Practical linear algebra : a geometry toolbox

Practical Linear Algebra introduces students in math, 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. An instructor's online guide is available. 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.--jacket. Ch. 1. Descartes' Discovery -- Ch. 2. Here And There : Points And Vectors In 2d -- Ch. 3. Lining Up : 2d Lines -- Ch. 4. Changing Shapes : Linear Maps In 2d -- Ch. 5. 2 X 2 Linear Systems -- Ch. 6. Moving Things Around : Affine Maps In 2d -- Ch. 7. Eigen Things -- Ch. 8. Breaking It Up : Triangles -- Ch. 9. Conics -- Ch. 10. 3d Geometry -- Ch. 11. Interactions In 3d -- Ch. 12. Linear Maps In 3d -- Ch. 13. Affine Maps In 3d -- Ch. 14. General Linear Systems -- Ch. 15. General Linear Spaces -- Ch. 16. Numerical Methods -- Ch. 17. Putting Lines Together : Polylines And Polygons -- Ch. 18. Curves. Gerald Farin, Dianne Hansford. Includes Bibliographical References (p. 371-372) And Index. Practical Linear Algebra introduces students in math, 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. An instructor's manual will be available soon.