Looking for good books on convex polyhedra theory

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My knowledge on convex polyhedra and systems of linear inequalities (facets, edges, Farkas Lemma, projections, duality, etc.) is very scattered, and I'l like to go through a book to solidify it.

I'm looking to something similar to chapters 3-4 in Integer Programming by Conforti, Cornuejols, and Zambelli, but with lots of good exercises.

I have gone through some of Bertsimas' Introduction to Linear Optimization, and I can't really put my finger on why, but I just don't like it.

Do you have any suggestions?

Thanks!