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Linear Programming: An Introduction with Applications

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This book is aimed at freshman, sophomores, and juniors in college who are even remotely interested in some of the current applications of mathematics to the real world. The difficulty with most of the other linear programming books on the market is that they are high end books, written primarily in a fairly rigorous fashion using a great deal of linear algebra. These books are written on a variety of levels but almost always require that the student have a high level of mathematical sophistication. This shuts out a large number of people who could really benefit from a course like this. There is no book that I know of on the market that is written without a linear algebra prerequisite, and yet is mathematically honest. This book, I believe, is the first.

The approach taken is pedagogically a very simple one, using the compact tableau. It is self-contained and so simple that the only prerequiste is a knowledge of high school algebra. This is where my book differs so drastically from the others. To illustrate just two examples, one should compare the proofs of the simplex method (Chapter 4) and the approach to duality and sensitivity analysis (Chapters 5 and 6) that I take to those found in current texts. The difference is striking.

My students' response to the approach of this book has been gratifying. Many of the students I have taught have found this material so exciting that they have gone on to graduate school in operations research as a result of taking the course on which this book is based. Because some of your students may feel the same way, I have included short chapters on dynamic programming, goal programming, and network analysis to whet their appetites.

Includes one IBM/PC floppy disk. System Requirements: Monochrome monitors, IBM-compatible machines, minimum: 286 IBM, DOS 2.0 or higher. This book gives a complete, concise introduction to the theory and applications of linear programming. It emphasizes the practical applications of mathematics, and makes the subject more accessible to individuals with varying mathematical abilities. It is one of the first rigorous linear programming texts that does not require linear algebra as a prerequisite. In addition, this text contains a floppy disk containing the program SIMPLEX, designed to help students solve problems using the computer.

Key Features
* Less rigorous mathematically - will appeal to individuals with varying mathematical abilities
* Includes a floppy disk containing the program SIMPLEX and an appendix to help students solve problems using the computer
* Includes chapters on network analysis and dynamic programming - topics of great interest to business majors and industrial engineers
* Includes modem applications - selected computer programs for solving various max/min applications

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