Synopses & Reviews
With the most geometric presentation now available, this reference emphasizes linear transformations as a unifying theme, and enables users to do both computational and abstract math in each chapter. A second theme is introduced half way through the text--when eigenvectors are reached--on dynamical systems. It also includes a wider range of problem sets than found in any other book in this market. Chapter topics include systems of linear equations; linear transformations; subspaces of Rn and their dimension; linear spaces; orthogonality and least squares; determinants; eigenvalues and eigenvectors; symmetric matrices and quadratic forms; and linear differential equations. For anyone seeking an introduction to linear algebra.
Synopsis
KEY BENEFIT: This trusted reference offers an intellectually honest, thought-provoking, sound introduction to linear algebra. Enables readers to grasp the subject with a challenging, yet visually accessible approach that does not sacrifice mathematical integrity. Adds over 400 new exercises to the problem sets, ranging in difficulty from elementary to more challenging. Adds new historical problems taken from ancient Chinese, Indian, Arabic, and early European sources. Strengthens geometric and conceptual emphasis. A comprehensive, thorough reference for anyone who needs to brush up on their knowledge of linear algebra.
Table of Contents
1. Systems of Linear Equations.
2. Linear Transformations.
3. Subspaces of Rn and Their Dimension.
4. Linear Spaces.
5. Orthogonality and Least Squares.
6. Determinants.
7. Eigenvalues and Eigenvectors.
8. Symmetric Matrices and Quadratic Forms.
9. Linear Differential Equations.