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Linear Programming Duality: An Introduction to Oriented Matroids (Universitext) [Paperback]

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Item description for Linear Programming Duality: An Introduction to Oriented Matroids (Universitext) by Achim Bachem & Walter Kern...

This book presents an elementary introduction to the theory of oriented matroids. The way oriented matroids are intro- duced emphasizes that they are the most general - and hence simplest - structures for which linear Programming Duality results can be stated and proved. The main theme of the book is duality. Using Farkas' Lemma as the basis the authors start withre- sults on polyhedra in Rn and show how to restate the essence of the proofs in terms of sign patterns of oriented ma- troids. Most of the standard material in Linear Programming is presented in the setting of real space as well as in the more abstract theory of oriented matroids. This approach clarifies the theory behind Linear Programming and proofs become simpler. The last part of the book deals with the facial structure of polytopes respectively their oriented matroid counterparts. It is an introduction to more advanced topics in oriented matroid theory. Each chapter contains suggestions for furt- herreading and the references provide an overview of the research in this field.

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Item Specifications...

Pages   220
Est. Packaging Dimensions:   Length: 0.5" Width: 6.25" Height: 9.25"
Weight:   0.8 lbs.
Binding  Softcover
Release Date   Aug 26, 1992
Publisher   Springer
ISBN  3540554173  
ISBN13  9783540554172  

Availability  125 units.
Availability accurate as of Oct 23, 2016 05:53.
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