Linear Geometry by K. W.; Weir, A. J. Gruenberg

Graduate Texts in Mathematics #49

by K.W. Gruenberg

This is essentially a book on linear algebra. But the approach is somewhat unusual in that we emphasise throughout the geometric aspect of the subject. The material is suitable for a course on linear algebra for mathe­ matics majors at North American Universities in their junior or senior year and at British Universities in their second or third year. However, in view of the structure of undergraduate courses in the United States, it is very possible that, at many institutions, the text may be found more suitable at the beginning graduate level. The book has two to provide a basic course in linear algebra up to, and including, modules over a principal ideal domain; and to explain in rigorous language the intuitively familiar concepts of euclidean, affine, and projective geometry and the relations between them. It is increasingly recognised that linear algebra should be approached from a geometric point of VIew. This applies not only to mathematics majors but also to mathematically-oriented natural scientists and engineers.

Genres: Mathematics, Geometry, Algebra

Hardcover

First published June 30, 1977

Reviews

[Shaun Zhang · Rating 3 out of 5]

Linear geometry aims at providing a geometric view towards linear algebra. But I don't think it is a good way. This very short textbook mainly talks about affine geometry and projective geometry, with some important properties and theorems. Except some notions are the same in linear algebra, few things, especially important ones, overlap.