Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Hi,have you a good reference (books) for the study of polynomials with one variable or many variables ? Thanks for your help.

Don't hesitate to correct my English.

share|improve this question

closed as too broad by Yemon Choi, Stefan Kohl, quid, Misha, Lucia Jul 6 at 19:06

There are either too many possible answers, or good answers would be too long for this format. Please add details to narrow the answer set or to isolate an issue that can be answered in a few paragraphs.If this question can be reworded to fit the rules in the help center, please edit the question.

6  
I think you should try to be more specific... Why are you interested in polynomials? Or if you have no reason other than pure curiosity, it would still be very helpful to say that. –  Kevin H. Lin Mar 12 '10 at 3:28

7 Answers 7

There is Polynomials by E.Barbeau contains all the basics, and has a lot of exercises too.

On a similar spirit is Polynomials by V.V. Prasolov.

I've found the treatment in both these books very nice, with lots of examples/applications and history of the results.

Oh, and in case you are interested in orthogonal polynomials, I believe the standard reference is Szegö's book.

share|improve this answer

J. V. Uspensky, Theory of Equations

It is actually the theory of polynomial equations...

share|improve this answer

For those with an inclination towards number theory, "Squares" by Rajwade might be interesting.

share|improve this answer

McKee and Smyth, eds., Number Theory and Polynomials, being the proceedings of a workshop held at Bristol University, 3-7 April 2006.

Langevin and Waldschmidt, eds., Cinquante Ans de Polynomes - Fifty Years of Polynomials, proceedings of a conference held in Paris, 26-27 May 1988,

share|improve this answer

An idiosyncratic but very interesting book is Schinzel's "Topics on Polynomials" (not 100% sure that's the exact title, book is at my office).

share|improve this answer
2  
"Selected topics on polynomials", MR0649775 (84k:12010) ams.org/mathscinet-getitem?mr=649775 –  lhf Mar 12 '10 at 2:39

you can buy the book higher algebra by hall and knight.

share|improve this answer

Serge Lang once gave me a nice little booklet with a red cover. The title was something like "Polynomials: A beautiful high school topic". I remember it had some stuff about the abc conjecture. I can't seem to find my copy right now, though. I can't find it online, either.

share|improve this answer
    
Perhaps it mutated into "Math Talks for Undergraduates"? –  Franz Lemmermeyer Mar 11 '10 at 21:24
    
Perhaps it became a chapter of that book, which covers many things that are not about polynomials. –  KConrad Jul 6 at 16:10

Not the answer you're looking for? Browse other questions tagged or ask your own question.