<p>From the reviews:</p><p>“The book provides a succinct overview of the state of the art, including a long section discussing interesting and open problems. … The book certainly achieves the authors’ stated aims of encouraging ‘dialogue between algebra and statistics, to benefit both disciplines.’ … the book particularly effective as a tool for a reading group on algebraic statistics; it is an excellent resource, cuts straight to the subject’s open questions, and should be an interesting read for any researcher of theoretical statistics.” (Robin J. Evans, SIAM Review, Vol. 53 (1), 2011)</p><p>“The present monograph grew out of a series of the authors’ lectures and its aim is to provide an introduction to some of the fundamental notions in algebraic statistics. … an excellent source for running seminars on the subject. It could also be used as a textbook in advanced undergraduate or graduate courses … . presents some open problems giving a few snapshots of current research in the area and may be a good source for problems for young mathematicians interested in the subject.” (Luis David Garcia-Puente, Mathematical Reviews, Issue 2012 d)</p>