Este texto es un manual te�rico-pr�ctico sobre las funciones de variable compleja. Se ha escrito pensando en los alumnos que acceden a un primer curso de esta materia, como son los de Ciencias Matem�ticas y F�sica, as� como los de Ingenier�as.Los �nicos prerrequisitos necesarios para seguir el texto son el c�lculo de funciones de varias variables reales y algunos rudimentos de topolog�a y algebra lineal. Cada cap�tulo contiene una selecci�n de problemas, los cuales son solucionados detalladamente en un cap�tulo final.Se ha intentado hacer el texto tan concreto y orientado al alumno como ha sido posible, lo que ha llevado a destacar asuntos b�sicos y troncales huyendo de formalismos innecesarios. El libro comienza con unas notas hist�ricas sobre el desarrollo de la teor�a de las funciones de variable compleja, cuya teor�a b�sica se desarrolla en los nueve cap�tulos siguientes. Adem�s, se han a�adido dos cap�tulos sobre dos importantes aplicaciones de dicha teor�a, como son, las funciones arm�nicas y la transformada de Laplace.

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