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This tag is used if a reference is needed in a paper or textbook on a specific result.
23
votes
What are examples of (collections of) papers which "close" a field?
Did Bertrand Russell not close down Frege's programme of logic with his observation of Russell's paradox? In this case, a simple observation essentially shut down Frege's programme of research, thoug …
13
votes
2
answers
2k
views
Is there a solution of the Yamabe problem using Ricci flow?
Someone told me that it is possible to solve the Yamabe problem using Ricci flow. The proof I know of is the one originally proposed by Yamabe and then completed by Trudinger, Aubin and Schoen (in pa …
8
votes
Euler's Master's Thesis
As Franz says, it is impossible to know for definite which view the young Euler supported.
However, Newton had already disposed of the Cartesian vortex theory in the Principia which was published almo …
7
votes
What are your opinions on Zeidler's QFT books?
In general reading entire textbooks in QFT is not the best way to learn QFT (or any subject in science and mathematics). I have not heard of the books, but my guess is that they are not going to be a …
7
votes
Where can I create nice looking graphics for a paper?
For the purposes of what you describe in your question, I think Inkscape would probably be fine (it's quite good for drawing the type of 2D figure which you describe).
I have used TikZ before but it c …
5
votes
Accepted
Textbook suggestions for rigorous fluid dynamics
A few possibilities:
JC Robinson, JL Rodrigo, & W Sadowski (2016) Classical theory of the three-dimensional Navier-Stokes equations.
OA Ladyzhenskaya (1963) The mathematical theory of viscous incomp …
5
votes
1
answer
206
views
References for systems of elliptic PDEs
I was wondering if there were any recent references dealing with the theory of systems of elliptic PDEs: in particular, someone was telling me about something which sounded like 'Schur complementarity …
4
votes
Books that teach other subjects, written for a mathematician
There are many sources on general relativity for mathematicians (see, for example, the lecture notes of Schoen and the textbook Geometric Relativity by Dan Lee).
It's been a while since I read any che …
3
votes
2
answers
425
views
Proof of Isoperimetric Inequality using Curve Shortening Flow
I am aware that there is a nice result where one uses curve shortening flow to prove the isoperimetric inequality on the Euclidean plane, but could not seem to find the original article where this was …
3
votes
Famous cases of multiple papers by the same author published in same issue of same journal
This is a physics example rather than a mathematics example, but Albert Einstein did this many times. I believe on many occasions he in fact published multiple papers in the same issue of the same jo …
3
votes
0
answers
163
views
First reference to the Tits alternative
As we know, the "Tits alternative" is a theorem relating to finitely generated linear groups.
I was curious as to where in the literature the Tits alternative is first referred to by this name, as I …
3
votes
References for classical Yang-Mills theory
My personal suggestion is 'Differential Geometry, Gauge Theories, and Gravity' by M. Gockeler and T. Schucker. However, it assumes a fairly high degree of mathematical sophistication (it's one of the …
3
votes
Introductory text on geometric group theory?
For beginners 'A Course on Geometry Group Theory' by Brian Bowditch is nice although quite terse in places, but good for 'setting the scene'.
2
votes
Good overviews on $\phi^{4}$-field theory?
In terms of physical motivation of $\phi^4$, if I remember rightly the references in the introduction to this paper might have some pointers.
Dashen R and Neuberger H 1983 How to get an Upper Bound o …
2
votes
What is the best place to learn about the mathematical foundations of quantum mechanics?
Another possibility might be Mackey's Mathematical Foundations of Quantum Mechanics (Mackey obviously being an eminent researcher in functional analysis and noncommutative geometry).
A positive review …