An introduction to both the theory and the practical application of linear algebra and functional analysis designed for advanced engineering and physical science students. The book is self-contained, beginning with elementary principles working up to a treatment of eigenanalysis and the spectral resolution theorem. Contains numerous Mathematica
examples with full code and solutions to applications throughout engineering and the physical sciences.
Determinants | Vectors and Matrices | Solution of Linear and Nonlinear Systems | General Theory of Solvability of Linear Algebraic Equations | The Eigenproblem | Perfect Matrices | Imperfect or Defective Matrices | Infinite-Dimensional Linear Vector Spaces | Linear Integral Operators in a Hilbert Space | Linear Differential Operators in a Hilbert Space | Appendix