This book is written with the intention of bridging that gap. It was designed be used in one or more of several possible ways: -As a reference book; -As a self-study guide; -As a textbook for a course in advanced linear algebra, either at the upper-class undergraduate level or at the first-year graduate level. The book is self-contained to the extent that it not assume any previous knowledge of linear algebra. It does, however, assume a seriousness of purpose and modicum of mathematical sophistication on the part of the reader. There are almost 1000 exercises, many of them very challenging. There is a solutions manual to accompany this textbook which is available free to course adopters. If you would like a copy, please e-mail marlies.vlot@springer-sbm.com.
Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as computer science, the physical and social sciences, and engineering. It entails an extensive corpus of theoretical results as well as a large body of computational techniques.
The book is intended to be used in one of several possible ways:
(1) as a self-study guide;
(2) as a textbook for a course in advanced linear algebra, either at the upper-class undergraduate level or at the first-year graduate level; or
(3) as a reference book.
It is also designed to prepare a student for the linear algebra portion of prelim exams or PhD qualifying exams.
The volume is self-contained to the extent that it does not assume any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, to some basic ideas and techniques, such as the solution of a small system of linear equations over the real numbers. More importantly, it does assume a seriousness of purpose and a modicum of mathematical sophistication. The book also contains over 1000 exercises, many of which are very challenging.
€ 92,06