000 01329nam a2200157 4500
020 _a9780000988935
082 _a519
_bYON/O
100 _aYong, Jiongmin
245 _aOptimization theory: a concise introduction
260 _aNew Jersey
_bWorld scientific
_c2020
300 _a223 p.
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 onesemester 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 _aMathematical optimization
650 _aProgramming (Mathematics)
942 _cBK
999 _c64272
_d64272