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Einfuhrung in Die Algebra

Einfuhrung in Die Algebra

Lamprecht

84,72 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
1991
Materia
Ciencia: cuestiones generales
ISBN:
9783764325800
84,72 €
IVA incluido
Disponible

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Sobre IBD

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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