Search results for "Freudenthal"
showing 2 items of 2 documents
Fenomenología didáctica del árbol de Stern-Brocot
2018
El objetivo de este trabajo es presentar la fenomenología matemática y didáctica de la fracción mediante y del árbol de fracciones (árbol de Stern-Brocot), mostrando su carácter elemental, su historia y su interés y utilidad potencial para la Enseñanza Secundaria. Se muestra, asímismo, cómo el árbol de fracciones proporciona una construcción didáctica de los números racionales, abriendo nuevas perspectivas para la enseñanza de los mismos en el aula. The aim of this study is to uncover the mathematical and didactical phenomenology of the mediant and the tree of fractions (Stern-Brocot tree), showing their elementary and fundamental character, their historical roots and their interest and pot…
Some algebras of symmetric analytic functions and their spectra
2011
AbstractIn the spectrum of the algebra of symmetric analytic functions of bounded type on ℓp, 1 ≤ p < +∞, and along the same lines as the general non-symmetric case, we define and study a convolution operation and give a formula for the ‘radius’ function. It is also proved that the algebra of analytic functions of bounded type on ℓ1 is isometrically isomorphic to an algebra of symmetric analytic functions on a polydisc of ℓ1. We also consider the existence of algebraic projections between algebras of symmetric polynomials and the corresponding subspace of subsymmetric polynomials.