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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.
10
votes
Casual tours around proofs
John Stallings's article "How Not To Prove The Poincare Conjecture", available here
http://math.berkeley.edu/~stall/ walks us through 4 conjectures - with implications between each - which would prove …
8
votes
Interesting mathematical documentaries
"Achever l'inachevable" or "Achieving the Unachievable" features many mathematicians discussing M.C. Escher's Print Gallery, most of the material coming from the Notices article here.
7
votes
What kid-friendly math riddles are too often spoiled for mathematicians?
The book "1000 Play Thinks" by Ivan Moscovich contains up to 1000 of these, depending on your background. It is an absolute delight - large pages, full-coloured and playfully illustrated by Tim Robins …
6
votes
When has pure mathematics been influenced by the social context of mathematicians?
Certainly probability falls under this scope. Cardano's secretive work on the subject was done to help him in his professional gambling career. Soon after that, Pascal and Fermat worked out the notion …
4
votes
Short Course Suggestions For High School Students
Serge Lang's book "Math Talks for Undergraduates" (Springer, 1999) has quite a few topics which will work for anyone with some calculus. Topics include symmetric polynomials, approximation theorems in …