Practical linear algebra : a geometry toolbox /

"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-...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Farin, Gerald E. (Author)
Other Authors: Hansford, Dianne (Editor)
Format: Electronic eBook
Language:Inglés
Published: Boca Raton, FL : CRC Press, [2014]
Edition:Third edition.
Subjects:
Algebras, Linear > Study and teaching.
Geometry, Analytic > Study and teaching.
Linear operators.
Algèbre linéaire > Étude et enseignement.
Géométrie analytique > Étude et enseignement.
Opérateurs linéaires.
MATHEMATICS > Algebra > Intermediate.
Algebras, Linear > Study and teaching
Geometry, Analytic > Study and teaching
Linear operators
Online Access:Texto completo (Requiere registro previo con correo institucional)
Table of 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.

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