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Vorlesungen Über Numerische Mathematik: I. Lineare Algebra by Maess

Vorlesungen Über Numerische Mathematik: I. Lineare Algebra

by Maess
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Book cover type: Paperback
  • ISBN13: 9783034871242
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Birkhauser
  • Publisher Imprint: Birkhauser
  • Publication Date:
  • Pages: 232
  • Original Price: EUR 46.68
  • Language: German
  • Edition: 1984
  • Item Weight: 377 grams
  • BISAC Subject(s): General

Dieses Buch ist aus Vorlesungen entstanden, die in den letzten 15 Jahren an der Rostocker Universitiit fiir Mathematikstudenten, fiir Lehrerstudenten der Fach- kombination Mathematik/Physik und gelegentlich auch fiir Rorer technischer Studien- richtungen gehalten wurden. Die "Vorlesungen", das heiSt die durch zwei Ziffern gekennzeichneten Abschnitte, sind in der Regel induktiv aufgebaut., Einfiihrende Beispiele sollen zeigen, welche Probleme aus der Praxis zu der mathematischen Auf- gabenstellung gefiihrt; haben, und motivieren, wie eine Losung gefunden werden kann und welche Schwierigkeiten dabei auftreten. AnschlieBend folgen theoretische Unter- suchungen zur Analyse des Fehlers der erhaltenen Niiherungslosung, zur Konvergenz des Verfahrens und zu den benotigten Voraussetzungen. Das Buch richtet sich in erster Linie an Studenten, deren Studienplan die numeri- sche Mathematik enthiilt, es ist aber auch fiir Studenten der Technik- und Natur- wissenschaften und der Okonomie und fiir Praktiker gedacht, die sich, bedingt durch den stark zunehmenden Einsatz von Rechenanlagen, mit numerischen Fragen im Selbststudium beschiiftigen wollen. Dariiber hinaus werden auch Vertreter anderer mathematischer Disziplinen beim BHtttern feststellen, daB die numerische Mathe- matik fiir sie interessante, bisher noch nicht zufriedenstellend 'geloste Aufgaben- stellungen enthiilt, z. B. Probleme der zweckmiiBigen Beschreibung von Matrix- strukturen, der Bandbreitenreduzierung und Kompaktspeicherung fiir die diskrete Mathematik und die Bestimmung realistischer Fehlerschranken fiir Niiherungslosun- gen komplizierter Probleme fiir die Analysis. Einige grundlegende Abschnitte sind bewuBt sehr elementar gehalten. Es werden ledigIich Grundkenntnisse aus der linearen Algebra und' der Analysis vorausgesetzt.

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