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Questions about mathematics which don't fall into the other arXiv categories. If you have a general question about mathematics but it is not research level, it's off-topic but it might be welcomed on Mathematics Stack Exchange.
5
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Books containing new results
This is a physics example and I think the first edition was in 1995, but if I remember rightly there are some important results derived in Weinberg's textbook The Quantum Theory of Fields: Volume I. …
17
votes
What do you do when you're stuck?
The only generic advice that can be offered here is that deciding what to do in this situation is quite a difficult skill, but one that you are expected to develop as a PhD student. You ultimately mig …
5
votes
Is amateur research in mathematics viable?
Even most low-grade office jobs outside of academia these days are surprisingly high pressure and stressful. Your performance is constantly monitored and analysed. I would be surprised if jobs in indu …
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Small ideas that became big
Another possibility could be the problem of the brachistochrone, a famous but one might think relatively innocent problem, which then led to the development of the calculus of variations.
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Each mathematician has only a few tricks
Tao has recently submitted a preprint on exactly this topic in the case of the mathematician Jean Bourgain. The tricks in question are quantification of qualitative estimates, dyadic pigeonholing, ra …