I'm looking for a book on multivariate polynomials, preferably a monograph (could also be a chapter inside another book). I'm interested in what can be said about roots, factoring, irreducibility, generators of ideals, polynomials which have an specific vector as root, etc., with comparisons/deviations from the univariate case, more from a ring-theoretic and computational perspective than from an algebraic-geometrical one. If possible, I would like it to be advanced, but starting from the elementary facts.
2026-04-07 09:00:22.1775552422
Books about multivariate polynomials
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