Linear Algebra with Applications – Otto Bretscher – 3rd Edition

This introduction to linear algebra focuses on dynamical systems — continuous and discrete — as a unifying theme, as motivation for eigenvectors, and in examples of major applications of linear algebra — particularly systems of differential equations.

Pedagogically strong ,it introduces abstract concepts gradually and gently — without “spoon feeding” students. It uses visualization and geometrical interpretations extensively and features an abundance of both routine and thought-provoking problems and exercises involving abstract concepts and applications. –This text refers to an out of print or unavailable edition of this title.

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. –This text refers to an out of print or unavailable edition of this title.