Higher-Degree Polynomials

We have devoted chapters to quadratic, cubic, and quartic polynomials. This pattern cannot continue through all degrees, and not just because the resulting book would be infinitely long. It turns out that results of the sort we have obtained do not exist for polynomials in degree greater than four....

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Vydané v:	Beyond the Quadratic Formula s. 179 - 216
Hlavný autor:	Irving, Ron
Médium:	Kapitola
Jazyk:	English
Vydavateľské údaje:	Washington The Mathematical Association of America 2013 Mathematical Association of America American Mathematical Society
Vydanie:	1
Predmet:	Algebra Axiomatic set theory Coefficients Complex numbers Degrees of polynomials Discrete mathematics Discriminants Factorization Formal logic Fundamental theorems History of mathematics Integers Logic Logical topics Mathematical expressions Mathematical logic Mathematical objects Mathematical procedures Mathematical set theory Mathematical theorems Mathematics Number theory Numbers Philosophy Polynomials Pure mathematics Rational numbers Real numbers Abel, Niels McMullen, Curt polynomial equation ring Tschirnhausen, Ehrenfried Walter von resolvent polynomial general notion Viète root of a polynomial field definition ring definition mathematical induction, principle of induction Jerrard, George Lagrange, Joseph Klein, Felix d'Alembert, Jean-le-Rond Bézout, Etienne symmetric polynomials definition change of variables Euler, Leonhard fundamental theorem of algebra Galois, Évariste Laplace, Pierre-Simon Liouville, Joseph Girard, Albert quintic polynomials polynomial factorization existence Bring, Erland Galois Theory Hermite, Charles polynomial factorization quintic polynomials Bring-Jerrard form Fefferman, Charles fundamental theorem of algebra Eisenstein, Gotthold field Ruffini, Paolo symmetric polynomials polynomial discriminant Doyle, Peter Gauss, Carl Friedrich Tschirnhausen Argand, Jean-Robert Waring, Edward Newton, Isaac
ISBN:	0883857839, 9780883857830
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