2013 | ISBN-10: 0070401098 |586 Pages | PDF | 27 MB

Nicholson Linear Algebra" 6e introduces the general idea of Linear Algebra much earlier than the competition keeping with the same rigorous and concise approach to linear algebra. Along with the many diagrams and examples that help students visualize, the 7e also keeps with the continuous introduction of concepts.
This textbook is an introduction to the ideas and techniques of linear algebra for first- or second-year students with a working knowledge of high school algebra. The contents have enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1-4 contain a one-semester course for beginners whereas Chapters 5-9 contain a second semester course (see the Suggested Course Outlines below). The text is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A). Overall,
the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. Calculus is not a prerequisite; places where it is mentioned may be omitted.
As a rule, students of linear algebra learn by studying examples and solving problems. Accordingly, the book contains a variety of exercises (over 1200, many with multiple parts), ordered as to their difficulty. In addition, more than 375 solved examples are included in the text, many of which are computational in nature.
The examples are also used to motivate (and illustrate) concepts and theorems, carrying the student from concrete to abstract. While the treatment is rigorous, proofs are presented at a level appropriate to the student and may be omitted with no loss of continuity.