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Motivado por sus aplicaciones a diferentes reas de la matemtica, como ecuaciones de evolucin, teora de control, etc. existe en la actualidad un gran inters por extender a medidas y funciones con valores vectoriales los conceptos de la teora de medida y de integracin de Lebesgue de funciones escalares. El texto est dirigido a estudiantes de postgrado en matemtica y presenta los conceptos fundamentales de la teora de medida con valores en espacios de Banach. El libro supone conocimiento previo de integracin de Lebesgue y de anlisis funcional. Una breve descripcin del contenido del libro es la siguiente. El Captulo I introduce diversos conceptos de clases de conjuntos y de medidas escalares y vectoriales. En el Captulo II se define la integral de Bochner de funciones vectoriales y se estudian sus propiedades. En el Captulo III se definen los espacios de funciones pintegrables. En el Captulo IV se presenta la integracin en espacios producto y, en el Captulo V se estudia la propiedad de RadonNikodym y sus principales aplicaciones. Finalmente, en el Captulo VI se analiza la integracin sobre espacios localmente compactos.
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