TY - BOOK AU - Farin,Gerald AU - Hansford,Dianne TI - Practical linear algebra: a geometry toolbox SN - 9781466579569 (hardback) U1 - 512.5 23 PY - 2014/// CY - Boca Raton PB - CRC Press KW - Linear algebras KW - study and teaching KW - Analytic geometry, KW - Linear operators N1 - Includes bibliographical references and index; 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 Appendix A. Glossary; Appendix B. Selected Exercise Solutions; Bibliography; Index N2 - 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. ER -