Reading, Writing, and Proving: A Closer Look at Mathematics

This book, which assumes only a precalculus background, aids students in their transition to higher-level mathematics. The authors begin by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and end with suggested projects for independent study. The reader will follow Pólya's four step approach to problem solving: analyzing the problem, devising a plan to solve the problem, carrying out that plan, and then determining the implication of ...