Lee (mathematics, U. of Washington-Seattle) presents a textbook for an advanced undergraduate course for students who intend to teach geometry in a North American high school. It is not about teaching he says, but about the foundations of mathematics on the system of axioms that Greek mathematician Euclid devised about 300 BCE. Students should be comfortable with at least one-variable calculus, vector algebra in the plane, mathematical induction, and elementary set theory. The least upper bound principles and the notions of injective and surjective functions would also pave the way, along with some practice constructing rigorous mathematical proofs. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)