid Ceres.
Its original discovery, by the Italian astronomer Giuseppe Piazzi inhad caused a sensation, but it vanished behind the Sun before enough observations could be taken to calculate its orbit with sufficient accuracy to know where it would reappear. Many astronomers competed for the honour of finding it again, but Gauss won.
His success rested on a novel method for dealing with errors in observations, today called the method of least squares. Thereafter Gauss worked for many years as an astronomer and published a major work on the computation of orbits—the numerical side of such work was much less onerous for him than for most people.
Similar motives led Gauss to accept the challenge of surveying the territory of Hanoverand he was often out in the field in charge of the observations. The project, which lasted from toencountered numerous difficulties, but it led to a number of advancements.
Another was his discovery of a way of formulating the concept of the curvature of a surface. Gauss showed that there is an intrinsic measure of curvature that is not altered if the surface is bent without being stretched.
For example, a circular cylinder and a flat sheet of paper have the same intrinsic curvature, which is why exact copies of figures on the cylinder can be made on the paper as, for example, in printing.
But a sphere and a plane have different curvatures, which is why no completely accurate flat map of the Earth can be made. Gauss published works on number theory, the mathematical theory of map construction, and many other subjects.
Instead, he drew important mathematical consequences from this work for what is today called potential theoryan important branch of mathematical physics arising in the study of electromagnetism and gravitation.
Gauss also wrote on cartographythe theory of map projections. For his study of angle-preserving maps, he was awarded the prize of the Danish Academy of Sciences in Gauss also had other unpublished insights into the nature of complex functions and their integralssome of which he divulged to friends.
In fact, Gauss often withheld publication of his discoveries. For this to be the case, there must exist an alternative geometric description of space.
Rather than publish such a description, Gauss confined himself to criticizing various a priori defenses of Euclidean geometry.
It would seem that he was gradually convinced that there exists a logical alternative to Euclidean geometry. It is possible to draw these ideas together into an impressive whole, in which his concept of intrinsic curvature plays a central role, but Gauss never did this.
Some have attributed this failure to his innate conservatismothers to his incessant inventiveness that always drew him on to the next new idea, still others to his failure to find a central idea that would govern geometry once Euclidean geometry was no longer unique.
All these explanations have some merit, though none has enough to be the whole explanation. Another topic on which Gauss largely concealed his ideas from his contemporaries was elliptic functions.
He published an account in of an interesting infinite seriesand he wrote but did not publish an account of the differential equation that the infinite series satisfies. He showed that the series, called the hypergeometric series, can be used to define many familiar and many new functions.
But by then he knew how to use the differential equation to produce a very general theory of elliptic functions and to free the theory entirely from its origins in the theory of elliptic integrals.
This was a major breakthrough, because, as Gauss had discovered in the s, the theory of elliptic functions naturally treats them as complex-valued functions of a complex variable, but the contemporary theory of complex integrals was utterly inadequate for the task.
When some of this theory was published by the Norwegian Niels Abel and the German Carl Jacobi aboutGauss commented to a friend that Abel had come one-third of the way.
Gauss delivered less than he might have in a variety of other ways also. 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.
Johann Carl Friedrich Gauss (/ ɡ aʊ s /; German: Gauß (listen); Latin: Carolus Fridericus Gauss; 30 April – 23 February ) was a German mathematician and physicist who made significant contributions to many fields in mathematics and sciences. Carl Friedrich Gauss Carl Gauss was born in Braunschweig (commonly known as Brunswick) Germany. The date was April 30, and he came from a . Carl Friedrich Gauss () is considered to be the greatest German mathematician of the nineteenth century. His discoveries and writings influenced and left a lasting mark in the areas of number theory, astronomy, geodesy, and physics, particularly the study of electromagnetism.
A rare exception was when Lobachevsky was attacked by other Russians for his ideas on non-Euclidean geometry. In contrast, Gauss wrote a letter to Bolyai telling him that he had already discovered everything that Bolyai had just published.Carl Friedrich Gauss was the last man who knew of all mathematics.
He was probably the greatest mathematician the world has ever known – although perhaps Archimedes, Isaac Newton, and Leonhard Euler also have legitimate claims to the title. Carl Friedrich Gauss () is considered to be the greatest German mathematician of the nineteenth century.
His discoveries and writings influenced and left a lasting mark in the areas of number theory, astronomy, geodesy, and physics, particularly the study of electromagnetism.
Johann Carl Friedrich Gauss (/ ɡ aʊ s /; German: Gauß (listen); Latin: Carolus Fridericus Gauss; 30 April – 23 February ) was a German mathematician and physicist who made significant contributions to many fields in mathematics and sciences.
Gauss, Carl Friedrich (). The German scientist and mathematician Gauss is frequently he was called the founder of modern mathematics. His work is astronomy and physics is nearly as significant as that in mathematics.
Gauss was born on April 30, in Brunswick (now it is Western. The Prince of Math, Carl Friedrich Gauss, made contributions to a great variety of fields, not only mathematics. The following are some contributions Carl Gauss made: Gaussian beam, Gaussian binomial coefficient, also called Gaussian polynomial or Gaussian coefficient Gaussian blur, Gaussian bracket, Gaussian copula, Gaussian correlation .
Carl Friedrich Gauss Biography Astronomer, Scientist, Mathematician (–) Carl Friedrich Gauss was a German mathematician, astronomer, and physicist who published over works and contributed the fundamental theorem of initiativeblog.com: Apr 30,