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Eigenwerttheorie Gewöhnlicher Differentialgleichungen by K. Jörgens, J. Weidmann, F. Rellich

Eigenwerttheorie Gewöhnlicher Differentialgleichungen

by K. Jörgens , J. Weidmann , F. Rellich
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Book cover type: Paperback
  • ISBN13: 9783540072515
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 230
  • Original Price: EUR 46.68
  • Language: German
  • Edition: N/A
  • Item Weight: 395 grams
  • BISAC Subject(s): Mathematical Analysis

Der vorliegende Band ist eine Uberarbeitete und ergänzte Fassung der Vorlesungs- ausarbeitung "Eigenwerttheorie partieller Differentialg1eichungen, Teil 1" von Franz ReIliCh; diese Vorlesung hat RelIich im Wintersemester 1952/53 im Mathe- matischen Institut der Universität Göttingen gehalten. Ziel und Höhepunkt dieses Bandes ist die vollständige Darstellung der Weylschen Theorie der singu1ären gewÕhnlichen Differentialgleichungen zweiter Ordnung. RelIichIs Ausarbeitung hat siCh stets einer groBen Nachfrage bei Mathematikern und Pbysikern erfreut. Es entstand deshalb schon bald der Plan, dieses Manuskript als Buch zu veröffentlichen. Ich konnte diesen Plan bis Januar 1964 zurUckver- fOlgen, wo Professor G. Höhler (Karlsruhe) dem Springerverlag vorschlug, dieses Manuskript zu veröffentlichen. Bereits 1965 erklärte siCh Herr Jörgens bereit, die zur Herausgabe in den Heidelberger Taschenbüchern (wo dieser Band ursprünglich erscheinen sollte) erforderliche tJberarbeitung vorzunehmen. Diese Arbeit hat sich aus den verschiedensten Gründen immer wieder verzögert. Die tJberarbeitung selbst brachte neue SChwierigkeiten, von denen mir Herr Jörgens in zahlreichen Gesprächen immer wieder berichtete. Einerseits wollte er m/)g1ichst wenig am Rellichschen Text verändern, andererseits sah er die Notwendig- keft, moderne Begriffsbildungen und neuere Resultate aufzunehmen. Das Ergebnis besteht (soweit es die ersten beiden Kapitel betrifft) darin, daB der ursprüng- liche Text bis auf Korrekturen und geringfügige stilistische Veränderungen fast unverändert übernommen wurde. In den letzten Paragraphen der Kapitel I und II wurden Zusätze und Aufgaben angebracht, die die wichtigsten Punkte aus moderner Sicht nocbmals aufgreifen und ergänzen. In Kapitel III weicht di 'Darstellung stärker vom ursprUnglichen Manuskript ab.

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