Cálculo Diferencial e Integral
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El presente libro es el resultado de muchos a�os de trabajo e investigaci�n fruto de los estudios realizados en Hungr�a siendo estudiante de la Universidad E�tv�s Lor�nd de Budapest as� como tambi�n de mis a�os de docencia impartidos en algunas universidades de Ecuador. El objetivo principal de este libro es proveer de una herramienta en idioma castellano para la juventud de descendientes ecuatorianos y porque no decir para la comunidad latinoamericana residente en Hungr�a que de alguna manera se vea involucrada con el estudio de las Matem�ticas. El segundo objetivo es entregar un libro especializado con temas que frecuentemente no son abordados en el estudio de las Matem�ticas de Ecuador. El libro est� formado a base de una recopilaci�n de la materia de matem�ticas presenciada en la Universidad de Ciencias E�tv�s Lor�nd as� como tambi�n en el Instituto Preparatorio Internacional de Budapest - Hungr�a de las cuales fui un estudiante. El libro est� estructurado de tal manera que puede ser utilizado por estudiantes de ingenier�as, econ�micas, ciencias ambientales. Se encuentra dividido en grandes cap�tulos tratando de abarcar elementos claves dentro del estudio del An�lisis Matem�tico, como lo es el C�lculo Diferencial e Integral. En cada cap�tulo se presentan definiciones, teoremas y en muchos de los casos con sus demostraciones, adem�s de presentar ejercicios resueltos con su explicaci�n detallada y ejercicios propuestos. En el Cap�tulo 1 da una explicaci�n detallada de lo que es el C�lculo Diferencial con teoremas y ejercicios puntuales. Los Cap�tulos 2 y 3 se centran en el estudio del C�lculo Integral tanto de la Integral Indefinida como de la Integral Definida. El Cap�tulo 4 es un cap�tulo extenso que sirve para la descripci�n de la Funci�n Logar�tmica, la Funci�n Exponencial, las Funciones Hiperb�licas, las Derivadas Inversas, la Integraci�n por Fracciones Simples, Integrales que pueden transformarse en integrales de Funciones Racionales, la Integrac
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