Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature

by Yuan Xu

Book Details

Format Hardback or Cased Book

Book Series Chapman & Hall/CRC Research Notes in Mathematics Series

ISBN-10 1138417734

ISBN-13 9781138417731

Publisher Taylor & Francis Ltd

Imprint CRC Press

Country of Manufacture GB

Country of Publication GB

Publication Date Jun 28th, 2018

Print length 134 Pages

Weight 453 grams

Product Classification: Differential calculus & equations

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The purpose of this monograph is to study the common zeroes of families of polynomials in several variables which are related to higher dimensional quadrature. It aims to introduce a new approach and use it to conduct a systematic study.

Presents a systematic study of the common zeros of polynomials in several variables which are related to higher dimensional quadrature. The author uses a new approach which is based on the recent development of orthogonal polynomials in several variables and differs significantly from the previous ones based on algebraic ideal theory. Featuring a great deal of new work, new theorems and, in many cases, new proofs, this self-contained work will be of great interest to researchers in numerical analysis, the theory of orthogonal polynomials and related subjects.

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