Journey into Mathematics: An Introduction to Proofs

The book is designed for self study or “bridge courses” that prepare students finishing calculus for first courses in real variables and abstract algebra. Prompting students to do mathematics, not merely read about it, this interesting and uniquely enjoyable text prepares students for reading and writing proofs by having them do just that at the outset. Complete proofs are given from the start and coverage begins with elementary mathematics to allow students to focus on the writing and reading of proofs without the distraction of absorbing new ideas simultaneously.