Practical Linear Algebra: A Geometry Toolbox, Third edition
Gerald Farin & Dianne Hansford
CRC Press, Taylor & Francis Group, An A K Peters Book
ISBN: 978-1-4665-7956-9

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Through many examples and real-world applications,
Practical Linear Algebra: A Geometry Toolbox, Third Edition
teaches undergraduate-level linear algebra in a comprehensive, geometric, and algorithmic way.

Designed for a one-semester linear algebra course at the undergraduate level, the book gives instructors the option of tailoring the course for the primary interests: math, engineering, science, computer graphics, and geometric modeling.

New to the Third Edition


To help students better visualize and understand the material, the text introduces the fundamental concepts of linear algebra first in a two-dimensional setting and then revisits these concepts and others in a three-dimensional setting. The text also discusses higher dimensions in various real-life applications. Triangles, polygons, conics, and curves are introduced as central applications of linear algebra.

Instead of using the standard theorem-proof approach, the text presents many examples and instructional illustrations to help students develop a robust, intuitive understanding of the underlying concepts.


To learn more, take a peek at the Table of Contents and Preface

Phoenix rotate

What's different about our approach to Linear Algebra?

The figures are not included as window dressing, in fact they play an important role in bringing the reader to a robust understanding of the mathematics. However they are not only instructional, they are also fun!

Least squares  affine map Quadratic form


Our motivation for writing PLA is described in our Fall 2005 TIES Magazine (design and technology education) article, "A Practical Approach to Teaching Linear Algebra."