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Re:How to Read Mathematics by zitterbewegung on Tuesday December 12, 2017 @10:51PM (#15911888)
How I read Mathematics. First try to find the paper. First use http://front.math.ucdavis.edu . If you can't find it then use google scholar. If that fails then go on the authors academic website. If that fails then see if the author is live and try to contact them. Then repeat for their grad students. If all else fails post it to r/math or HN and ask for the pdf.

First you want to see if this paper is even worth reading. Scan the Abstract and the conclusions. If it is still relevant then do a quick scan of the whole text and look for the things you don't understand. For everything you don't understand look up on wikipedia. Once you have found those pages then look on the citations on wikipedia to gain more understanding. If you still can't understand the paper reread it and then attempt to redo their calculations. If all else fails ask someone to help you read it. Whenever you get confused write on the paper questions. If you figure out that this paper is meaningless then look for another one.

If you figure out a new question that you want to persue more then try to answer that question. If you don't have access to professor or if they are impeding your work then use stackexchange. Either that or try to invalidate your new theory yourself. Recognize that you can be wrong.

Re:How to Read Mathematics by Iv on Tuesday December 12, 2017 @11:24PM (#15912014)
Also a very good advice I had received a long time ago but that I had dismissed until recently: some articles are just badly written.

The author sometimes forget to mention what B actually is, changes the meaning of the multiplication operator implicitly, assumes the formula given is inside an integral.... I could go on.

A maths article is an article. A lot are imperfect, quite a few are bad. Some times it is not the reader that is lacking.

That being said, do your homeworks and only consider that possibility after giving the article one hour of your time or so.

Re:How to Read Mathematics by nicklaf on Wednesday December 13, 2017 @12:34AM (#15912257)
I remember reading this exact piece of advice, but have been trying to remember where.

Would anybody be able to provide the blog post I believe we both read, which says almost exactly what Iv wrote? I could have sworn Michael Nielson wrote it, but I was unable to produce it last time I searched. So I am following OP's advice and am asking here. :P

Re:How to Read Mathematics by nicklaf on Wednesday December 13, 2017 @08:25PM (#15919263)
I may have found the post by Michael Nielson I was looking for... on Hacker News!

https://news.ycombinator.com/item?id=666615

In particular, this piece of advice he gives still rings true to my ears:

Often, when struggling with a book or paper, it's not you that's the problem, it's the author. Finding another source can quickly clear stuff up.

Re:How to Read Mathematics by Iv on Wednesday December 13, 2017 @02:32AM (#15912661)
Mine comes from my dad, I doubt he has a blog :-)
Re:How to Read Mathematics by CamperBob2 on Wednesday December 13, 2017 @12:28AM (#15912238)
How I read Mathematics. First try to find the paper. First use http://front.math.ucdavis.edu . If you can't find it then use google scholar. If that fails then go on the authors academic website. If that fails then see if the author is live and try to contact them. Then repeat for their grad students. If all else fails post it to r/math or HN and ask for the pdf.

Short of bugging the author, you can also go to Wikipedia's entry for SciHub and see what their latest known domain suffix and/or IP address is.

Re:How to Read Mathematics by zitterbewegung on Saturday December 16, 2017 @10:01AM (#15939805)
If you don't want to bug the author for their paper then it presupposes that you wouldn't even ask the author a question. It doesn't hurt to send an email that they delete but most likely the author never gets questions and you boost their ego.
Re:How to Read Mathematics by vog on Wednesday December 13, 2017 @04:44AM (#15913180)
> First try to find the paper. First use http://front.math.ucdavis.edu . If you can't find it then use google scholar. If that fails then go on the authors academic website. If that fails then see if the author is live and try to contact them. Then repeat for their grad students. If all else fails post it to r/math or HN and ask for the pdf.

Or, go directly to arxiv, scihub or a similar service.

Fully agree with the following steps, though.

Re:How to Read Mathematics by giomasce on Wednesday December 13, 2017 @06:17AM (#15913525)
This is still the easy path. Sometimes you have to hope that the article you need was translated from Russian to English, find which is its translated title, search the title, understand that you could not find anything because you have to search the title the volume it was published into, not its original one; then search again the new title, find nothing on GenLib, SciHub and similar, go the university library, discover that the section this article belongs to is currently packed because they are renovating (or moving, who remembers) and there is not ETA and they do not allow you to fetch it from the packages; speak of the problem with your advisor, who tries to find it in his university's library; in the meantime, speak of the problem with a friend, that encourages to you to ask the library again, this time the library agrees to get the paper for you and you photocopy it; more or less at the same time your advisor manages to give you a photocopy. At last, scan the paper (because you do not want to carry a hundred pages in your backpack all the time, do you?) and put it on GenLib for the sake of future souls that might need it.

All of this just to have the paper. During reading, you still need to check the Russian original and ask a Russian friend (as Google translator is not necessarily to be trusted on mathematical texts) for some points that make no sense and turn out to be mistranslations. Not to mention the references to other Russian papers from the sixties that could be even more difficult to find.

On the other hand I have to mention that the paper actually contained the theorem I wanted and the proof was reasonably clear. The author also replied helpfully to an email I sent him! So this was definitely worth the effort. I was lucky!

Re:How to Read Mathematics by andrepd on Wednesday December 13, 2017 @09:28AM (#15914381)
>First try to find the paper. First use http://front.math.ucdavis.edu . If you can't find it then use google scholar. If that fails then go on the authors academic website. If that fails then see if the author is live and try to contact them. Then repeat for their grad students. If all else fails post it to r/math or HN and ask for the pdf.

You can replace all that by a trip to sci-hub ;)

Re:How to Read Mathematics by extra__tofu on Wednesday December 13, 2017 @09:50AM (#15914528)
I believe sci-hub has been taken down, at least temporarily. The .cc and .bz domains weren't working for me. I think it's possible to setup custom DNS servers on your machine and access that way, but I haven't played around with it.
Re:How to Read Mathematics by jloughry on Wednesday December 13, 2017 @12:36PM (#15915772)
It's still possible to use Sci-Hub, it's just that DNS queries for it tend to fail. Even knowing the IP address isn't enough, because although that gets you to the familiar Sci-Hub home page, search results always time out.

The trick is to find out the IP address of a DNS server or two that knows about Sci-Hub, and put those in your /etc/resolv.conf file.

Note: They have to come first in the file, before any 'compromised' DNS servers like Google's or your ISP's, that will always report 'sorry, I don't know how to find this "Sci-Hub" you speak of'.

If you're on a Windows machine, do it in Control Panel instead; dig down in Network settings, TCP/IP, Advanced, DNS to find the place to type in new DNS server IP addresses.

Do that, and Sci-Hub works fine. Twitter is a good place to find the latest working IP addresses for their DNS server. Last time I looked, they were 80.82.77.83 and 80.82.77.84.

Re:How to Read Mathematics by CamperBob2 on Wednesday December 13, 2017 @03:44PM (#15917486)
It's .hk at the moment.