Tagged Questions
6
votes
0answers
184 views
A curious theorem by Peano
Let $f$ be defined on $[a,b]$ and there differentiable.
Show that for every $ \epsilon>0 $ there exists a partition $\, a=a_0<a_1<...<a_n=b \,$ of $ \,[a,b] \,$ so that $$\left|\frac ...
0
votes
1answer
112 views
Is there a analysis conjecture proven to be unprovable or a proof is non-existence?
Is there a analysis conjecture proven to be unprovable or a proof is non-existence?
So, is it once a math history milestone
12
votes
4answers
864 views
Difference between calculus and analysis
It's somthing I always want to figure out, when did calculus start to be extended to analysis(I reformulate the question, the previous one"where one can draw a line to distinguish calculus and ...
8
votes
1answer
272 views
Riemann's thinking on symmetrizing the zeta functional equation
In the translated version of Riemann's classic On the Number of Prime Numbers less than a Given Quantity, he quickly derives the zeta functional equation through contour integration essentially as
...
6
votes
1answer
241 views
How much of Stirling is in Stirling's formula?
This is a naive question about history.
My understanding is that Stirling's formula or something trivially equivalent to it first appeared in an early edition of Abraham de Moivre's book The Doctrine ...
5
votes
4answers
278 views
History of analysis?
Any sites detailing the history of analysis post 1820 (to mid 1900s?) - vis-à-vis Cauchy, Weierstrass, Riemann, Bolzano, ..., Kuratowski, Hilbert?
It's something that appears quite interesting and I ...
30
votes
5answers
2k views
How hard is the proof of $\pi$ or e being transcendental?
I understand that $\pi$ and e are transcendental and that these are not simple facts. I mean, I have been told that these results are deep and difficult, and I am happy to believe them. I am curious ...
