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So Einfach Ist Mathematik - Partielle Differenzialgleichungen Für Anwender by Dirk Langemann, Cordula Reisch

So Einfach Ist Mathematik - Partielle Differenzialgleichungen Für Anwender

by Dirk Langemann , Cordula Reisch
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Book cover type: Paperback
  • ISBN13: 9783662575017
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Publication Date:
  • Pages: 254
  • Original Price: EUR 35.5
  • Language: German
  • Edition: 1. Aufl. 2018
  • Item Weight: 381 grams
  • BISAC Subject(s): Differential Equations / General

Gott sprach: "Es werde Licht, und es ward ..." steht auf manchem T-Shirt, und unter diesem Zitat findet man mit den Maxwell-Gleichungen dekorative und sehr anspruchsvolle partielle Differentialgleichungen zur Beschreibung elektromagnetischer Ph�nomene.

Dieses Buch erz�hlt Ihnen, worum es bei der Besch�ftigung mit partiellen Differentialgleichungen geht, woher sie kommen, was sie beschreiben, welche gro en Fragen mit ihnen verbunden sind und warum diese Fragen so schwierig sind, wie sie sind, ohne sie in aller mathematischen Schwere zu behandeln. Vielmehr vermittelt Ihnen dieses Buch einen anschaulichen Einstieg und einen �berblick, der von der Herleitung der W�rmeleitungsgleichung und einem energetisch bedenklichen Studentenzimmer �ber die Schwingungsgleichung, den Produktansatz, die Spektralzerlegung bis zu den Grundideen der Finite-Elemente-Methode als dem Standardverfahren zur numerischen Behandlung von partiellen Differentialgleichungen reicht.

Sie werden Freudehaben, sich mit partiellen Differentialgleichungen zu besch�ftigen, mit denen fast alle Vorg�nge in der Natur beschrieben werden k�nnen, und Sie l�pfen so den Schleier, der �ber den Mysterien der Wirklichkeit liegt.

Anregungen zur �bung und eigenen Besch�ftigung sind in den Text eingestreut.

Dirk Langemann hat Mathematik an der Universität Rostock studiert und arbeitet seit 2009 als Professor an der Technischen Universität Braunschweig. Er beschäftigt sich mit Fragen der mathematischen Modellierung und ist für die grundständigen Mathematik-Lehrveranstaltungen in ingenieurwissenschaftlichen Studiengängen verantwortlich.

Cordula Reisch hat an der Technischen Universität Braunschweig Mathematik sowie Mathematik und Physik für das gymnasiale Lehramt studiert und arbeitet dort seit 2015 als wissenschaftliche Mitarbeiterin. Sie promoviert über Reaktions-Diffusions-Gleichungen mit Anwendung in den Lebenswissenschaften und begleitet Vorlesungen zu partiellen Differentialgleichungen und Numerik für Ingenieure.


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