Mathematical Gems III follows and strengthens the tradition established by Honsberger's earlier works, all best sellers and winners of rave reviews. It has something for everyone - students, teachers, and armchair mathematicians alike. Here you will find gems from elementary combinatorics, number theory, and geometry. Each essay contains historical commentary, interesting anecdotes, mathematical background, and a careful discussion built around a famous problem, theorem, or mathematician. It also contains a collection of fascinating and illuminating exercises related to the topics of the essays.