Sometimes referred to as the Princeps mathematicorum ( Latin, " the Prince of Mathematicians " or " the foremost of mathematicians ") and " greatest mathematician since antiquity ", Gauss had a remarkable influence in many fields of mathematics and science and is ranked as one of history's most influential mathematicians.

This was a major discovery in an important field of mathematics ; construction problems had occupied mathematicians since the days of the Ancient Greeks, and the discovery ultimately led Gauss to choose mathematics instead of philology as a career.

Though Gauss had up to that point been financially supported by his stipend from the Duke, he doubted the security of this arrangement, and also did not believe pure mathematics to be important enough to deserve support.

The method had been described earlier by Adrien-Marie Legendre in 1805, but Gauss claimed that he had been using it since 1795.

His friend Farkas Wolfgang Bolyai with whom Gauss had sworn " brotherhood and the banner of truth " as a student, had tried in vain for many years to prove the parallel postulate from Euclid's other axioms of geometry.

Gauss eventually had conflicts with his sons.

They had an argument over a party Eugene held, which Gauss refused to pay for.

Mathematical historian Eric Temple Bell estimated that, had Gauss published all of his discoveries in a timely manner, he would have advanced mathematics by fifty years.

This method ( and the general idea of an FFT ) was popularized by a publication of J. W. Cooley and J. W. Tukey in 1965, but it was later discovered ( Heideman & Burrus, 1984 ) that those two authors had independently re-invented an algorithm known to Carl Friedrich Gauss around 1805 ( and subsequently rediscovered several times in limited forms ).

By the 1830s mathematics, physics, chemistry, and biology had emerged with world class science, led by Alexander von Humboldt ( 1769 – 1859 ) in natural science and Carl Friedrich Gauss ( 1777 – 1855 ) in mathematics.

He had not visited Gauss in Göttingen and he had not published anything in Paris.

" It is difficult historically to attribute that law to Gauss, who in spite of his well-known precocity had probably not made this discovery before he was two years old.

The other one was published by Gauss in 1799 and it was mainly geometric, but it had a topological gap, filled by Alexander Ostrowski in 1920, as discussed in Smale 1981 ( Smale writes, "... I wish to point out what an immense gap Gauss ' proof contained.

Gauss mentioned to Bolyai's father, when shown the younger Bolyai's work, that he had developed such a geometry several years before, though he did not publish.

In 1895, von Neumayer had established the German Commission for South Polar Exploration, which culminated in the First German Antarctica Expedition in 1901, the so-called Gauss expedition.

Carl Friedrich Gauss wrote a famous paper on the dynamics of an asteroid in his early 20s, which certainly had a European vogue, and was appointed to a chair partly on the strength of this result.

By the 1830s mathematics, physics, chemistry, and biology had emerged with world class science, led by Alexander von Humboldt ( 1769 – 1859 ) in natural science and Carl Friedrich Gauss ( 1777 – 1855 ) in mathematics.

Especially, Gauss had looked at the case of imaginary quadratic fields: he found exactly nine values of < math > D < 0 </ math > for which the ring of integers is a PID and conjectured that there are no further values.

Riemann later named this approach the Dirichlet principle, although he knew it had also been used by Gauss and by Lord Kelvin.

Also, the application of the theories of Carl Friedrich Gauss to magnetic observations showed that Earth's magnetic field had an internal, rather than external, origin.

When the matter of honorary degrees came up at the University of Göttingen six years after Germain's death, Gauss lamented, “ proved to the world that even a woman can accomplish something worthwhile in the most rigorous and abstract of the sciences and for that reason would well have deserved an honorary degree.

Of all of Gauss ' children, Wilhelmina was said to have come closest to her father's talent, but regrettably, she died young.

* 1777 – Carl Friedrich Gauss, German mathematician ( d. 1855 )

The introduction of simple auxiliary terms, due to C. F. Gauss ( Dioptrische Untersuchungen, Göttingen, 1841 ), named the focal lengths and focal planes, permits the determination of the image of any object for any system ( see lens ).

It was based on an earlier code developed by Carl Friedrich Gauss and Wilhelm Weber in 1834.

Johann Carl Friedrich Gauss (;, ) ( 30 April 177723 February 1855 ) was a German mathematician and physical scientist who contributed significantly to many fields, including number theory, statistics, analysis, differential geometry, geodesy, geophysics, electrostatics, astronomy and optics.

