Number Theory and Geometry for College Students

In what can be seen as the "moral equivalent of calculus," this text demonstrates the nature of mathematics as embodied in number theory and geometry. Throughout the text, Diane Herrmann and Paul Sally, Jr. develop serious mathematical ideas and an introduction to proof in mathematics by providing a careful treatment of number theory and geometry. While the topics of number theory and geometry are essential components in the teaching and learning of mathematics in the primary grades, students are less likely to encounter the rich ideas that grow directly from those foundations later in their studies. This text helps students to make the connection between number theory and geometry, so they can discover how mathematical minds work and how to think mathematically.