Oriented matroids are a very natural mathematical concept which presents itself in many different guises, and which has connections and applications to many different areas. These include discrete and computational geometry, combinatorics, convexity, topology, algebraic geometry, operations research, computer science and theoretical chemistry. This is the first comprehensive and accessible account of the subject. This book is intended for a diverse audience: graduate students who wish to learn the subject from scratch, researchers in the various fields of application who want to concentrate on certain aspects of the theory, specialists who need a thorough reference work, and others at points in between. A list of exercises and open problems ends each chapter, and the work is rounded off by an up-to-date and exhaustive reference list.
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..".a carefully written and rather complete presentation of one of the most interesting finite structures discovered in the lsat three decades: the oriented matroids...an outstanding addition to the literature of mathematics. It is highly recommended both for readers working in combinatorics and for those interested in acquiring a good vision of the 'state of the art' of one of the most notable discrete stryctures recently discovered...this very satisfying book also contains several new results that were developed in the course of its preparation. A large list of exercises and open problems is included. Raul Cordovil, Mathematical Reviews
This is the first comprehensive and accessible account of oriented matroids and it is intended for a diverse audience: graduate students who wish to learn the subject from scratch, researchers who want to concentrate on certain aspects of the theory, and specialists who need a thorough reference work.
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