Linear programming is an extremely useful area of applied
mathematics and is used on a daily basis by many industries. Most
books on linear programming require an in depth knowledge of linear
algebra in their exposition, making the subject matter inaccessible
to the average reader. This second edition continues the
presentation of the subject from a very elementary point of view,
using as a foundation just a basic knowledge of high school
algebra. The author manages to go into great depth with these
minimal prerequisites, and helps the reader understand even some of
the most subtle aspects of the subject. This is accomplished by
weaving some of the more difficult ideas into informal proofs, with
the result that the reader often doesn't even know he or she is
reading very difficult material. Some formal proofs are included,
and even these are often broken down into small steps to give them
clarity. The reader who gets through the whole book will have a
strong knowledge of linear programming and also a good basic
knowledge of the related areas of game theory, integer programming,
goal programming, network analysis, and dynamic programming. This
book can be (and has been) used as a primary text for a course in
linear programming and related topics. It can also be used for self
study by the person who wants to know more about this fascinating
and very useful subject. Exercises have been carefully chosen to
illustrate a broad range of applications that occur in practice
leaving the reader with an appreciation of the wide applicability
of this subject to real life problems. Also, solutions to many of
the exercises are given, making this an ideal book for the person
who is studying this subject independently. A limited number of
examination copies are available for instructors who wish to
consider this book for adoption. Please contact the author at
[email protected] to receive one.
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