03216nam 22006852 450 991078312050332120160602163859.01-280-41855-997866104185580-511-17888-31-139-14791-90-511-05816-00-511-30602-40-511-54283-60-511-07295-3(CKB)1000000000018082(EBL)218024(OCoLC)171136362(SSID)ssj0000248523(PQKBManifestationID)11208873(PQKBTitleCode)TC0000248523(PQKBWorkID)10201818(PQKB)10375619(UkCbUP)CR9780511542831(MiAaPQ)EBC218024(Au-PeEL)EBL218024(CaPaEBR)ebr10069962(CaONFJC)MIL41855(PPN)261308769(EXLCZ)99100000000001808220090505d2003|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierSolving polynomial equation systems1The Kronecker-Duval philosophy /Teo Mora[electronic resource]Cambridge :Cambridge University Press,2003.1 online resource (xiii, 423 pages) digital, PDF file(s)Encyclopedia of mathematics and its applications ;88Title from publisher's bibliographic system (viewed on 31 May 2016).0-521-81154-6 Includes bibliographical references and index.1. The Kronecker-Duval philosophyPolynomial equations have been long studied, both theoretically and with a view to solving them. Until recently, manual computation was the only solution method and the theory was developed to accommodate it. With the advent of computers, the situation changed dramatically. Many classical results can be more usefully recast within a different framework which in turn lends itself to further theoretical development tuned to computation. This first book in a trilogy is devoted to the new approach. It is a handbook covering the classical theory of finding roots of a univariate polynomial, emphasising computational aspects, especially the representation and manipulation of algebraic numbers, enlarged by more recent representations like the Duval Model and the Thom Codification. Mora aims to show that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials. Encyclopedia of mathematics and its applications ;88.EquationsNumerical solutionsPolynomialsIterative methods (Mathematics)EquationsNumerical solutions.PolynomialsIterative methods (Mathematics)512.9/4Mora Teo451132UkCbUPUkCbUPBOOK9910783120503321Solving polynomial equation systems2710272UNINA