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Results tagged with soft-question
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user 25510
Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
9
votes
Accepted
Is a particular type of question about certain infinite sets still being asked?
Here is a question of classical function theory of this sort. Let $f$ be an entire function
of one variable. Consider all factorizations $f=g\circ h$ where $g$ and $h$ are entire.
Two factorizations $ …
- 91.8k
4
votes
How to decide whether the journal is pure or applied?
For a beginning mathematician, the best advice is to follow the adviser's recommendation in the journal choice. Considering the reputation of a journal, there are many ratings, for example, Mathscinet …
- 91.8k
3
votes
Research in topology for a master student
For your first research problem, I recommend that you find an adviser in your department.
If there is no algebraic topologist in your department, find some other adviser, and
ask to suggest an interes …
- 91.8k
11
votes
A global mathematics library
On my opinion, 2-5 are non-realistic (and hardly needed), while 1 is indeed desirable and important. To be sure, a substantial progress was made in the recent years towards 1. But it still remains a r …
- 91.8k
19
votes
Example of a Mathematician/Physicist whose Other Publications during their PhD eclipsed thei...
Gauss defended his PhD in 1799. The topic was the proof of the Fundamental Theorem of algebra. But in 1798 he wrote Disquistiones Arithmeticae laying the foundation of modern number theory (published …
1
vote
Examples of Mathematicians who excelled in Pure and Applied Mathematics
Examples? Almost all great mathematicians before the middle of 19th century, beginning from Euclid (who wrote not only the Elements but also a book on Optics and another on Astronomy):
Archimedes, Apo …
5
votes
How do you check that your mathematical research topic is original?
If you just started your graduate study, you probably have an adviser. If you don't have one yet, try to find one as soon as possible. Anyway, in most universities that I now an adviser is required to …
15
votes
Reading Papers in a Language you don't Speak
When I met my adviser for the first time, he gave me some math papers to read. This was in 1971;
personal computers did not exist yet, not speaking of Google translate:-) We spoke in Russian with my a …
33
votes
Diplomacy when reporting errors
Of course, reporting an error benefits the author, so I advise to write to him/her. A polite form is: Dear X, I am reading your interesting paper Y, and I have difficulty in understanding why A implie …
56
votes
How can a mathematician handle the pressure to discover something new?
I can share my own experience: similar considerations always disturbed me too.
To deal with this, I always considered mathematics research as a hobby. From the very beginning I thought that my main jo …
31
votes
How many mathematicians are there?
I am surprised that nobody mentioned the Math Reviews authors database.
Currently it has about 650000 authors.
I suppose that about 50% of them are dead, which gives an estimate of 300-400 K
living m …
47
votes
When is one 'ready' to make original contributions to mathematics?
Mathematics is not learned by reading books. One becomes a research mathematician by solving problems. Most people need an adviser to recommend a good problem. Then you start thinking and reading what …
3
votes
Most papers ever "recalled" due to a flawed result?
I would risk to state that in mathematics such things (on large scale) do not happen:-) There are indeed some published and "accepted" false proofs, and
false statements. The link given in the commen …
6
votes
Accepted
Early examples of problems that are easier in high dimension
Desargues theorem. Suppose you have two triangles $(A,B,C), (A',B',C')$ in the plane such that the lines $AA'$, $BB',\; CC'$ intersect at one point. Then the three points of intersection $AB\cap A'B'$ …
- 91.8k
6
votes
What are some examples of mathematicians who had an unconventional education?
I read 14 previous answers and did not find the most evident example: Ramanujan:-)