000 01471 a2200205 4500
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020 _a9789813237643
040 _cIIT Kanpur
041 _aeng
082 _a515
_bY8o
100 _aYong, Jiongmin
245 _aOptimization theory
_ba concise introduction
_cJiongmin Yong
260 _bWorld Scientific
_c2018
_aNew Jersey
300 _ax, 223p
520 _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.
650 _a Mathematical optimization
650 _aOptimization theory
942 _cBK
999 _c559141
_d559141