Linear transformations and mappings are a running theme in this text. Geometric explication and history are heavily integrated. After the introduction of eigenvalues, dynamical systems becomes a running sub-theme. Has the finest collection of problems ever produced for this course.

Synopsis

An introduction to linear algebra which 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. The text introduces abstract concepts gradually. It uses visualization and geometrical interpretations extensively, and features both routine and thought-provoking problems and exercises involving abstract concepts and applications.

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