Based on the premise that in order to write proofs, one needs to read finished proofs as well as study both their logic and grammar, Revolutions in Geometry depicts how to write basic proofs in various fields of geometry. This accessible text for junior and senior undergraduates explains the general development of geometry throughout time, discusses the involvement of its major contributors, and places the proofs into the context of geometry's history to illustrate how crucial proof writing is to the job of a mathematician.

Michael L. O'Leary, PhD, is Associate Professor of Mathematics at the College of DuPage in Glenn Ellyn, Illinois.?He is a Member of the American Mathematical Society, the Canadian Society for the History and Philosophy of Mathematics, and the Mathematical Society of America.?He received his PhD in Mathematics from the University of California, Irvine in 1994.