Applied Linear Algebra

• Main Authors: Olver, Peter J. (Author, http://id.loc.gov/vocabulary/relators/aut), Shakiban, Chehrzad (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 2nd ed. 2018.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Matrix theory.; Algebra.; Mathematical physics.; Linear and Multilinear Algebras, Matrix Theory.; Mathematical Applications in the Physical Sciences.

This textbook develops the essential tools of linear algebra, with the goal of imparting technique alongside contextual understanding. Applications go hand-in-hand with theory, each reinforcing and explaining the other. This approach encourages students to develop not only the technical proficiency...

Table of Contents:

• Preface
• 1. Linear Algebraic Systems
• 2. Vector Spaces and Bases
• 3. Inner Products and Norms
• 4. Minimization and Least Squares Approximation
• 5. Orthogonality
• 6. Equilibrium
• 7. Linearity
• 8. Eigenvalues
• 9. Linear Dynamical Systems
• 10. Iteration of Linear Systems
• 11. Boundary Value Problems in One Dimension
• References
• Index.