A Spiral Workbook for Discrete Mathematics: Open Suny Textbooks
A Spiral Workbook for Discrete Mathematics covers the standard topics in a sophmore-level course in dicrete mathematics: logic, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides students through a detailed discussion on how a proof is revised from its draft to a polished form. Hands-on exercises help students undrstand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a different perspective or at a higher level of complexity. The goal is to slowly develop students' problem-solving and writing skills.