Oriented Matroids (Encyclopedia of Mathematics and its Applications)

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9780511586507: Oriented Matroids (Encyclopedia of Mathematics and its Applications)

This second edition of the first comprehensive, accessible account of the subject is intended for a diverse audience: graduate students who wish to learn the subject, researchers in the various fields of application who want to concentrate on certain theoretical aspects, and specialists who need a thorough reference work. For the second edition, the authors have greatly expanded the bibliography to ensure that it is comprehensive and up-to-date, and have also added an appendix surveying research since the first edition. A list of exercises and open problems ends each chapter.

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Book Description:

This is the second edition of the first comprehensive, accessible account of oriented matroids, which have applications to areas as diverse as geometry, combinatorics, operations research, computer science and theoretical chemistry. It is intended for a diverse audience: graduate students, researchers from other disciplines and specialists. A list of exercises and open problems ends each chapter. For the second edition, the authors have expanded the bibliography greatly to ensure that it remains comprehensive and up-to-date, and they have also added an appendix surveying research since the work was first published.

Review:

"Numerous exercises are included at the end of each chapter; thus the book is quite good literature for the student...the book contains a long list of references covering all essential papers published in oriented matroid theory thus far, as well as a few unpublished notes. Therefore, anybody who wants to study oriented matroids will not only find a compact survey concerning the theory but also a standard list of references." Bulletin of the AMS

"...comprehensive and authoritative....Without a doubt this book will become an indispensable tool for anyone working in an important and growing area of mathematics." SIAM Review

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