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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.
12
votes
Cocktail party math
There are some good ones in topology (or maybe I just know these examples because it's my field).
People always seem to think the hairy ball theorem (already mentioned) is interesting because it ex …
13
votes
7
answers
35k
views
Real analysis has no applications?
I'm teaching an undergrad course in real analysis this Fall and we are using the text "Real Mathematical Analysis" by Charles Pugh. On the back it states that real analysis involves no "applications t …
12
votes
4
answers
1k
views
Cite articles or book where I first found the result?
I'm writing up a paper and I'm not sure how to cite a few things. It concerns a conjecture made by Quillen. Some work has been done showing it's true in some cases, false in others. These results I fo …
49
votes
11
answers
8k
views
Cures for mathematician's block (as in writer's block) [closed]
What kind of things do you find that help you get the "creative juices flowing," to use a tired cliche, when you're stuck or burnt out on a problem? I've read about some studies that suggest listening …
4
votes
Textbook recommendations for undergraduate proof-writing class
A "book" that satisfies all of your criteria is a set of notes from the Journal of Inquiry Based Mathematics called "Introduction to Proof" by Ron Taylor. linky
The chapters are
Symbolic Logic
Pr …
8
votes
4
answers
583
views
Examples of the varying strengths of topological invariants
In my first algebraic topology class, I remember being told that the simplest reason for homology was to distinguish spaces. For example, if is X=circle and a Y= wedge of a circle and a 2-sphere then …