Mathematical programming : theory and methods

✍ Scribed by Sinha, S. M

• Publisher: Elsevier
• Year: 2006
• Tongue: English
• Leaves: 589
• Edition: 1st ed
• Category: Library

✦ Synopsis

Mathematical Programming, a branch of Operations Research, is perhaps the most efficient technique in making optimal decisions. It has a very wide application in the analysis of management problems, in business and industry, in economic studies, in military problems and in many other fields of our present day activities. In this keen competetive world, the problems are getting more and more complicated ahnd efforts are being made to deal with these challenging problems. This book presents from the origin to the recent developments in mathematical programming.
The book has wide coverage and is self-contained. It is suitable both as a text and as a reference.

A wide ranging all encompasing overview of mathematical programming from its origins to recent developments
A result of over thirty years of teaching experience in this feild
* A self-contained guide suitable both as a text and as a reference

✦ Table of Contents

Content: 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.