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Cover Title Page Copyright Page Contents About the Author Preface Acknowledgments Online Resources To the Student 1 The Foundations: Logic and Proofs 1.1 Propositional Logic 1.2 Applications of Propositional Logic 1.3 Propositional Equivalences 1.4 Predicates and Quantifiers 1.5 Nested Quantifiers 1.6 Rules of Inference 1.7 Introduction to Proofs 1.8 Proof Methods and Strategy End-of-Chapter Material 2 Basic Structures: Sets, Functions, Sequences, Sums, and Matrices 2.1 Sets 2.2 Set Operations 2.3 Functions 2.4 Sequences and Summations 2.5 Cardinality of Sets 2.6 Matrices End-of-Chapter Material 3 Algorithms 3.1 Algorithms 3.2 The Growth of Functions 3.3 Complexity of Algorithms End-of-Chapter Material 4 Number Theory and Cryptography 4.1 Divisibility and Modular Arithmetic 4.2 Integer Representations and Algorithms 4.3 Primes and Greatest Common Divisors 4.4 Solving Congruences 4.5 Applications of Congruences 4.6 Cryptography End-of-Chapter Material 5 Induction and Recursion 5.1 Mathematical Induction 5.2 Strong Induction and Well-Ordering 5.3 Recursive Definitions and Structural Induction 5.4 Recursive Algorithms 5.5 Program Correctness End-of-Chapter Material 6 Counting 6.1 The

Who reads Discrete Mathematics and Its Applications?

Author

Kenneth Rosen, Kenneth H. Rosen

Publisher

McGraw-Hill Higher Education

Published

2018

Language

EN

ISBN

9781259676512

Category

mathematics

Subjects

Mathematics, Computer Science, Algorithms And Data Structures

Rating

3.89 / 5 (753 ratings)

Updated

2026-03-14