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Einführung in Die Algebra by Lamprecht

Einführung in Die Algebra

by Lamprecht
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Book cover type: Paperback
  • ISBN13: 9783764325800
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Birkhauser
  • Publisher Imprint: Birkhauser
  • Publication Date:
  • Pages: 270
  • Original Price: EUR 46.68
  • Language: German
  • Edition: 2. Aufl. 1991
  • Item Weight: 282 grams
  • BISAC Subject(s): General

Das vorliegende Buch enthält den Stoff einer einsemestrigen vierstündigen Einführungsvorlesung für Studienanfänger. Im ersten Kapitel werden einige Grundbegriffe der elementaren naiven Mengenlehre und der mathematischen Terminologie zusammengestellt sowie die einfachsten Ergebnisse über algebraische Verknüpfungen hergeleitet; Bemerkungen aus der Kombinatorik, über Permutationsgruppen und die algebraische Diskussion der komplexen Zahlen veranschaulichen die auftretenden Begriffe. Nach Diskussion eines algorithmischen Lösungs- und Entscheidungsverfahrens für lineare Gleichungssysteme werden im zweiten Kapitel wichtige Rechentechniken der linearen Algebra behandelt. Anwendungen in der analytischen Geometrie ergänzen den Stoff. Das dritte Kapitel enthält eine Einführung in die Ringtheorie, die Diskussion der euklidischen Ringe Z und K(x) und Restklassen- und Quotientenstrukturen; die Hauptachsentranformation reell-symmetrischer Matrizen und Ergänzungen zur Gruppentheorie runden den Stoff ab. Im Rahmen der Untersuchungen wird umfangreiches Beispielmaterial für algebraische Begriffe und Strukturen als Vorbereitung auf weiterführende Vorlesungen geliefert.

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