Linear Algebra, Infinite Dimensions, and Maple

Contents: A Decomposition for Matrices Exp(tA); Self Adjoint Transformations in Inner-Product Spaces The Gerschgorin Circle Theorem; Convergence Orthogonality and Closest Point Projection; Orthogonal, Nonexpansive, & Self-Adjoint Projections; Orthonormal Vectors; The Finite Dimensional Paradigm Bounded Linear Maps from E to C; Applications to Differential Equations; The Simple Paradigm from E to E; Adjoint Operators; Compact Sets; Compact Operators; The Space of Bounded Linear Operators; The Eigenvalue Problem; Normal Operators and The More General; Paradigm; Compact Operators and Orthonormal Families; A Characterization of Compact Operators; The Fredholm Alternative Theorems Closed Operators; The Deficiency of A; A Problem in Control; Approximation in a Hilbert Space with a reproducing kernel.