# Questions tagged [mathematics]

For questions about the quantitative study of topics such as numbers, structure, space, and change, carried out by investigating patterns

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### Poincaré's definition of mathematics (?)

Poincaré is said to have given this definition of mathematics: It is the art of giving the same name to different objects. I can not believe this quote is from Poincaré. Did Poincaré really say this? ...
1 vote
102 views

### The origin and use of the term "equianharmonic" (elliptic function)

In Weierstrass notation, the principal elliptic function $\wp$ is a solution of the differential equation $$(\wp')^2= 4\wp^3 -g_2\wp -g_3.$$ The case when $g_3=0$ is called lemniscatic (it ...
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### Influence of Edmund Landau's list of four problems

At the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime numbers: Goldbach's conjecture, the twin prime conjecture, Legendre's conjecture (that there ...
1 vote
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### Why are the symbols E, F, G, L, M, and N used for the coefficients of the fundamental forms?

In differential geometry, if $e_1$ and $e_2$ are bases for a tangent space $T_pM$, then the coefficients of the first fundamental form is: \begin{align}E&:=\left<e_1,e_1\right>\\F&:=\...
114 views

### When did ordered pairs first appear?

I am interested in the history of the ordered pair. When did ordered pairs as a concrete object, not necessarily defined in terms of sets, appear in a mathematical or logical setting? The definition ...
180 views

### What mathematical expressions took a long time for a closed form to be found?

The Basel problem, $\sum_{n=1}^\infty{\frac{1}{n^2}}$, took 90 years for a closed form, $\frac{\pi^2}{6}$, to be found. I'm curious to know what other mathematical expressions, especially those ...