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This volume aims to present the state-of-the-art in the theory and practice of fractional programming in an orderly form. Possible fields of application for fractional programming methods are given first. Next, among others, the convex, quasi-convex, pseudo-convex, and log-convex functions are described. Methods for solving linear fractional programming problems, as well as non-linear problems are introduced and examined. Duality, multiple-objective, mathematical programming in complex space, integer and mixed integer subjects as applied to fractional programming are treated separately. Special problems and fractional transportation problems are also treated. §Audience: This book will be of interest to mathematicians, engineers, economists whose work involves the application of optimization theory.