Oriented Matroids

‘This is a book we have been waiting for for a long time: Laura Anderson’s Introduction to Oriented Matroids - accessible, lively, a lot to discover!’ Günter M. Ziegler, Freie Universität Berlin‘The subject of oriented matroids is a cornerstone of modern combinatorial geometry. The author’s conversational writing style brings this technically challenging topic to an easily comprehensible level, making it an excellent candidate for a textbook or for personal study. I am looking forward to utilizing it myself when I next teach a course on oriented matroids!’ Jim Lawrence, George Mason University‘Laura Anderson expertly guides the reader through the multifaceted theory of oriented matroids, with a strong geometric motivation and a careful combinatorial exposition. Her book is a welcome and opportune addition to the literature, which will be valuable for newcomers and specialists alike.’ Federico Ardila-Mantilla, San Francisco State University‘This book is a friendly invitation to the subject of oriented matroids, providing a geometrically inclined introduction and bridging the gap to the more demanding and encyclopaedic Red Book (Björner et al., 1999). It is not always easy to reconcile geometry with combinatorics and this textbook is certainly on the right path. For illustration, ‘combinatorial Farkas Property’ (‘Farkas’ is mentioned in the book 72 times!) offers a unified point of view throughout the book and helps the reader understand the rationale behind more technically involved parts of the subject. Both students and teachers will find a selection of relatively new developments in the book (which haven’t been covered in a textbook before!), including a glimpse into the general theory of matroids over hyperfield.’ Rade Živaljević, Mathematical Institute SASA, Belgrade

Laura Anderson is Associate Professor in the Department of Mathematics and Statistics at Binghamton University. Her research focuses on interactions between combinatorics and topology, particularly those involving oriented matroids, convex polytopes, and other concepts from discrete geometry.