Practical Linear Algebra

A Geometry Toolbox

Gerald Farin, Dianne Hansford

384 pages, parution le 15/02/2005

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Résumé

Practical Linear Algebra introduces students in mathematics, science, engineering, and computer science to Linear Algebra from an intuitive and geometric viewpoint, creating a level of understanding that goes far beyond mere matrix manipulations. Practical aspects, such as computer graphics topics and numerical strategies, are covered throughout, and thus students can build a "Geometry Toolbox," based on a geometric understanding of the key concepts.

This book covers all the standard linear algebra material for a first-year course; the authors teach by motivation, illustration, and example rather than by using a theorem/proof style. Special Features:

Clear visual representations (more than 200 figures) for improved material comprehension
Hand-drawn sketches encourage students to create their own sketches when solving problems-developing another layer of learning
Numerous examples show applications to real-world problems
Problems at the end of each chapter allow students to test their understanding of the material presented. Solutions to selected problems are provided
Concise chapter summaries highlight the most important points, giving students focus for their approach to learning

Praise for the first edition published as The Geometry Toolbox

"Written in a deceptively easy-to-read style,... this textbook provides a solid foundation in the mathematics needed for graphics and modeling ..."
Computing Reviews

"I teach computer graphics and this is the best treatment of transformation matrices for geometry I have seen. It is a little jewel. It also has a nice treatment of basic linear algebra in terms of geometric operations. My favorite part was the discussion of Cramer's rule and Gaussian Elimination in terms of geometry. A wonderful read, and I found the figures to be very helpful."
Peter Shirley, School of Computing, University of Utah

Sommaire

Preface
Descartes' Discovery
Here and There: Points and Vectors in 2D
Lining Up: 2D Lines
Changing Shapes: Linear Maps in 2D
2 * 2 Linear Systems
Moving Things Around: Affine Maps in 2D
Eigen Things
Breaking It Up: Triangles
Conics
3D Geometry
Interactions in 3D
Linear Maps in 3D
Affine Maps in 3D
General Linear Systems
General Linear Spaces
Numerical Methods
Putting Lines Together: Polylines and Polygons
Curves
Appendix A: Postscript Tutorial
Appendix B: Selected Problem Solutions

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Caractéristiques techniques

	PAPIER
Éditeur(s)	AK Peters
Auteur(s)	Gerald Farin, Dianne Hansford
Parution	15/02/2005
Nb. de pages	384
Format	19,5 x 25
Couverture	Relié
Poids	862g
Intérieur	Noir et Blanc
EAN13	9781568812342
ISBN13	978-1-56881-234-2