Discrete Mathematics

Proofs, Structures and Applications, Third Edition

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This third edition continues to provide a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. In the expanded first chapter, the text includes a new section on the formal proof of the validity of arguments in propositional logic before moving on to predicate logic. This edition also contains a new chapter on elementary number theory and congruences. This chapter explores groups that arise in modular arithmetic and RSA encryption, a widely used public key encryption scheme that enables practical and secure means of encrypti...