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Results tagged with soft-question
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user 4281
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.
2
votes
What subfields of mathematics better lend themselves to visualization?
To start with something of an anti-answer, when I took courses in algebra (not linear algebra - I mean groups, rings, modules etc.) or representation theory as an undergraduate, I found it practically …
138
votes
Most harmful heuristic?
Along the same lines as Qiaochu's and Zach's responses, the commonly taught heuristics pertaining to functions, differentiability and integration are a pet hate of mine.
I certainly left school think …
8
votes
What is the definition of "canonical"?
I would say that "canonical" ought to be used to describe when no choices have been made.
A nice example of a non-canonical identification: A principal bundle is made up of principal homogeneous spac …
6
votes
Which book would you like to see "texified"?
Leon Simon - Lectures on Geometric Measure Theory
71
votes
Mathematical habits of thought and action which would be of use to non-mathematicians
This is really just an extension of James D. Taylor's comment on the question, but recognizing the value of definitions, and the inherent ambiguity without them, is ridiculously helpful.
Define your …
13
votes
Why should one still teach Riemann integration?
Although not a direct answer to the question, this may be relevant to the discussion:
I learnt basic measure theory and the theory of Lebesgue integration in a course called "Probability and Measure" …