Engineering Analysis

Providing a repertoire of analytical tools, useful in the formulation and solution of a variety of engineering analysis problems, particularly problems which make use of the concept of linearity, this book presents a unified treatment of linear spaces, in particular, linear transformations and linear systems. Treatment is thorough - both the finite-dimensional and infinite- dimensional cases are covered. Text proceeds from the general to the particular - important special cases are deduced from the general case - giving the reader a powerful mathematical framework of wide applicability, rather than a list of apparently disparate techniques. The underlying theme of linearity ties the entire presentation together and makes for a unified treatment of the topics investigated. Tables and graphs of classic orthogonal polynomials and algorithms for analysis of finite-dimensional linear transformations are included.