000 02403cam a2200325 i 4500
999 _c39737
_d39737
001 20561141
005 20190424142545.0
008 180514s2018 njua b 001 0 eng c
010 _a 2018014044
020 _a9789813237643 (hardcover : alk. paper)
040 _aLBSOR/DLC
_beng
_cLBSOR
_erda
_dDLC
042 _apcc
050 0 0 _aQA402.5
_b.Y66 2018
082 0 0 _a519.6 YON-J
100 1 _aYong, Jiongmin
245 1 0 _aOptimization theory :
_ba concise introduction /
_cJiongmin Yong
260 _aSingapore
_bWorld Scientific Publishing
_c2018
300 _a223 p.
365 _aUSD
_b78.00.
500 _aMathematically, 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.
504 _aIncludes bibliographical references and index.
505 0 _aMathematical preparations -- Optimization problems and existence of optimal solutions -- Necessary and sufficient conditions of optimal solutions -- Problems with convexity and quasi-convexity conditions -- Linear programming.
520 _a"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"--
650 0 _aMathematical optimization.
650 0 _aMathematical analysis.
906 _a7
_bcbc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
942 _2ddc
955 _aLBSOR
_axn13 2018-09-06 1 copy rec'd., to CIP ver.
_arl00 2018-09-12 to SMA