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Results tagged with soft-question
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user 29316
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.
0
votes
Journals for undergraduates
In Mathematics 4 Maryams you can find hundred years of Iranian expository mathematics magazines. They are all in Farsi. But, even with no knowledge of Farsi, you can literally see the extraordinary di …
4
votes
Examples of conjectures that were widely believed to be true but later proved false
The longest-standing one of the sort is the "conjecture" that the parallel postulate can be proved using Euclid's first four postulates. I know that it is a far-fetched understanding of "conjecture". …
5
votes
Pseudonyms of famous mathematicians
I guess, though I am not sure, the case of Albert Wormstein falls in your third category:
Professional mathematicians writing mathematics under both their real name and a pseudonym.
This paper: " …
10
votes
Most intriguing mathematical epigraphs
If we read Frege's Grundlagen der Arithmetik from the end, the following note in the appendix would be the most courageous of epigraphs all.
A scientist can hardly meet with anything more undesi …
16
votes
Parodies of abstruse mathematical writing
The following is somehow a parody of "proof by contradiction" with an obvious educational purpose taken from the book "The Foundation of Mathematics" written by Ian Stewart and David Tall:
COMEDI …
2
votes
Favorite popular math book
Title: Prisoner's Dilemma
Author: William Poundstone
Short description (from New York Times Book Review): The real originality of PRISONER'S DILEMMA lies in its colorful synthesis of logical materi …
55
votes
18
answers
9k
views
How can an extremely mathematically talented young person be helped to fulfill his/her poten...
Obviously, this question is not a research level mathematics question at all. But, I've just met an extremely mathematically talented $11$ years old student and I don't know how I can help him. For ye …
2
votes
Good papers/books/essays about the thought process behind mathematical research
This less known paper of H. WHITNEY is a joy to read: Letting research come naturally. Just to make you curious, here is the opening of the paper:
The purpose of this paper is to show that creati …
34
votes
6
answers
3k
views
Does seeing beyond the course you teach matter? The case of linear algebra and matrices
This question is indeed very important for me. Thus I hope you bear with my subjective explanations for a few minutes. I am an "excellent" lecturer, at least according to course evaluation forms fille …
11
votes
Review papers in mathematics
For a "newcomer", perhaps "The Princeton Companion to Mathematics" would be a good start.
4
votes
4
answers
2k
views
When did you "meet Polya"? [closed]
I guess most of us didn't meet Polya in person (this is the answer to the title)! Perhaps, it is much easier to guess that most of us have met one of his writings (or alike) on problem solving, and i …
2
votes
What are some examples of mathematicians who had an unconventional education?
Hermann Grassmann is a notable example.
Grassmann was an undistinguished
student until he obtained a high mark
on the examinations for admission to
Prussian universities. Beginning in
1827 …
6
votes
An example of a beautiful proof that would be accessible at the high school level?
Here is one that I like and used it for different purposes, e.g. introduction to proofs, algebraic thinking, beauty, and so one. Shuffle a deck of cards. Divide it into two halves. Magic: The number o …
5
votes
Magic trick based on deep mathematics
This is a trick that I designed years ago and I have used it in many different occasions for amusement only or educational purpose or both. It is indeed the finial difference method to find a polynomi …
2
votes
Learning through guided discovery
You may find this one interesting: Number Theory Through Inquiry (MAA textbooks). I have used it three times. First time, which I strictly followed the method, we just coverd the first four chapters. …