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Introduction to Optimization (4E) written by Edwin Chong, Stanislaw Zak .
Optimization is central to any problem involving decision making, whether in engineering or in economics. The task of decision making entails choosing among various alternatives. This choice is governed by our desire to make the "best" decision. The measure of goodness of the alternatives is described by an objective function or performance index. Optimization theory and methods deal with selecting the best alternative in the sense of the given objective function.
This book is to give the reader a working knowledge of optimization theory and methods. To accomplish this goal, we include many examples that illustrate the theory and algorithms discussed in the text. However, it is not our intention to provide a cookbook of the most recent numerical techniques for optimization; rather, our goal is to equip the reader with sufficient background for further study of advanced topics in optimization.
Book Detail :-
Title: Introduction to Optimization
Edition: Fourth Edition
Author(s): Edwin K. P. Chong, Stanislaw H. Zak
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About Author :-
The author Edwin K. P. Chong is a Research Chinese Professor at The George Washington University and a former associate at the National Institute of Science and Technology (NIST). He was the Engineering Advisor, Interim Division Director and program director of Mechanics and Materials at various times for 21 years at the U.S. National Science Foundation.
He has taught at the University of Wyoming, University of Hong Kong, University of Houston, and George Washington University [www.gwu.edu/] and had been visiting professor at MIT and University of Washington.
He has published over 200 refereed papers, and is the author or coauthor of twelve books including "Elasticity in Engineering Mechanics", "Intelligent Structures", "Modeling and Simulation-Based Life Cycle Engineering", "Mechanics of Oil Shale", and "Materials for the New Millennium".
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• Download PDF Numerical Analysis, 3E by G. Shanker Rao
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Book Contents :-
Introduction to Optimization (4E) written by Edwin Chong, Stanislaw Zak cover the following topics. '
Part-I MATHEMATICAL REVIEW
1. Methods of Proof and Some Notation
2. Vector Spaces and Matrices
4. Concepts from Geometry
5. Elements of Calculus
Part-II UNCONSTRAINED OPTIMIZATION
6. Basics of Set-Constrained and Unconstrained Optimization
7. One-Dimensional Search Methods
8. Gradient Methods
9. Newton's Method
10. Conjugate Direction Methods
11. Quasi-Newton Methods
12. Solving Linear Equations
13. Unconstrained Optimization and Neural Networks
14. Global Search Algorithms
Part-III LINEAR PROGRAMMING
15. Introduction to Linear Programming
16. Simplex Method
18. Nonsimplex Methods
19. Integer Linear Programming
Part-IV NONLINEAR CONSTRAINED OPTIMIZATION
20. Problems with Equality Constraints
21. Problems with Inequality Constraints
22. Convex Optimization Problems
23. Algorithms for Constrained Optimization
24. Multiobjective Optimization
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