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Partielle Differenzialgleichungen: Eine Einführung in Analytische Und Numerische Methoden
Paperback
ISBN13: 9783662583210
Publisher: Springer Spektrum
Published: Jan 24 2019
Pages: 407
Weight: 1.48
Height: 0.86 Width: 6.69 Depth: 9.61
Language: German
Dieses Lehrbuch gibt eine Einführung in die partiellen Differenzialgleichungen. Wir beginnen mit einigen ganz konkreten Beispielen aus den Natur-, Ingenieur und Wirtschaftswissenschaften. Danach werden elementare Lösungsmethoden dargestellt, z.B. für die Black-Scholes-Gleichung aus der Finanzmathematik. Schlie lich wird die analytische Untersuchung gro er Klassen von partiellen Differenzialgleichungen dargestellt, wobei Hilbert-Raum-Methoden im Mittelpunkt stehen.
Numerische Verfahren werden eingeführt und mit konkreten Beispielen behandelt.
Zu jedem Kapitel finden sich Übungsaufgaben, mit deren Hilfe der Stoff eingeübt und vertieft werden kann.
Dieses Buch richtet sich an Studierende im Bachelor oder im ersten Master-Jahr sowohl in der (Wirtschafts-)Mathematik als auch in den Studiengängen Informatik, Physik und Ingenieurwissenschaften.
Die 2. Auflage ist vollständig durchgesehen, an vielen Stellen didaktisch weiter optimiert und umdie Beschreibung variationeller Methoden in Raum und Zeit für zeitabhängige Probleme ergänzt.Stimme zur ersten Auflage
Auf dieses Lehrbuch haben wir gewartet.
Prof. Dr. Andreas Kleinert in zbMATH
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