Featuring the best current research in the field, and presenting information that has not been published previously, this timely volume provides an improved understanding of the theory of optimization, including a general version of the Hahn-Banach principle ... explains known algorithms, and increases the number of efficient algorithms at your disposal ... and describes the practical solution of numerous optimization problems. Widespread interest in optimization methods makes this book a primary reference source for pure mathematicians interested in theoretical foundations of optimization, applied mathematicians engaged in designing practical algorithms, and those who apply optimization theory in areas including industrial engineering, business administration, and operations research. Additionally, it serves as an invaluable aid to graduate students of mathematics, operations research, optimization theory and applications, and approximation theory. Book jacket.