Questions tagged [gauss]

The tag has no usage guidance.

11 questions with no upvoted or accepted answers
Filter by
Sorted by
Tagged with
5
votes
0answers
157 views

What was Gauss's theoretical work related to his invention of the “Double-Gauss lens”?

Gauss's contributions (Dioptriche Untersuchungen, 1840) to the "classical" optical theory (Gaussian optics, i.e calculations made under the paraxial approximation) are well known, but long before he ...
4
votes
0answers
93 views

Question about the significance of “Gauss-Legendre quadrature”

I want to understand why, according to several sources, Gauss's discovery of Gaussian quadrature in his 1814 article was "the most significant event of the 19th century in the field of numerical ...
4
votes
0answers
216 views

Entry in Gauss' Mathematisches Tagebuch (Mathematical Diary)

Does someone have a reference or further explanation on Gauß' entry from May 24, 1796 in his mathematical diary (Mathematisches Tagebuch, full scan available via https://gdz.sub.uni-goettingen.de/id/...
3
votes
0answers
95 views

What are the context and motivation for Gauss's study of the “Pothenot problem”?

My question refers to p.307-335 of volume 8 of Gauss's werke, which are part of a section of volume 8 which deals with Gauss's applications of complex numbers for geometry. The pages mentioned are ...
2
votes
0answers
115 views

Reference request for some fragments of Gauss with dubious origin

Gauss's results on the interconnection between the different values of the arithmetic-geometric mean of two complex numbers as recorded in his private notebooks led him to introduce foundational ...
2
votes
0answers
112 views

Interpretation of a short note of Gauss on the resolution of a special system of inhomogeneous linear equations by roots of unity

My question refers to a 2-pages fragment of Gauss, entitled: "Note on the resolution of a special system of linear equations", which is found on pages 30-31 of volume 8 of his works. In this ...
1
vote
0answers
111 views

Question about the meaning of an important footnote to entry 109 in Gauss's diary

Entry 109 in Gauss's diary (and the related material in Gauss's Nachlass) is the main subject of David Cox's famous article "The Arithmetic-Geometric mean of Gauss". This entry deals with ...
1
vote
0answers
112 views

Two questions about Gauss's contributions to capillarity and the calculus of variations

In the last page of the abstract of Gauss's paper on capillarity "Principia generalia theoriae figurae fluidorum in statu aequilibrii" (1829), the author (who is he?) mentions (Gauss's werke, volume V,...
0
votes
0answers
46 views

Any historical work on the distribution of prime gaps?

I am looking to see whether historic mathematicians did any work to explain the slightly unexpected distribution of prime gaps? I would have expected Gauss, who studied lists of primes and proposed a ...
0
votes
0answers
67 views

How did Gauss and Lagrange derive Gauss law of Electrostatics

On Wikipedia, these two pages are mentioned :Lagrange and Gauss however I am an English speaker and can not comprehend any of the one, can someone provide the translated pages or shortly their line of ...
0
votes
0answers
163 views

It is believed by many that Galois penned down his ideas in a letter to his friend the day before his

It is believed by many that Galois penned down his ideas in a letter to his friend the day before his death. He even asked his friend to take that letter to the great Gauss ; not to verify its ...