Peter Olver is Professor of Mathematics at University of Minnesota, Twin Cities. His research centers around Lie groups, differential equations, and various areas of applied mathematics. His previous books include Introduction to Partial Differential Equations (Springer, UTM, 2014), and Applications of Lie Groups to Differential Equations (Springer, GTM 107, 1993).Chehrzad Shakiban is Professor of Mathematics at University of St. Thomas, St. Paul. Her interests include calculus of variations, computer vision, and innovative learning experiences that illustrate connections between mathematics and the arts.

• 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.

Peter Olver is Professor of Mathematics at University of Minnesota, Twin Cities. His research centers around Lie groups, differential equations, and various areas of applied mathematics. His previous books include Introduction to Partial Differential Equations (Springer, UTM, 2014), and Applications of Lie Groups to Differential Equations (Springer, GTM 107, 1993).Chehrzad Shakiban is Professor of Mathematics at University of St. Thomas, St. Paul. Her interests include calculus of variations, computer vision, and innovative learning experiences that illustrate connections between mathematics and the arts.

• 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.

Peter Olver is Professor of Mathematics at University of Minnesota, Twin Cities. His research centers around Lie groups, differential equations, and various areas of applied mathematics. His previous books include Introduction to Partial Differential Equations (Springer, UTM, 2014), and Applications of Lie Groups to Differential Equations (Springer, GTM 107, 1993).Chehrzad Shakiban is Professor of Mathematics at University of St. Thomas, St. Paul. Her interests include calculus of variations, computer vision, and innovative learning experiences that illustrate connections between mathematics and the arts.

• 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.