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"Biased towards functional methods, this work presents a polynomial approach to Linear Algebra. Using the shift operator as a central object it makes linear algebra a suitable introduction to other areas of mathematics, particularly operator theory."

"Matrix Analysis and Applied Linear Algebra is an honest math text that circumvents the traditional definition-theorem-proof format that has bored students in the past. Meyer uses a fresh approach to introduce a variety of problems and examples ranging from the elementary to the challenging and from simple applications to discovery problems. The focus on applications is a big difference between this book and others. Meyer's book is more rigorous and goes into more depth than some. He includes some of the more contemporary topics of applied linear algebra which are not normally found in undergraduate textbooks. Modern concepts and notation are used to introduce the various aspects of linear equations, leading readers easily to numerical computations and applications. The theoretical developments are always accompanied with examples, which are worked out in detail. Each section ends with a large number of carefully chosen exercises from which the students can gain further insight."

"Contents: 1. Systems of linear equations and matrices --2. Determinants --3. Euclidian vector spaces --4. General vector spaces --5. Eignvalues and eigenvectors --6. Inner product spaces --7. Diagonolization and quadratic forms --8. General linear transformations --9. Numerical methods."