Linear Algebra: A Geometric Approach
Taylor & Francis, 1993/05/15 - 384 ページ
This is an undergraduate textbook suitable for linear algebra courses. This is the only textbook that develops the linear algebra hand-in-hand with the geometry of linear (or affine) spaces in such a way that the understanding of each reinforces the other.
The text is divided into two parts: Part I is on linear algebra and affine geometry, finishing with a chapter on transformation groups; Part II is on quadratic forms and their geometry (Euclidean geometry), including a chapter on finite subgroups of 0 (2).
Each of the 23 chapters concludes with a generous helping of exercises, and a selection of these have solutions at the end of the book. The chapters also contain many examples, both numerical worked examples (mostly in 2 and 3 dimensions), as well as examples which take some of the ideas further. Many of the chapters contain "complements" which develop more special topics, and which can be omitted on a first reading. The structure of the book is designed to allow as much flexibility as possible in designing a course, either by omitting whole chapters or by omitting the "complements" or specific examples.
レビュー - レビューを書く
Review: A proper diet for mathematicians - 14 May 1994 - New Scientist
Appropriately, Linear Algebra: A Geometric Approach is written by an Italian mathematician, E. Sernesi; the translation is by James Montaldi. ...
www.newscientist.com/ article/ mg14219254.900-review-a-proper-diet-for-mathematicians.html