The authors follow a logical development of topics, and write in a readable style that is consistent and concise. As each new mathematical concept is introduced the emphasis remains on improving students’ ability to write proofs.
Worked examples and exercises throughout the text, ranging from the routine to the challenging, reinforce the concepts.
Proofs to Grade exercises test students’ ability to distinguish correct reasoning from logical or conceptual errors.
A flexible organization allows instructors to expand coverage or emphasis on certain topics and include a number of optional topics without any disruption to the flow or completeness of the core material.-
1. Logic and Proofs. 2. Sets and Induction. 3. Relations and Partitions. 4. Functions. 5. Cardinality. 6. Concepts of Algebra. 7. Concepts of Analysis.