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This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, 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 the students through a detailed discussion on how a proof is revised from its draft to a final polished form. Hands-on exercises help students understand 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.
- Subject:
- Functions
- Mathematics
- Numbers and Operations
- Material Type:
- Textbook
- Provider:
- State University of New York
- Provider Set:
- Milne Open Textbooks
- Author:
- Harris Kwong, SUNY Fredonia
- Date Added:
- 11/06/2015