Preface to the Second Edition.
Preface.
Chapter 1: Introduction.
1.1 Optimization Fundamentals.
1.2 Introduction to MATLAB.
Problems.
Chapter 2: Graphical Optimization.
2.1 Problem Definition.
2.2 Graphical Solution.
2.3 Additional Examples.
2.4 Additional MATLAB Graphics.
References.
Problems.
Chapter 3: Linear Programming.
3.1 Problem Definition.
3.2 Graphical Solution.
3.3 Numerical Solution - The Simplex Method.
3.4 Additional Examples.
3.5.Additional Topics in Linear Programming.
References.
Problems.
Chapter 4: Nonlinear Programming.
4.1 Problem Definition.
4.2 Mathematical Concepts.
4.3 Analytical Conditions.
4.4 Examples.
4.5 Additional Topics.
References.
Problems.
Chapter 5: Numerical Techniques - The One Dimensional Problem.
5.1 Problem Definition.
5.2 Numerical Techniques.
5.3 Importance of the One Dimensional Problem.
5.4 Additional Examples.
References.
Problems.
Chapter 6: Numerical Techniques for Unconstrained Optimization.
6.1 Problem Definition.
6.2 Numerical Techniques: Non Gradient Methods.
6.3 Numerical Technique: Gradient Based Methods.
6.4 Numerical Technique: Second Order.
6.5 Additional Examples.
6.6 Summary.
References.
Problems.
Chapter 7: Numerical Techniques for Constrained Optimization.
7.1 Problem Definition.
7.2 Indirect Methods for Constrained Optimization.
7.3 Direct Methods for Constrained Optimization.
7.4 Additional Examples.
References.
Problems.
Chapter 8: Discrete Optimization.
8.1 Concepts in Discrete Programming.
8.2 Discrete Optimization Techniques.
8.3 Additional Examples.
References.
Problems.
Chapter 9: Global Optimization.
9.1 Problem Definition.
9.2 Numerical Techniques and Additional Examples.
References.
Problems.
Chapter 10: Optimization Toolbox from MATLAB.
10.1 The Optimization Toolbox.
10.2 Examples.
References.
Chapter 11: Hybrid Mathematics: An Application of.
11.1 Central Idea.
11.2 Data Handling Examples.
11.3. Solutions to Differential Systems.
11.4 Summary.
References.
Index.
P. Venkataraman, PhD, is an associate professor in the Mechanical Engineering Department, Rochester Institute of Technology, Rochester, New York.
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