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Book Cover
Author Farin, Gerald E., author.

Title Practical linear algebra : a geometry toolbox / Gerald Farin, Dianne Hansford
Edition Third edition
Published Boca Raton, FL : CRC Press, [2014]


Description 1 online resource (xvi, 488 pages) : illustrations
Contents Front Cover -- Dedication -- Contents -- Preface -- 1. Descartes' Discovery -- 2. Here and There: Points and Vectors in 2D -- 3. Lining Up: 2D Lines -- 4. Changing Shapes: Linear Maps in 2D -- 5. 2 2 Linear Systems -- 6. Moving Things Around: Affine Maps in 2D -- 7. Eigen Things -- 8. 3D Geometry -- 9. Linear Maps in 3D -- 10. Affine Maps in 3D -- 11. Interactions in 3D -- 12. Gauss for Linear Systems -- 13. Alternative System Solvers -- 14. General Linear Spaces -- 15. Eigen Things Revisited -- 16. The Singular Value Decomposition -- 17. Breaking It Up: Triangles -- 18. Putting Lines Together: Polylines and Polygons -- 19. Conics -- 20. Curves -- A. Glossary -- B. Selected Exercise Solutions -- Bibliography
Summary "Practical Linear Algebra covers all the concepts in a traditional undergraduate-level linear algebra course, but with a focus on practical applications. The book develops these fundamental concepts in 2D and 3D with a strong emphasis on geometric understanding before presenting the general (n-dimensional) concept. The book does not employ a theorem/proof structure, and it spends very little time on tedious, by-hand calculations (e.g., reduction to row-echelon form), which in most job applications are performed by products such as Mathematica. Instead the book presents concepts through examples and applications."-- Provided by publisher
Bibliography Includes bibliographical references
Notes Online resource; title from PDF title page (EBSCO, viewed April 18, 2018)
Subject Algebras, Linear -- Study and teaching
Geometry, Analytic -- Study and teaching
Linear operators.
MATHEMATICS -- Algebra -- Intermediate.
Algebras, Linear -- Study and teaching.
Geometry, Analytic -- Study and teaching.
Linear operators.
Form Electronic book
Author Hansford, Dianne, editor.
ISBN 9781466579583