Algebra Lineal Curso

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Capítulo 1

NÚMEROS COMPLEJOSLos números complejos forman un conjunto que es una

extensión del conjunto de los números reales y se denotan con la

letra mayúsculaC. Todo número complejo puede representarse

como la suma de un número real y uno imaginario, conservandotodas las propiedades de los números reales.

Los números complejos son la herramienta de trabajo delálgebra, pero tambin lo son para variable compleja, ecuaciones

diferenciales, aerodinámica y electromagnetismo, entre otras de

gran importancia. !demás, se utili"an frecuentemente en

matemáticas y en muchos campos de la f#sica $principalmente en

la mecánica cuántica% y la ingenier#a, especialmente en la

electrónica y las telecomunicaciones, por su utilidad pararepresentar las ondas electromagnticas y la corriente elctrica.

1.1 Números imaginarios

Los números imaginarios aparecen al resolver problemas que con

variable real son difíciles o imposibles de resolver; uno de estos

problemas ocurre cuando es necesario obtener una raíz cuadrada de un

número negativo. Por ejemplo, si quisiéramos resolver la ecuación


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Algebra Lineal Curso

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