Paperback. The coverage is standard: linear systems and Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues.Prerequisites: A semester of calculus. Students with three semesters of calculus can skip a few sections.Applications: Each chapter has three or four discussions of additional topics and applications. These are suitable for independent study or for small group work.What makes it different? The approach is developmental. Although the presentation is focused on covering the requisite material by proving things, it does not start with an assumption that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise the level of mathematical maturity of the class. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Bibliographic Details

Title: Linear Algebra (Paperback)
Publisher: CreateSpace Independent Publishing Platform
Publication Date: 2008
Language: English
ISBN 10: 1440473471
ISBN 13: 9781440473470
Binding: Paperback
Condition: new

About this title

Synopsis

This text covers a standard first course: Gauss’s Method, vector spaces, linear maps and matrices, determinants, and eigenvalues and eigenvectors. In addition, each chapter ends with some brief topics, such as applications. What sets it apart is careful motivation, many examples, and extensive exercise sets. Together, these help each student master the material of the course and also help an instructor develop that student’s level of mathematical maturity.

From the Author

For a quick look, I suggest the second chapter. The first chapter is necessarily computational but the second chapter shows more clearly what the book works on: bridging between lower-division mathematics with its reliance on explicitly-given algorithms, and upper division college mathematics with its emphasis on concepts and proof.

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