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Grundlagen Der Mathematischen Optimierung: Diskrete Strukturen, Komplexitätstheorie, Konvexitätstheorie, Lineare Optimierung, Simplex-Algorithmus, Dua
Paperback
Series: Aufbaukurs Mathematik
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ISBN13: 9783528072902
Publisher: Springer Vieweg
Published: Jan 5 2013
Pages: 525
Weight: 1.87
Height: 0.81 Width: 6.62 Depth: 9.48
Language: German
Das Buch entwickelt mathematische Grundlagen der linearen, nichtlinearen und diskreten Optimierung. Hierzu gehören Diskrete Strukturen und Algorithmen, eine ausführliche Einführung in die Komplexitätstheorie, die Grundlagen der Konvexitätstheorie, der Simplex-Algorithmus sowie die LP-Dualität und ihre Anwendungen. Methodisch zentral für viele Teile der Optimierung ist der geometrische Zugang; die zugrunde liegenden geometrischen Vorstellungen werden detailliert entwickelt und durch eine gro e Anzahl von Skizzen veranschaulicht. Die behandelten Probleme sind sämtlich durch reale Anwendungen motiviert; verschiedene konkrete Anwendungsbeispiele werden ausführlich besprochen. Der Methodenreichtum des Gebiets der mathematischen Optimierung wird durch vielfältige Querverbindungen zu anderen mathematischen Disziplinen sichtbar. Zahlreiche Übungsaufgaben unterstützen die Anwendbarkeit des Buches als Grundlage für Lehrveranstaltungen.
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