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Este libro fue el resultado de una convocatoria de la Vicerrectoría Académica de la Universidad de La Salle en el año 2010, por lo que me siento agradecido con la Universidad, en particular con la mencionada Vicerrectoría, el Programa de Economía y la oficina de Publicaciones de dicha institución. Además, siento un profundo agradecimiento con los estudiantes que me ofrecieron sugerencias, que detectaron algunos errores y muy cordialmente me informaron, son muchas personas y lamento no mencionar a cada una; además, quiero agradecer a Jennipher Andrea Corredor S., quien me colaboró con la transcripción, diagramación de algunas páginas de este libro. Los elementos de economía matemática que se presentan en este texto son el resultado de los apuntes de clase desarrollados para los estudiantes de los cursos de Economía Matemática en la Escuela Colombiana de Ingeniería y la Universidad de La Salle. El contenido está orientado hacia algunas matemáticas usadas en los diferentes espacios académicos de los programas de Economía, ya que aporta aplicaciones que contribuyen al estudio de elementos básicos de teoría de matrices, funciones multivariadas y métodos de optimización con y sin restricción. Los elementos de economía matemática que se presentan en este texto son el resultado de los apuntes de clase desarrollados para los estudiantes de los cursos de Economía Matemática en la Escuela Colombiana de Ingeniería y la Universidad de La Salle. El contenido está orientado hacia algunas matemáticas usadas en los diferentes espacios académicos de los programas de Economía, ya que aporta aplicaciones que contribuyen al estudio de elementos básicos de teoría de matrices, funciones multivariadas y métodos de optimización con y sin restricción.