Linear Algebra, Infinite Dimensions,
and Maple

Preface for these notes.
Chapters 1 and 2
A Decomposition for Matrices
Exp(tA)
Chapters 3 and 4
Self Adjoint Transformations in Inner-Product Spaces
The Gerschgorin Circle Theorem
Chapters 5 and 6
Convergence
Orthogonality and Closest Point Projection
Chapters 7 and 8
Orthogonal, Nonexpansive, & Self-Adjoint Projections
Orthonormal Vectors
Chapters 9 and 10
The Finite Dimensional Paradigm
Bounded Linear Maps from E to C
Chapters 11 and 12
Applications to Differential Equations
The Simple Paradigm from E to E
Chapters 13 and 14�
Adjoint Operators
Compact Sets
Chapters 15 and 16
Compact Operators
The Space of Bounded Linear Operators
Chapters 17 and 18
The Eigenvalue Problem
Normal Operators and The More General Paradigm
Chapters 19 and 20
Compact Operators and Orthonormal Families
A Characterization of Compact Operators
Chapters 21 and 22
The Fredholm Alternative Theorems
Closed Operators
Chapter 23
The Deficiency of A
Chapter 24
A Problem in Control
Chapter 25
Approximation in a Hilbert Space with a reproducing kernel
Index for these notes.
Maple Constructions for the Text
Constructions in Chapters 1 and 2.
Constructions in Chapters 3 and 4,
Constructions in Chapters 5 and 6 ,
Constructions in Chapters 7 and 8 .
Constructions in Chapters 9 and 10,
Construction in Chapter 24

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