Optimization is an important field in its own right but also plays a central role in numerous applied sciences, including operations research, management science, economics, finance, and engineering.
__Optimization — Theory and Practice__ offers a modern and well-balanced presentation of various optimization techniques and their applications. The book's clear structure, sound theoretical basics complemented by insightful illustrations and instructive examples, makes it an ideal introductory textbook and provides the reader with a comprehensive foundation in one of the most fascinating and useful branches of mathematics.
Notable features include:
* Detailed explanations of theoretic results accompanied by supporting algorithms and exercises, often supplemented by helpful hints or MATLAB®/MAPLE® code fragments;
* an overview of the MATLAB® Optimization Toolbox and demonstrations of its uses with selected examples;
* accessibility to readers with a knowledge of multi-dimensional calculus, linear algebra, and basic numerical methods.
Written at an introductory level, this book is intended for advanced undergraduates and graduate students, but may also be used as a reference by academics and professionals in mathematics and the applied sciences.

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lgli/F:\Library.nu\6f\_183233.6fd7c94326ec4136ce3bf2fa4a199989.pdf

scihub/10.1007/978-0-387-78977-4.pdf

Optimization : theory and practice

Forst, Wilhelm, Hoffmann, Dieter

Copernicus

Telos

Springer undergraduate texts in mathematics and technology, Springer undergraduate texts in mathematics and technology, New York, London, New York State, 2010

United States, United States of America

2010, 2010-07-26

до 2011-01

sm21658091

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Includes bibliographical references and index.

Optimization is a field important in its own right but is also integral to numerous applied sciences, including operations research, management science, economics, finance and all branches of mathematics-oriented engineering. Constrained optimization models are one of the most widely used mathematical models in operations research and management science. This book gives a modern and well-balanced presentation of the subject, focusing on theory but also including algorithims and examples from various real-world applications. Detailed examples and counter-examples are provided--as are exercises, solutions and helpful hints, and Matlab/Maple supplements.

Front Matter....Pages i-xviii
Introduction....Pages 1-34
Optimality Conditions....Pages 35-86
Unconstrained Optimization Problems....Pages 87-150
Linearly Constrained Optimization Problems....Pages 151-212
Nonlinearly Constrained Optimization Problems....Pages 213-240
Interior-Point Methods for Linear Optimization....Pages 241-298
Semidefinite Optimization....Pages 299-340
Global Optimization....Pages 341-363
Back Matter....Pages 365-402

2011-06-04