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Discrete Mathematics

Proofs, Structures and Applications, Third Edition

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Taking an approach suitable for a broad readership, this text provides a rigorous yet accessible exposition of discrete mathematics, which forms the core mathematical foundation of computer science. The comprehensive approach maintains an easy-to-follow progression from basic ideas to more sophisticated concepts. This edition preserves the philosophy of its predecessors while updating some content. The expanded first chapter introduces a new section on the formal proof of argument validity in propositional logic before transitioning to predicate logic. Additionally, a new chapter on elementary number theory and congruences explores groups in modular arithmetic and RSA encryption, a widely used public key encryption scheme that ensures secure data encryption. This edition also includes a detailed solutions manual for qualifying instructors. By exploring the relationship between mathematics and computer science, the text continues to provide a solid grounding in the theory of discrete mathematics while augmenting the theoretical foundation with relevant applications. It is designed to help readers develop the rigorous logical thinking necessary to adapt to the evolving demands of computer science.

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Discrete Mathematics, Rowan Garnier, John Taylor

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Released
2009
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Title
Discrete Mathematics
Subtitle
Proofs, Structures and Applications, Third Edition
Language
English
Publisher
CRC Press
Released
2009
Format
Hardcover
Pages
846
ISBN10
1439812802
ISBN13
9781439812808
Series
Rating
4 out of 5
Description
Taking an approach suitable for a broad readership, this text provides a rigorous yet accessible exposition of discrete mathematics, which forms the core mathematical foundation of computer science. The comprehensive approach maintains an easy-to-follow progression from basic ideas to more sophisticated concepts. This edition preserves the philosophy of its predecessors while updating some content. The expanded first chapter introduces a new section on the formal proof of argument validity in propositional logic before transitioning to predicate logic. Additionally, a new chapter on elementary number theory and congruences explores groups in modular arithmetic and RSA encryption, a widely used public key encryption scheme that ensures secure data encryption. This edition also includes a detailed solutions manual for qualifying instructors. By exploring the relationship between mathematics and computer science, the text continues to provide a solid grounding in the theory of discrete mathematics while augmenting the theoretical foundation with relevant applications. It is designed to help readers develop the rigorous logical thinking necessary to adapt to the evolving demands of computer science.