The discreet charm of the square root

We present a version for the general readership of our article (Amster y Cid, 2022) in which we show how the complex square root allows us to prove in a very simple manner various topological results in the plane, as deep as the Brouwer Fixed Point Theorem and the Invariance of Domain Theorem, as we...

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Detalles Bibliográficos
Autores principales: Amster, Pablo, Cid, José Ángel
Formato: Artículo revista
Lenguaje:Español
Publicado: Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2023
Materias:
Raíz cuadrada compleja
Teorema de Brouwer
Teorema fundamental del álgebra
Índice de una curva
Complex square root
Brouwer Theorem
Fundamental theorem of algebra
Winding number
Acceso en línea:https://revistas.unc.edu.ar/index.php/REM/article/view/42132
Aporte de:
Revista de Educación Matemática de Universidad Nacional de Córdoba
Descripción
Sumario:We present a version for the general readership of our article (Amster y Cid, 2022) in which we show how the complex square root allows us to prove in a very simple manner various topological results in the plane, as deep as the Brouwer Fixed Point Theorem and the Invariance of Domain Theorem, as well as the Fundamental Theorem of Algebra.

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