Engineering Analysis A Vector Space Approach

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.

Engineering analysis : a vector space approach

Optimization by Vector Space Methods

Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.