Practical Linear Algebra A Geometry Toolbox | Computer Science

Linear algebra is growing in importance. 3D entertainment animations in movies and video games are developed using linear algebra. Animated characters are generated using equations straight out of this book. Linear algebra is used to extract knowledge from the massive amounts of data generated from modern technology. The Fourth Edition of this popular text introduces linear algebra in a comprehensive geometric and algorithmic way. The authors start with the fundamentals in 2D and 3D then move on to higher dimensions expanding on the fundamentals and introducing new topics which are necessary for many real-life applications and the development of abstract thought. Applications are introduced to motivate topics. The subtitle A Geometry Toolbox hints at the book’s geometric approach which is supported by many sketches and figures. Furthermore the book covers applications of triangles polygons conics and curves. Examples demonstrate each topic in action. This practical approach to a linear algebra course whether through classroom instruction or self-study is unique to this book. New to the Fourth Edition: Ten new application sections A new section on change of basis. This concept now appears in several places Chapters 14-16 on higher dimensions are notably revised A deeper look at polynomials in the gallery of spaces Introduces the QR decomposition and its relevance to least squares Similarity and diagonalization are given more attention as are eigenfunctions A longer thread on least squares running from orthogonal projections to a solution via SVD and the pseudoinverse More applications for PCA have been added More examples exercises and more on the kernel and general linear spaces A list of applications has been added in Appendix A The book gives instructors the option of tailoring the course for the primary interests of their students: mathematics engineering science computer graphics and geometric modeling. |Practical Linear Algebra A Geometry Toolbox | Computer Science