most recent 30 from http://mathoverflow.net 2013-06-19T10:37:55Z http://mathoverflow.net/feeds/question/17908 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/17908/books-about-polynomials Asymptotik 2010-03-11T20:38:49Z 2010-03-12T02:28:16Z

<p>Hi,have you a good reference (books) for the study of polynomials with one variable or many variables ? Thanks for your help.</p> <p>Don't hesitate to correct my English.</p>

http://mathoverflow.net/questions/17908/books-about-polynomials/17914#17914 Gjergji Zaimi 2010-03-11T20:48:41Z 2010-03-11T20:56:39Z

<p>There is <a href="http://books.google.com/books?id=CynRMm5qTmQC&amp;printsec=frontcover&amp;dq=barbeaux+polynomials&amp;source=bl&amp;ots=mr1ENMUdGP&amp;sig=_BgIFsqbNVhmtquXEXqcSXxUMGI&amp;hl=en&amp;ei=ilWZS-uTFpLasQPD0cXCAQ&amp;sa=X&amp;oi=book_result&amp;ct=result&amp;resnum=1&amp;ved=0CAgQ6AEwAA#v=onepage&amp;q=&amp;f=false" rel="nofollow">Polynomials</a> by E.Barbeau contains all the basics, and has a lot of exercises too.</p> <p>On a similar spirit is <a href="http://books.google.com/books?id=qIJPxdwSqlcC&amp;printsec=frontcover&amp;dq=prasolov+polynomials&amp;source=bl&amp;ots=6rs48kynk9&amp;sig=rD8hjvbGS-Gz1_DUCLhFz0l_S3c&amp;hl=en&amp;ei=gFWZS8fNGorisQOE8rDCAQ&amp;sa=X&amp;oi=book_result&amp;ct=result&amp;resnum=1&amp;ved=0CAYQ6AEwAA#v=onepage&amp;q=&amp;f=false" rel="nofollow">Polynomials</a> by V.V. Prasolov.</p> <p>I've found the treatment in both these books very nice, with lots of examples/applications and history of the results.</p> <p>Oh, and in case you are interested in orthogonal polynomials, I believe the standard reference is Szegö's <a href="http://books.google.com/books?id=3hcW8HBh7gsC" rel="nofollow">book</a>.</p>

http://mathoverflow.net/questions/17908/books-about-polynomials/17915#17915 Kevin Lin 2010-03-11T20:57:53Z 2010-03-11T20:57:53Z

<p>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.</p>

http://mathoverflow.net/questions/17908/books-about-polynomials/17918#17918 Gerald Edgar 2010-03-11T21:18:51Z 2010-03-11T21:18:51Z

<p>J. V. Uspensky, <em>Theory of Equations</em> </p> <p>It is actually the theory of polynomial equations...</p>

http://mathoverflow.net/questions/17908/books-about-polynomials/17920#17920 Franz Lemmermeyer 2010-03-11T21:29:10Z 2010-03-11T21:29:10Z

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

http://mathoverflow.net/questions/17908/books-about-polynomials/17933#17933 Gerry Myerson 2010-03-12T01:03:05Z 2010-03-12T01:03:05Z

<p>McKee and Smyth, eds., Number Theory and Polynomials, being the proceedings of a workshop held at Bristol University, 3-7 April 2006. </p> <p>Langevin and Waldschmidt, eds., Cinquante Ans de Polynomes - Fifty Years of Polynomials, proceedings of a conference held in Paris, 26-27 May 1988, </p>

http://mathoverflow.net/questions/17908/books-about-polynomials/17936#17936 Felipe Voloch 2010-03-12T02:28:16Z 2010-03-12T02:28:16Z

<p>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). </p>