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Results tagged with soft-question
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user 78
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.
138
votes
Accepted
What is Quantization ?
As I'm sure you'll see from the many answers you'll get, there are lots of notions of "quantization". Here's another perspective.
Recall the primary motivation of, say, algebraic geometry: a geometr …
- 54.6k
62
votes
How to respond to "I was never much good at maths at school."
well someone has to make the sudoku puzzles http://spikedmath.net/comics/033-why-math.png
37
votes
Intuition behind the definition of quantum groups
Here is an answer to question (1). I recommend that you split of question (2) as a separate question.
Define the quantum plane to be the "spectrum" of the noncommutative ring $\mathbb K\langle x,y\r …
- 54.6k
35
votes
Examples of great mathematical writing
Proofs from the Book, Martin Aigner, Günter M. Ziegler, 2000.
Anyone in [mathematics] who hasn't read this [book] has led an impoverished existence.
31
votes
A single paper everyone should read?
One paper that I want to share with any of my colleagues, although it is not in my field, is Doyle and Conway, Division by Three, math/0605779v1.
To emphasize why this paper is so great, let me quote …
21
votes
Examples of seemingly elementary problems that are hard to solve?
I will list two very hard problems in linear algebra, that are in fact closely related.
Recall that the cross product of vectors in $\mathbb R^3$ is not associative, and so if I write $v_1 \times v_ …
18
votes
Favorite popular math book
Title: The Symmetries of Things
Authors: John Horton Conway, Heidi Burgiel, and Chaim Goodman-Strauss
Description: The authors begin by introducing the general concept of geometric symmetry / regu …
17
votes
When and why did the postdoctoral position originate?
In know that there is some variation among fields for when post-docs became popular. My understanding is that the "post-doc" institution as a whole began around the beginning of the last century, but …
17
votes
Accepted
Convenient definition of "category of Riemannian manifolds"?
I'm sure the answer to your question is "it depends on the application". Here are three categories that come to (my idiosyncratic) mind.
Perhaps the most general category in the direction you're loo …
- 54.6k
16
votes
What is a symplectic form intuitively?
Incidentally, I more or less disagree that symplectic geometry captures what I would consider "classical mechanics". The reason is that in all the examples that I think deserve to be called "classica …
- 54.6k
16
votes
Are there any good websites for hosting discussions of mathematical papers?
I'm pretty sure the answer to the question as asked is "No". At present there does not seem to exist a unique web location dedicated to discussing each individual mathematical article.
It would be t …
13
votes
Journals for undergraduates
MAA's Mathematics Magazine is a reasonable expository journal.
13
votes
Accepted
On mentioning recommenders' names in cover letter for postdoctoral applications
I have made my answer CW, because I believe the question should be.
My answer should carry very little weight, because I have never served on a postdoc committee: I am in my final months as a graduat …
11
votes
Discovering and selecting conferences
Preamble: I am a graduate student at a large program, about to start a postdoc, so I can speak about what has worked for me at the (hopefully) beginning of my career.
One thing I do occasionally is t …
10
votes
Making sure that you have comprehended a concept
You cannot, because you never will. There is always more to understand about any given topic.