Accidentally Discovering Something Mathematical: How to Publish?

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Discovering something mathematical by accident raises questions about the publication process for amateurs. While it's possible for non-experts to make significant discoveries, the standards for publication in mathematical journals are high, requiring technical and stylistic proficiency. Submitting a paper typically involves peer review, where knowledgeable referees assess its suitability. Engaging with a local mathematics professor can provide valuable guidance and feedback before attempting to publish. Ultimately, while accidental discoveries can be intriguing, navigating the publication landscape requires careful preparation and understanding of academic standards.
rad0786
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Hey,
This is a very random question.

Let's say, that a regular person who dosn't know very much about math just *HAPPENS* to stumble upon something mathematical and unheard off... and works a little bit on it...

Cases like these are not unheard off...many inventions and/or discoveries happened by accident.

So, if somebody happens to find something mathematical by accident and has no idea how to write it up in a proper publishable way...then how would the person get it published?

Do they just write it up as best as they could and submit it to a Journal?

See... I told you it was completely random!
 
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If you don't know much about math and "stumble upon something mathematical and unheard of" then you should (a) listen more carefully and (b) learn more about math and what others have done.

Also, your expression "something mathematical" is way too vague to be meaningful. Last week, I saw four digits in the closing Dow-Jones Industral Average that represented my telephone number in reverse. That's "something mathematical" but I'm surely not about to get it published or to even try.

Perhaps you would care to elaborate on your "discovery?"
 
Oh yeah... that's true...

Tide said:
Perhaps you would care to elaborate on your "discovery?"

I don't have a discovery, I was just asking out of general curiosity...

You are very right that if somebody happens to discover something new in mathematics is very unlikely...but I was just curious on how stuff gets published and out their...
 
I've never published in a (real) mathematical journal but I suppose it's similar to physics publications. Generally, you submit your paper to the editor and if he/she deems it suitable then the manuscript gets sent out to a number of referees for peer review. If they recommend publication then the paper will be published (page charges often apply).

However, your manuscript had better pass muster because the standards (technically, stylistically, etc.) are quite high. Your work will be judged by highly competent and knowledgeable people in the field who have little patience for amateurs "stumbling upon something mathematical and unheard of."
 
Probably the best thing such a person could do would be to discuss it with a local mathematics professor. (Ramanujan and Hardy come to mind- although I wouldn't say Hardy was "local" to Ramanujan!)
 
Tide said:
I've never published in a (real) mathematical journal but I suppose it's similar to physics publications. Generally, you submit your paper to the editor and if he/she deems it suitable then the manuscript gets sent out to a number of referees for peer review. If they recommend publication then the paper will be published (page charges often apply).

However, your manuscript had better pass muster because the standards (technically, stylistically, etc.) are quite high. Your work will be judged by highly competent and knowledgeable people in the field who have little patience for amateurs "stumbling upon something mathematical and unheard of."

wow... that is so complicated...

Let me give you an example.

Fermats Last Theorm, 4 Colour Problem, and Goldbachs Conjunteure are problems amatures take on since they don't need a professional education in math.

Let's just say some amature solves one of these (i know FLT has been solved) for reall and it all makes perfect sense.

However, since he/she is an amature, the paper is not going to be highly sytlistic and will be missing a lot of requirements for it to be published in a journal.

So what would this individual do with his work? Who would he send it too for review?
 
rad,

It's not really all that complicated but it is stringent - and rightfully so!

Halls gave a really good suggestion above - discuss it with a local math prof - which, in my opinion, is far better than discussing it with strangers in an online chatroom.
 

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