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Title: Great introduction plus applications!
Review: There are few sources on this topic, and thus for my research in algebraic statistics for phylogenetic trees, I have come to refer to this book as "the bible." I read the sections applicable to my research several times and now refer back to them repeatedly. It is written very clearly and concisely.What keeps from actually being comprehensive is that the general discussion is targeted as preparation for the problems they are solving in the later chapters.
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