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Lineare Algebra Und Analytische Geometrie
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ISBN10: 3658510544
ISBN13: 9783658510541
Publisher: Springer Spektrum
Published: Apr 7 2026
Pages: 517
Language: German
ISBN13: 9783658510541
Publisher: Springer Spektrum
Published: Apr 7 2026
Pages: 517
Language: German
Das Werk bietet eine Einführung in die lineare Algebra und die analytische Geometrie und enthält Material für eine zweisemestrige Vorlesung. Es beginnt mit einem Kapitel, das allgemein in die mathematische Denkweise und Beweistechniken einführt, um dann über lineare Gleichungssysteme zur linearen Algebra überzuleiten. Der Text spannt den Bogen bis hin zu Tensorprodukten und ihren Anwendungen im Quantencomputing. Besonderer Wert wird auf eine enge Verzahnung von algebraischen und geometrischen Konzepten gelegt, zum einen um eine gute geometrische Intuition für algebraische Begriffe zu entwickeln, zum anderen um elegante algebraische Beweismethoden für geometrische Sätze einsetzen zu können.
Der Text ist klar und verständlich geschrieben und in einem erfrischenden Stil verfasst. Interaktive Online-Übungsseiten und Illustrationen regen zu einem aktiven Studium an. Sie können auf internetfähigen Geräten mittels der angegebenen URL oder des QR-Codes aufgerufen werden. Die Aufgaben am Ende jedes Kapitels sind integraler Bestandteil des Textes. Einige von ihnen behandeln interessante Anwendungen des Stoffs.
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