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Reelle Matrizen, Vektoren Und Lineare Abbildungen: Ein Kompakter Überblick Mit Aufgabensammlung by Jens Kunath

Reelle Matrizen, Vektoren Und Lineare Abbildungen: Ein Kompakter Überblick Mit Aufgabensammlung

by Jens Kunath
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Book cover type: Paperback
  • ISBN13: 9783662656280
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Publication Date:
  • Pages: 175
  • Original Price: EUR 28.03
  • Language: German
  • Edition: 1. Aufl. 2022
  • Item Weight: 309 grams
  • BISAC Subject(s): Algebra / Linear

Dieses kompakte Lehrbuch stellt zentrale Definitionen, Eigenschaften und elementare Rechenmethoden rund um Vektoren, Matrizen und lineare Abbildungen zwischen reellen Vektorräumen verständlich dar - kurz: Es zeigt, was Matrizen eigentlich sind, wie man mit ihnen rechnet und was man damit alles anfangen kann. Selbstverständlich wird auch erläutert, welche Bedeutung Matrizen im Zusammenhang mit linearen Abbildungen haben. Das Buch bietet somit grundlegende Orientierung zu den gängigen Begriffen wie Rang, Inverse, Determinante, Eigenwerte, Eigenvektoren und Kondition einer Matrix oder Bild, Kern, Dimension und Bijektivität bei linearen Abbildungen - und legt die Grundlage für einen tieferen Einblick in die Lineare Algebra.

Mit vielen ausführlich dargestellten Beispielen und gut verständlichen, ausformulierten Erklärungen eignet sich dieses Werk als Ausblick für motivierte Schüler, als Begleitung im Übergang von Schule zu Hochschule, als Unterstützung zum Studienbeginn sowie als kompaktes Nachschlagewerk im Berufsleben. Viele Übungsaufgaben mit Lösungen helfen beim Verständnis und der Anwendung der behandelten Begriffe und Methoden sowie beim Entwickeln einer guten Routine in der Arbeit mit Matrizen, die in vielen weiterführenden Vorlesungen zur Mathematik und in Anwendungsfächern von grundlegender Bedeutung ist.

Dipl.-Math. Jens Kunath hat lange an der BTU Cottbus-Senftenberg unterrichtet und ist zurzeit als freiberuflicher Mathematiklehrer in Südbrandenburg und Ostsachsen tätig.

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