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Linear algebra and linear operators in engineering : with applications in Mathematica

Author: H Ted Davis; Kendall T Thomson
Publisher: San Diego : Academic Press, ©2000.
Series: Process systems engineering, v. 3.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and the practical application of linear algebra and functional analysis. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. Principal theorems are covered and effective application tools are developed, working up to a  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: H Ted Davis; Kendall T Thomson
ISBN: 012206349X 9780122063497
OCLC Number: 44733485
Description: xi, 547 pages : illustrations ; 26 cm.
Contents: Determinants --
Matrices --
Definition of a Determinant --
Elementary Properties of Determinants --
Cofactor Expansions --
Cramer's Rule for Linear Equations --
Minors and Rank of Matrices --
Vectors and Matrices --
Addition and Multiplication --
The Inverse Matrix --
Transpose and Adjoint --
Partitioning Matrices --
Linear Vector Spaces --
Solution of Linear and Nonlinear Systems --
Simple Gauss Elimination --
Gauss Elimination with Pivoting --
Computing the Inverse of a Matrix --
LU-Decomposition --
Band Matrices --
Iterative Methods for Solving Ax = b --
Nonlinear Equations --
General Theory of Solvability of Linear Algebraic Equations --
Sylvester's Theorem and the Determinants of Matrix Products --
Gauss-Jordan Transformation of a Matrix --
General Solvability Theorem for Ax = b --
Linear Dependence of a Vector Set and the Rank of Its Matrix --
The Fredholm Alternative Theorem --
The Eigenproblem --
Linear Operators in a Normed Linear Vector Space --
Basis Sets in a Normed Linear Vector Space --
Eigenvalue Analysis --
Some Special Properties of Eigenvalues --
Calculation of Eigenvalues --
Perfect Matrices --
Implications of the Spectral Resolution Theorem --
Diagonalization by a Similarity Transformation --
Matrices with Distinct Eigenvalues --
Unitary and Orthogonal Matrices --
Semidiagonalization Theorem --
Self-Adjoint Matrices --
Normal Matrices --
The Initial Value Problem --
Perturbation Theory --
Imperfect or Defective Matrices --
Rank of the Characteristic Matrix --
Jordan Block Diagonal Matrices.
Series Title: Process systems engineering, v. 3.
Responsibility: H. Ted Davis, Kendall T. Thomson.
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Abstract:

Designed for advanced engineering, physical science, and applied mathematics students, this book offers an introduction to both the theory and practical application of linear algebra and functional  Read more...

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