Polynomial arithmetic and zeros

  • Dongming Wang
Part of the Texts and Monographs in Symbolic Computation book series (TEXTSMONOGR)


We start by collecting some concepts, operations, and properties on multivariate polynomials, which are fundamental and will be used throughout the following chapters. Most of the results presented here are not proved formally; their proofs may be found in standard textbooks on algebra. Wherever no reference is given, the reader is advised to look up them in van der Waerden (1950, 1953) and Knuth (1981).


Polynomial Ring Extension Field Polynomial Ideal Polynomial System Irreducible Polynomial 


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Copyright information

© Springer-Verlag Wien 2001

Authors and Affiliations

  • Dongming Wang
    • 1
  1. 1.Laboratoire d’Informatique de Paris 6Universiré Pierre et Marie CurieParisFrance

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