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Real and Convex Analysis

This book offers a first course in analysis for scientists and engineers. It can be used at the advanced undergraduate level or as part of the curriculum in a graduate program.    The book  is  built around metric spaces. In the first three chapters, the authors lay the foundational material and cov...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Çınlar, Erhan (Autor), Vanderbei, Robert J. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer US : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Undergraduate Texts in Mathematics,
Temas:
Acceso en línea:Texto Completo

MARC

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505 0 |a Sets and Functions -- Metric Spaces -- Functions on Metric Spaces -- Differential and Integral Equations -- Convexity.-Convex Optimization -- Measure and Integration -- Bibiography.-Index.-. 
520 |a This book offers a first course in analysis for scientists and engineers. It can be used at the advanced undergraduate level or as part of the curriculum in a graduate program.    The book  is  built around metric spaces. In the first three chapters, the authors lay the foundational material and cover the all-important "four-C's": convergence, completeness, compactness, and continuity. In subsequent chapters, the basic tools of analysis are used to give brief introductions to differential and integral equations, convex analysis, and measure theory.    The treatment is modern and aesthetically pleasing. The book contains  detailed illustrations, examples and exercises. It lays the groundwork for the needs of classical fields as well as the important new fields of optimization and probability theory. 
650 0 |a Mathematical analysis. 
650 0 |a Engineering mathematics. 
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650 0 |a Operations research. 
650 0 |a Management science. 
650 0 |a Mathematical optimization. 
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650 2 4 |a Operations Research, Management Science . 
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