Questions tagged [gauss]
Carl Friedrich Gauss (1777-1855) was a German mathematician and physicist who worked in number theory, analysis, differential geometry, geodesy, magnetism, astronomy and optics. His contributions were immense.
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Were there any criticisms of his first FTA proof during Gauss's lifetime?
According to several papers related to Gauss' FTA proof, in the first proof he said, “It seems to be well demonstrated that an algebraic curve neither ends abruptly (as it happens in the ...
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Why is the Mean Value Theorem (of holomorphic functions) called "Gauss's"?
A handy special case of the Cauchy Integral Formula says that, if a complex function $f$ is analytic on and inside a circle of radius $r$ around $a$,
$$f(a) = \frac{1}{2\pi}\int_0^{2\pi} f(a +re^{it}) ...
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Did Gauss ever explicitly claim ordinary least squares as his own?
I have seen Gauss claim in certain literature that he had been using the principle of least squares even before Legendre defined it. (It was probably a document calculating the orbit of the asteroid ...
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What did Gauss think about infinite?
Did Gauss think that the size of infinite was incomparable?
Or did he leave some opinions about infinity or infinitesimals?
Did he have any letters or unpublished research materials that can tell us ...
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Is Gauss’ nickname really ‘The Prince of Mathematics’?
As far as I know, Gauss's nickname comes from the phrase GEORGIVS V REX HANNOVERAE MATHEMATICORVM PRINCIPI, which was the phrase on the medal the King of Hanover awarded Gauss after his death.
I ...
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Gauss has proven FTA several times. Are any of Gauss's FTA proofs considered rigorous in modern mathematics?
Gauss has proven FTA several times. Are any of Gauss's FTA proofs considered rigorous in modern mathematics?
Or is it that, despite many proofs, there is not a single one that can be considered modern ...
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Is Gauss's 1849 proof of the fundamental theorem of algebra a rigorous proof
even by the standards of modern mathematics? Or are there some mistakes or errors?
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An unpublished calculation of Gauss and the icosahedral group
According to p.68 of Paul Stackel's essay "Gauss as geometer" (which deals with "complex quantities with more than two units") , Gauss calculated the coordinates of the vertices of ...
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How did "Gauss's law" get its name?
Did Carl Friedrich Gauss derive Gauss's law? How did the Maxwell equation we call "Gauss's law" become known as that? In class, we went over how you derive it from Coulomb's law, but I don't ...
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Looking for a letter written by Gauss in which he remarks that he has worked very hard on mathematics
In my memory, I once read a letter that Gauss wrote to a friend or acquaintance in which he remarks something along the following lines---if people worked on mathematics as much as I did, they would ...
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Who "made" Gauss?
I was looking at the math genealogy related to probabilities and there was pretty much a straight line going from Kolmogorov to Laplace.
Then I got to Markov's sequence which gets a bit messy:
Markov -...
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Reconstruction of the details of Gauss-Weber "thermogalvanic chain"
In the physicist chapter of Gauss's bio on encyclopedia.com appears the following statement about Gauss-Weber's unpublished correspondence:
Stimulated by Faraday’s discovery of induced current in ...
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What did Gauss think about V. A. Lebesgue's proof of quadratic reciprocity?
The proof can be found here (pdf). It was published in 1838 and Gauss lived until 1855, so I would guess that he read it. Did Gauss say anything about it?
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How did Gauss determine the number of primes?
In Brian Conrey's article on Riemann's hypothesis, one reads in the very beginning:
On Christmas Eve 1849 Gauss wrote a letter to his former student Encke
in which he described his thoughts about the ...
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Relationship between electromagnetic and topological invariant
I read 17 equations that changed the world by Ian Stewart. This book provides information about the correlation between electromagnetic force and topological invariant.
The idea of a topological ...
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