00000cam a22000004a 4500 UP-99796217613958182 Buklod 20230801101318.0 m |o d | ta 230801s2018 njua rb 001 0 eng d 9789813237643 (hardcover : alk. paper) (iLib)UPD-00536371481 DSTC rda eng DMLUC QA 402.5 Y66 2018 Yong, J. (Jiongmin), 1958- author Optimization theory a concise introduction Jiongmin Yong. New Jersey World Scientific [2018] x, 223 pages illustrations 24 cm text rdacontent unmediated rdamedia volume rdavolume Includes bibliographical references and index Mathematical preparations -- Optimization problems and existence of optimal solutions -- Necessary and sufficient conditions of optimal solutions -- Problems with convexity and quasi-convexity conditions -- Linear programming. Mathematically, most of the interesting optimization problems can be formulated to optimize some objective function, subject to some equality and/or inequality constraints. This book introduces some classical and basic results of optimization theory, including nonlinear programming with Lagrange multiplier method, the Karush-Kuhn-Tucker method, Fritz John's method, problems with convex or quasi-convex constraints, and linear programming with geometric method and simplex method. A slim book such as this which touches on major aspects of optimization theory will be very much needed for most readers. We present nonlinear programming, convex programming, and linear programming in a self-contained manner. This book is for a one-semester course for upper level undergraduate students or first/second year graduate students. It should also be useful for researchers working on many interdisciplinary areas other than optimization. Mathematical optimization. Mathematical analysis. Book FO Monograph UPD DIM QA 402.5 Y66 2018 UPD DSTC QA 402.5 Y66 2018 Book