Farin, Gerald; Hansford, Dianne
The Geometry Toolbox takes a novel and particularly visual approach to teaching the basic concepts of two- and three-dimensional geometry. It explains the geometry essential for today's computer modeling, computer graphics, and animation systems. While the basic theory is completely covered, the emphasis of the book is not on abstract proofs but rather on examples and algorithms. The Geometry Toolbox is the ideal text for professionals who want to get acquainted with the latest geometric tools. The chapters on basic curves and surfaces form an ideal stepping stone into the world of graphics and modeling. It is also a unique textbook for a modern introduction to linear algebra and matrix theory.
1. Descartes' Discovery 2. Here and There: Points and Vectors in 2D 3. Lining Up — 2D Lines 4. Linear Maps in 2D 5. 2 x 2 Linear Systems 6. Moving Things Around: Affine Maps 7. Eigen Things 8. Breaking It Up: Triangles 9. Conics 10. 3D Geometry 11. Interactions in 3D 12. Linear Maps in 3D 13. Affine Maps in 3D 14. General Linear Systems 15. Putting Lines Together: Polylines and Polygons 16. Curves
This book focus on two-dimensional concepts, and then these concepts are reinforced by covering them in three dimensions in geometry. It serves as an introduction to linear algebra for engineers or computer scientists as well as a general introduction to geometry.
A visual approach to teaching the basic concepts of two- and three-dimensional geometry. The text covers all major geometric concepts: points and vectors; lines and planes; maps and matrices; and conics and curves. Information on a dedicated web site, and others of interest, is given.
1. Descartes' Discovery 2. Here and There: Points and Vectors in 2D 3. Lining Up - 2D Lines 4. Linear Maps in 2D 5. 2 x 2 Linear Systems 6. Moving Things Around: Affine Maps 7. Eigen Things 8. Breaking It Up: Triangles 9. Conics 10. 3D Geometry 11. Interactions in 3D 12. Linear Maps in 3D 13. Affine Maps in 3D 14. General Linear Systems 15. Putting Lines Together: Polylines and Polygons 16. Curves
Klappentext
A visual approach to teaching the basic concepts of two- and three-dimensional geometry. The text covers all major geometric concepts: points and vectors; lines and planes; maps and matrices; and conics and curves. Information on a dedicated web site, and others of interest, is given.
