An Invitation to Abstract Mathematics

This undergraduate textbook promotes an active transition to higher mathematics. Problem solving is the heart and soul of this book: each problem is carefully chosen to demonstrate, elucidate, or extend a concept. More than 300 exercises engage the reader in extensive arguments and creative approaches, while exploring connections between fundamental mathematical topics.

Divided into four parts, this book begins with a playful exploration of the building blocks of mathematics, such as definit...