Cover of Optimization Theory: A Concise Introduction by Jiongmin Yong, ISBN 9780000988935
MATHEMATICAL PROGRAMMING

Optimization Theory: A Concise Introduction

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Paperback · ISBN 9780000988935

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Key Specifications

ISBN 9780000988935
Publisher World Scientific
Language English
Page count 236

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 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.