Front Cover; Dedication; Contents; Preface; Chapter 0: Warm- up: The Triangle Game; Chapter 1: The Beginnings of Number Theory; Chapter 2: Axioms in Number Theory; Chapter 3: Divisibility and Primes; Chapter 4: The Division and Euclidean Algorithms; Chapter 5: Variations on a Theme; Chapter 6: Congruences and Groups; Chapter 7: Applications of Congruences; Chapter 8: Rational Numbers and Real Numbers; Chapter 9: Introduction to Geometry and Symmetry; Chapter 10: Polygons and Their Construction; Chapter 11: Symmetry Groups; Chapter 12: Permutations; Chapter 13: Polyhedra
""This beautifully produced book shows how number theory and geometry are essential components to understanding mathematics, with emphasis on teaching and learning such topics. The presentation is excellent and the approach to logic and proofs exemplary. ... The book accomplishes the rare feat of presenting some real mathematics in a clear and accessible manner, thereby showing some of the most fundamental ideas of mathematics. It is an engaging text offering the opportunity to a beginner to learn and savor the many ideas involved, and it is also a good resource for readers interested in explori
