D'Andrea, Carlos, 1973-Giménez Rodilla, José2022-06-102022-06-102022-01-24https://hdl.handle.net/2445/186487Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Carlos D'Andrea[en] The main goal of this work is to study polynomial interpolation in several variables from an algebraic perspective. To do so, we treat linear differential operators as algebraic elements, and consider the solution space of a polynomial interpolation problem as the orthogonal space via a sesqui-linear map of an ideal of multivariate polynomials. Examples and a Mathematica code are also provided.53 p.application/pdfengcc-by-nc-nd (c) José Giménez Rodilla, 2022http://creativecommons.org/licenses/by-nc-nd/3.0/es/Interpolació (Matemàtica)Treballs de fi de grauTeoria de l'aproximacióAnells commutatiusInterpolationBachelor's thesesApproximation theoryCommutative ringsinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess