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Fully updated to reflect new developments in the field, the Fourth Edition of Introduction to Optimization fills the need for accessible treatment of optimization theory and methods with an emphasis on engineering design. Basic definitions and notations are provided in addition to the related fundamental background for linear algebra, geometry, and calculus.

Preface
PART 1 MATHEMATICAL REVIEW
1 Methods of Proof and Some Notation
2 Vector Spaces and Martices
3 Transformations
4 Concepts from Geometry
5 Elements of Calculus

PART 2 UNCONSTRAINED OPTIMIZATION
6 Basics of Set - Constrained and UInconstrained 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 3 LINEAR PROGRAMMING
15 Introduction to Linear Programming
16 Simplex Method
17 Duality
18 Nonsimplex Methods
19 Integer Linear Programming

PART 4 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