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.
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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.
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,
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.