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Results tagged with big-list
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user 6249
Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
2
votes
Undergraduate Probability Topics
I think you might find this MO topic interesting: Probabilistic Proofs of Analytic Facts , especially Bernstein's proof of the Weierstrass theorem.
48
votes
Most harmful heuristic?
"A continuous function is one you can draw without raising the pencil"
This has terrible disadvantages when generalizing functions defined on a real interval to non connected sets, non compact sets a …
2
votes
The best text to study both incompleteness theorems
If you can read Spanish, an excellent text which both formally proves and philosophically treats both Incompleteness theorems is Carlos Ivorra Castillo's "Lógica y teoría de conjuntos" which is freely …
2
votes
Alternative undergraduate analysis texts
There's Yeh's Theory of Measure and Integration which covers almost everything Folland does, but in a (really) verbose fashion.