This book was first published in 2004 by Kluwer, Dordrecht. The second edition was published by Springer, Dordrecht in 2007. This is the third edition, which is also available in ebook form. The earlier editions have been reviewed in detail (cf. [The linear algebra. A beginning graduate student ought to know. Dordrecht: Kluwer Academic Publishers (2004; Zbl 1048.15002); The linear algebra. A beginning graduate student ought to know. Dordrecht: Springer (2007; Zbl 1114.15001)]). This edition is enhanced by the inclusion of further results and many new examples. There are also over 130 additional exercises and many of the earlier ones have been revised. Furthermore, many more biographical notes and thumbnail portraits of mathematicians connected in some way with linear algebra have been added. This book continues to be very successful and useful, not only as a textbook for advanced linear algebra courses, but also for self-study and reference purposes.

Reviewer:

Rabe von Randow (Bonn)