Matrices and Engineering Dynamics (Ellis Horwood Series in Engineering Science)

9780135617960: Matrices and Engineering Dynamics (Ellis Horwood Series in Engineering Science)

This is a description of matrices and their properties in which the authors, both in aeronautical engineering, define and develop the basic laws of matrix theory and apply them to the problems of linear engineering dynamics. They bring the subject up to date, relating it to computer methods and, throughout, maintain the use of simple mathematics. Numerical methods are dealt with as a major factor in the study of matrices, whilst methods are also provided for triangulation, reciprocation, solution of linear equations and eigenvalue problems of matrices and matrix pencils. At each stage, the various processes are explained, with each method, theorem or statement illustrated by numerical calculations. Other features include proof of Sylvester's law of degeneracy, definition of matrix partial fractures, the Inverse Method for stability boundaries, and new proofs for Sylvester's Law of Inertia and of the Wittrick-Williams and Simpson Counting algorithms. Later in the book, the algorithms are more appropriate for small computers. A computational adjunct is designed to accompany the book, with 12 programs which relate to the text.

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