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Linear Algebra and Linear Operators in Engineering with Applications in Mathematica
H. Ted Davis and Kendall T. Thomson, 2000, Academic Press, 547 pages, hardbound.
Linear Algebra and Linear Operators in Engineering with Applications in Mathematica is 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 and working up to a treatment of eigenanalysis and the spectral resolution theorem. Contents include numerous Mathematica examples with full code and solutions to applications throughout engineering and the physical sciences. Chapters include: 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.
This book is available from The Mathematica Bookstore.