Good mathematical writing, like good mathematics thinking, is a skill which must be practiced and developed for optimal performance. The purpose of this paper is to provide assistance for young mathematicians writing their first paper.
It has happened many times in the past, and I know of several cases today. I don't have time to offer a lot of personal advice and guidance, but I figured I'd post some general advice here. I've aimed it at people who think they've already solved famous problems, since those are the sort that typically write, but it should be equally useful for people with more modest aspirations.
I focus on the mechanics of how to do literature searches, write papers, and publish them, because I have less to say about the deeper issue of how to do research. None of this advice is specific to amateurs, but professionals already learn all these things from their advisors. Develop a track record If you appear out of nowhere claiming to have solved a famous open problem, nobody will pay any attention.
In principle you might be right, but many people claim to have Research paper on mathematicians this and virtually all of them are wrong. If you want anyone to take your work seriously, you need to develop a track record that separates you from the cranks.
The easiest way to do this is to publish some other papers. They don't have to be deep or profound, just to show that you can make a serious, uncontroversial contribution to an area some other mathematicians care about.
If you can't in fact do this, and all you can do is write controversial papers, then you should start worrying that you're deluding yourself about the quality of your papers. One common misconception is that other researchers have an obligation to evaluate your work, and that it's unprofessional and unfair of them to ignore it.
There's a kernel of truth in that, since once you've got a good track record and are circulating a clear manuscript your work shouldn't be entirely ignored it might still be reasonable to dismiss it as nonsense, if that happens to be the case.
However, it's ridiculous to argue that all proposed solutions to famous problems must either be accepted as true or be refuted to the satisfaction of the author. The mathematical community couldn't function under such a constraint.
Along the way to developing a convincing track record you'll most likely realize that your purported solution was incorrect or incomplete, but that's another side benefit.
Use standard terminology and language It's amazing how many people introduce their own terminology or notation, on the grounds that it's better than the existing options. That's usually debatable, but even when it's objectively true doing this will just make it less likely that anyone will actually read your work.
If you must introduce new notation, explain clearly how it is related to the standard notation. It's a database of virtually every published mathematical paper from the last fifty years, with brief reviews. Unfortunately a subscription is required, but you can access it at any college or university library.
They will likely have it on paper too, but that is harder to search. Using MathSciNet you can look up reviews of specific papers the reviews typically summarize the contentsfind all papers by a given author, search by topic, find papers whose titles or reviews include a certain word or phrase, find all reviews that refer to a certain paper, etc."Famous Mathematicians" Essays and Research Papers Famous Mathematicians Archimedes The greatest mathematicians of ancient era, Archimedes made phenomenal contribution in the field of mathematics.
It has long been debated between scientists in various fields whether the brain works on math problems using the same mechanism as it does when working out word problems, especially when the two. Important announcement. As of , International Mathematics Research Papers has been incorporated into International Mathematics Research lausannecongress2018.comiptions to IMRP are no longer available.
This site provides access to past issues of IMRP. Home > Mathematics > Dissertations, Theses, Research Papers. Mathematics, Department of Dissertations, Theses, and Student Research Papers in Mathematics. PhD candidates: You are welcome and encouraged to deposit your dissertation here, but be aware that 1) it is optional.
Mathematician Research Paper Objective: The purpose of this assignment is to acquaint students with the history of a famous mathematician and discover his/her.
How Does One Do Mathematical Research? (Or Maybe How Not To) Lee Lady Certainly the main result was quite nice, and the paper eventually led to quite a few subsequent papers by other mathematicians, but I was never all that thrilled by it myself, because I still basically agreed with Dave Arnold's judgment that almost completely.