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Introducción a la Matemática Numérica: TeorÃa, Práctica Y Numerosos Ejemplos
Hardcover
General ComputersGeneral Mathematics
ISBN13: 9783662741955
Publisher: Springer Spektrum
Published: Jan 9 2027
Pages: 550
Language: Spanish
Este libro es la traducción al español de la segunda edición de Einführung in die Numerische Mathematik, publicada originalmente en alemán por Springer en 2024. En él se presentan los fundamentos teóricos de los métodos numéricos desde una perspectiva moderna, rigurosa y orientada a las aplicaciones. Además de cubrir el contenido estándar, el libro incorpora numerosos ejemplos, secciones prácticas y demostraciones desarrolladas con detalle que, en conjunto, favorecen una comprensión más profunda de los temas.
Los conceptos fundamentales de los métodos numéricos, como precisión, eficiencia, robustez y estabilidad, se abordan de manera explÃcita y se diferencian claramente entre sÃ. Los algoritmos presentados se ilustran mediante ejemplos numéricos concretos e implementaciones en Python, incluidas tanto en el texto como en una colección de materiales interactivos de Jupyter disponible en un repositorio de GitHub. Asimismo, se abordan aspectos de la modelización numérica vinculados con el aprendizaje automático y las redes neuronales.
El libro presenta por separado los métodos numéricos del álgebra lineal y del análisis matemático, lo que facilita significativamente el acceso de los estudiantes a la matemática numérica a partir de estas dos áreas fundamentales de la formación en matemáticas. Este enfoque hace que la obra resulte particularmente adecuada para estudiantes de matemáticas, fÃsica, informática e ingenierÃa.
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