Dieses nun seit 50 Jahren bew�hrte und kontinuierlich �berarbeitete Lehrbuch eignet sich bestens als Grundlage f�r eine zweisemestrige einf�hrende Vorlesung f�r Studierende der Mathematik, Physik und Informatik, aber auch f�r andere F�cher, die mathematische Grundlagen aus der Linearen Algebra ben�tigen. Einige weiterf�hrende Themen k�nnen f�r einen schnellen Einstieg problemlos �bersprungen werden.

�ber den ganzen Text hinweg werden die abstrakten Begriffe durch Beispiele motiviert und die lebendigen Wechselbeziehungen zwischen allgemeiner Theorie und konkreten Rechnungen mit Hilfe von Matrizen hervorgehoben. Der Text enth�lt zahlreiche �bungsaufgaben. Viele L�sungen dazu findet man in dem von H. Stoppel und B. Griese verfassten �bungsbuch zur Linearen Algebra. Weitere Themen und Anwendungen werden im Lernbuch Lineare Algebra und Analytische Geometrie von Gerd Fischer behandelt, das sich bestens als Erg�nzung f�r das Selbststudium eignet.

In der 20. Auflage sind neben mehreren kleinen Verbesserungen vor allem im 7. Kapitel die Abschnitte �ber Tensorprodukte und multilineare Algebra neu bearbeitet und ausf�hrlicher, denn diese Teile bereiten erfahrungsgem�� bei der ersten Lekt�re besondere Schwierigkeiten. Sie sind aber wichtig etwa in der Integrationstheorie zum Verst�ndnis der algebraischen Hintergr�nde.

About the Author

Gerd Fischer war viele Jahre Professor f�r Mathematik an der Universit�t D�sseldorf und ist jetzt als Honorarprofessor an der TU M�nchen t�tig. Er ist Autor zahlreicher erfolgreicher Lehrb�cher.

Boris Springborn ist Professor f�r Mathematik an der TU Berlin und wurde dort mit dem Preis f�r vorbildliche Lehre ausgezeichnet.

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