The desire for a more matrix oriented linear algebra course expressed by engineers and scientists echos a more general trend in the subject away from the abstract approach. Every teacher of linear algebra knows that students "hit the wall" when the notion of an abstract vector space is introduced. One reason for this is that they are coping simultaneously with two new ideas: the concept of an abstract structure and mastering difficult notions like spanning, independence and linear transformations. Consequently, Nicholson, in Chp. 4, discusses topics like independence in the context of Rn so the students can deal with them without having to cope with the abstract baggage of an n-dimensional space. This has been classroom tested and works very well pedagogically.
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Dr. W. Keith Nicholson earned his undergraduate Degree in Applied Mathematics at the University of Alberta, and received his Ph.D. in Pure Mathematics from the University of California at Santa Barbara in 1970. He then moved to the University of Calgary, and has been a professor in the Department of Mathematics and Statistics since 1979, where he has been carrying out research in a branch of algebra called "Ring Theory". His continuing interest in teaching undergraduate students has led to another book in Linear Algebra (now in its third edition), a text in Abstract Algebra (second edition), and the creation (with Professor Claude Laflamme), of an internet tutorial for Linear Algebra called ILAW (Interactive Linear Algebra on the Web). Keith is married and has two grown sons.
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