Susanna S. Epp’s Discrete Mathematics with Applications introduces the reasoning and notation used to study finite and countable structures. It develops core ideas in logic, sets, functions, relations, counting, probability, and graph theory while giving particular attention to mathematical proof. Explanations and worked examples help readers translate statements into symbolic form, apply definitions carefully, and build arguments step by step. Exercises reinforce both calculation and reasoning, with applications that connect the material to computer science. The result is an introductory textbook aimed at developing problem-solving skill and the mathematical maturity needed for further study.
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