Mathematical programming : theory and methods

Front Cover; Mathematical Programming: Theory and Methods; Copyright Page; Contents; Chapter 1. Introduction; 1.1 Background and Historical Sketch; 1.2. Linear Programming; 1.3. Illustrative Examples; 1.4. Graphical Solutions; 1.5. Nonlinear Programming; PART 1: MATHEMATICAL FOUNDATIONS; Chapter 2. Basic Theory of Sets and Functions; Chapter 3. Vector Spaces; Chapter 4. Matrices and Determinants; Chapter 5. Linear Transformations and Rank; Chapter 6. Quadratic Forms and Eigenvalue Problems; Chapter 7. Systems of Linear Equations and Linear Inequalities; Chapter 8. Convex Sets and Convex Cones
Mathematical Programming, a branch of Operations Research, is perhaps the most efficient technique in making optimal decisions. This self-contained book is an overview of mathematical programming from its origins. It is suitable both as a text and as a reference.