Eigenwertaufgaben in Hilbertschen Raumen

Mit Aufgaben und vollstandigen Losungen

By (author) Ludwig Kohaupt By (author) Friedrich Stummel

Book cover: Eigenwertaufgaben in Hilbertschen Raumen

Extent: 302 pages

Publisher: Logos Verlag Berlin

Subjects: Technical Sciences: Computer Science, Engineering, IT, & Math

Series: Computational and Applied Mathematics

Series volume number: 1

Language: German

Paperback (Published)

(March 2021)

ISBN: 9783832552626

6.65 x 9.45 inches

Price: $44.00

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Dieses Buch vereint ein Vorlesungsskript uber die Behandlung von Eigenwertaufgaben in Hilbertschen Raumen von Friedrich Stummel und Ubungsaufgaben zu den Eigenwertaufgaben sowie zugehorigen Losungen von Ludwig Kohaupt. Neben Standardmethoden werden aus der Funktionentheorie stammende Methoden verwandt sowie Themen behandelt, die bisher noch keinen Eingang in Lehrbucher gefunden haben. Die hergeleiteten allgemeinen Ergebnisse sind auf Integralgleichungen, Rand- und Eigenwertaufgaben gewohnlicher und partieller Differentialgleichungen sowie auf Matrixgleichungen anwendbar und werden am regularen Sturm-Liouville-Problem sowie weiteren Beispielen erlautert. Die hier vorliegende funktionalanalysis-orientierte Darstellung erlaubt es, viele Methoden unter einheitlichen Gesichtspunkten zu betrachten, was auch zu einem besseren Uberblick uber die verschiedenen Anwendungsgebiete fuhrt. Dank der vielen gelosten Ubungsaufgaben ist das vorliegende Skript nicht nur als Vorlage fur eine Vorlesung geeignet, sondern auch zum Selbststudium, insbesondere fur Studierende der Mathematik, aber wegen des engen Zusammenhangs zwischen Eigenvektoren und Eigenformen bei Anwendungsaufgaben auch fur Studierende der Physik und Ingenieurwissenschaften.

  • By (author) Ludwig Kohaupt
  • By (author) Friedrich Stummel

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