Carl Friedrich Gauss was born on 30 April 1777 in Braunschweig ( Brunswick ), in the Duchy of Braunschweig-Wolfenbüttel, now part of Lower Saxony, Germany, as the son of poor working-class parents.

Gauss would later solve 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.

Gauss was a child prodigy.

While at university, Gauss independently rediscovered several important theorems ; his breakthrough occurred in 1796 when he showed that any regular polygon with a number of sides which is a Fermat prime ( and, consequently, those polygons with any number of sides which is the product of distinct Fermat primes and a power of 2 ) can be constructed by compass and straightedge.

Gauss was so pleased by this result that he requested that a regular heptadecagon be inscribed on his tombstone.

The year 1796 was most productive for both Gauss and number theory.

In his 1799 doctorate in absentia, A new proof of the theorem that every integral rational algebraic function of one variable can be resolved into real factors of the first or second degree, Gauss proved the fundamental theorem of algebra which states that every non-constant single-variable polynomial with complex coefficients has at least one complex root.

Gauss also made important contributions to number theory with his 1801 book Disquisitiones Arithmeticae ( Latin, Arithmetical Investigations ), which, among things, introduced the symbol ≡ for congruence and used it in a clean presentation of modular arithmetic, contained the first two proofs of the law of quadratic reciprocity, developed the theories of binary and ternary quadratic forms, stated the class number problem for them, and showed that a regular heptadecagon ( 17-sided polygon ) can be constructed with straightedge and compass.

Gauss, who was 23 at the time, heard about the problem and tackled it.

In this work Gauss used comprehensive approximation methods which he created for that purpose.

While this method is traditionally attributed to a 1965 paper by J. W. Cooley and J. W. Tukey, Gauss developed it as a trigonometric interpolation method.

In 1818 Gauss, putting his calculation skills to practical use, carried out a geodesic survey of the Kingdom of Hanover, linking up with previous Danish surveys.

Hell, I gave him the first decent job he ever had, six, seven -- how many years ago was it, Rob ''??

Blue Throat, who had ruled the town with his six-shooter for the last six months, certainly had no intention of relinquishing his profitable dictatorship.

The fighting marshal had walked right into a trap and at any moment six slugs might slam into his hide.

Airless and dingy though it was, the attic represented luxury to a slave who had led a wretched life with six brothers and sisters and assorted relatives in a shanty at Bayou St. John.

By the age of six young Johnny indicated that he had the call.

By September 1940 the Suite had developed into a collection of six songs, `` four spirituals, a dream, and a lullaby ''.

That fall he submitted to Professor Baker the first acts and outlines of the following acts of several plays, six of them, according to some of his associates, and he also worked on a play that he first called Niggertown, the material for which he had collected during the summer at home.

Moreover, he had spent six months on the Galapagos islands, among the great turtles that Captain Cook had found there, and now and then he would disappear into some small island of the West Indies.

His reading ranged from Agatha Christie to The Book Of Job and he had an insatiable interest in his fellow-creatures, while his letters were full of gossip about new politicians and old men of letters with whom he had been intimately thrown six decades before.

`` For six years my father had had to do too much commanding and convincing, '' writes the narrator, `` not to understand that man begins with ' the other ' ''.

But when some of the squeals had subsided and she had been through one of those sessions that are so indispensable to the young female -- six girls sprawled on one bed, drinking Cokes and giggling -- she came back to the kitchen to talk with me a minute.

My first thought was how had it happened so soon, but I counted back on my fingers and sure enough we'd been living together six weeks.

All in all, they had six drinks.

he rose at half-past six every morning, made himself some French coffee, had his corn flakes and more coffee, smoked four cigarettes while reading last Sunday's Herald Tribune and yesterday's Pittsburgh Gazette, then put on his high-topped farmer's shoes and walked under a vine bower to his workshop.

he had helped fight an oil-well fire that raged six days and nights.

Nothing in all the preceding years had had the power to bring me closer to a knowledge of profound sorrow than the breakup of camp, the packing away of my camp uniforms, the severing of ties with the six or ten people I had grown most to love in the world.

So with four complete Push-Pull Super-Sets No. 1, four of No. 2, four of No. 3 and four to six sets of the Incline Bench Press, you can see that Henri De Courcy has had a terrific mass-building, muscle-shaping, torso-defining workout that cannot be improved upon.

Hans Schweizer had one that increased from 19-1/2 inches to 5 feet 3 inches in five years, and J. J. Quelch records a growth of from less than 4 feet to nearly 10 in about six years.