Publisher's Synopsis
This text, ideally suited for a first course on optimization, gives a detailed mathematical exposition to various optimization techniques. Laying emphasis on mathematical rigour and technique oriented applications.;Topics covered are: mathematical preliminaries; single variable optimization; direct methods for unconstrainted optimization - classical and evolutionary algorithms; gradient based methods for and evolutionary algorithms unconstrained optimization methods; linear programming; nonlinear constrained optimization methods.;Key features include: development of mathematical foundations; unified mode of presentation - discussion of a case study, exposition of mathematical techniques, sample problems and description of algorithms and solution analysis; convergence analysis of computed values through appropriate theorems and graphical and tabulated display - for visual realization; introduction to evolutionary algorithms; and applicability for practising scientists and engineers as well as researchers in mathematical and applied science.
