This is the place to post suggestions and requests, such as for posts on specific topics. If you have papers or books you’d like to recommend, that would also be fantastic – I’m always looking for reading suggestions.
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Hello qiaochu yuan,
I just read a problem book on analysis by kaczor and nowak and found this treatment friendly and motivating.I was thinking,if there is similar kind of book for other topics like complex analysis and ordinary differential equation.
P.S.I liked you books in bibilography and planning to read them soon.I would be happy if you could just tell me more about problem books in mathematics on other topics.
Hi Rahul,
I don’t know much about problem books in college-level mathematics. One book I’m fond of is Andreescu and Dospinescu’s Problems from the Book; it’s full of interesting problems and techniques, all of which are quite elementary.
This is rather off-topic, but how do you get displayed math to center in wordpress?
I use <p align=”center”>. There might be a better option, but it works.
Ok, thanks.
Hi–
Qiaochu, how much of Mathematics have you done! Since you pointed out once in MATH.SE that please give proper citations, i would like to make a comment here so that it remains personal. In India, generally, research is not done, until one finishes graduation.
Moreover, since you are at MIT, have you ever happened to meet M.Artin!
Yes; he teaches the abstract algebra sequence. He’s a very good lecturer.
Here’s the answer to your query on MathOverflow about the spectra of nonnegative integer matrices:
This question is completely answered, and the result is that the condition involving the Moebius inversion you mention is both necessary and sufficient! See K. H. Kim, N. Ormes, F. Roush. The spectra of nonnegative integer matrices via formal power series. J. Amer. Math. Soc. 13 (2000),773–806. This is really a remarkable and beautiful theorem.
Thanks very much for the reference!
Dear Qiaochu Yuan,
How to improve logical skills with mathematics any books elementary level
Now, I am an older Mathematics student, posting at times at Math Stack Exchange. I had trouble getting it together in my life, and, still, I recently got fired, and my future is in question, not having many connections, nor a great resume to fall back on; I have not even completed my degree.
I don’t mean to take away any merit from you, but,
wouldn’t it be reasonable and fair for you, and for others like you who have succeeded early, and who are still young, to devote some part of your time and effort to make society more fair and better for everyone? Unlike many of us, I am sure with your accomplishments you will always be able to find a job–a great, interesting job, I am sure– just about anywhere.
Just a thought; it is ultimately up to you. Good luck.
Good luck in your job search.
Hopeless, that’s a sad story. But what would Qiaochu realistically do? He already volunteers a lot of time educating others about mathematics. And I’m sure he pays his taxes.
Good luck.
Qiaochu — have you thought about making a mimic blog on tumblr?
I’m not sure what you mean by that.
For example radiolab.tumblr.com, economist.tumblr.com, theatlantic.tumblr.com post the first snippet of their material on tumblr, and then link to their “main blog”. You’ve written a lot of good stuff; that might be a way to get it to a wider audience.
I believe Posterous and Tumblr have ways to automatically import posts from WordPress.
To be honest, I’m not particularly interested in reaching a wider audience. This blog was never intended to be popular in any sense of the word; it’s quite specialized to my interests and I’m satisfied with the readership I currently have (such as it is). I’ve entertained thoughts of trying to reach a wider audience with a second blog, but writing popular (in the sense of widely understandable) posts is significantly harder than what I currently do and, truthfully, it’s hard to motivate myself to actually write one.
Have you thought about adding more pictures or examples to further illustrate the proofs presented here?
After reading your exemplary notes on Young tableaux, I couldn’t help but feel like the “visual” aspect was missing. I believe that some bijections, in combinatorics especially; can be understood immediately by a well-chosen picture or example.
Unfortunately, the fragment of LaTeX that WordPress supports doesn’t include graphics. I have some ideas for getting around this, but they’ll have to wait until future posts (which I will have a lot of time to write in about 11 days).
Appreciate the sharing Qiaochu. Was wondering if you are interested to do a guest post on my site? You can reach me via email to discuss further. God bless. Peace.
Hello Qiaochu Yuan. I’ve been reading your answers on the StackExchange sites for a while now and I’m quite impressed. I’m a physics student and after 5 years now, I decided to learn mathematics from scratch. Do you something like a personal books recommendation list or would you want to write one? In the spirit of like “Here are 1 to 3 good books for every mathematicsl subject you’d find in a university education (e.g. set theory, complex analysis, K-theory,…)”.
Cheerz
Well, that depends. What kind of background do you have?
I don’t fully understand the question. Theoretical physics, I heard the name of everything out there before, but I’m not particularly solid in any mathematical topic. I don’t do proofs (until not, that is). PS: If I’d known you’d answer within 15 minutes, I wouldn’t have waited over a month to check that page again ^^
Hey, Qiaochu. After you visit UChicago this Monday, would you let me know your opinions? I’m still deciding between Columbia and UChicago so any input would be greatly appreciated.
Qiachu, since you don’t seem to like using the comments to chat, I’d like to know if you received my mail. I guess maybe what I shared is way too simple for your day to day scope, but I though it might interest you. It is something that I devised personally in February of this year, and as I mentioned to you can be generalized to other functions (but probaly not to all of them).
Cheers for the great blog,
Peter.
It’s not a matter of what I like. Your comments were all completely off-topic.
Whenever you can (and if you’re not too upset about the off topic comments) could you tell me what you think about what I sent you? Again, I’m sorry that used the comments like that. It’s only that I can’t find anyone to review or take a look at it at the moment.
I know. I’m sincerely sorry, but I didn’t know how else to reach you.
can’t you post it on mathstackexchange as a question or some other relevant site? People tend to be busy with their own lives and there’s only so much they can give to one person without it ending up an unwanted burden.
You give what you’re willing to. If you don’t want to, you can just say it. If someone is busy then I will not insist. I wanted to share something and saw Qiaochu shared his mail in his profile, so I assumed he was welcome ot this. If it is the case something is not of interest, you can always say so, right?
@ptamw, yes you’re right – people can just say they’re not interested so there’s no harm sending a request.