Transition to Proofs

"This book not only focuses on the mechanics of proofs; it differs from others in the genre by introducing a large amount of interesting mathematics along the way to pique the interest of students who are already enthusiastic about mathematics. Highlights include determining which numbers are sums of two squares, matching problems, and two constructions of the real numbers. This book has been used by the author to teach high-school students every year since 2018, and several hundred students have taken the classes that go along with it, so it has been successfully tested in the classroom"--