Discrete Mathematics and Its Applications 2025 Release

Rosen’s Discrete Mathematics and its Applications presents a precise relevant comprehensive approach to mathematical concepts. This world-renowned best-selling text was written to accommodate the needs across a variety of majors and departments including mathematics computer science and engineering. As the market leader the book is highly flexible comprehensive and a proven pedagogical teaching tool for instructors. Digital is becoming increasingly important and gaining popularity crowning Connect as the digital leader for this discipline.McGraw-Hill Education’s Connect available as an optional add on item. Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need when they need it how they need it so that class time is more effective. Connect allows the professor to assign homework quizzes and tests easily and automatically grades and records the scores of the student’s work. Problems are randomized to prevent sharing of answers and may also have a “multi-step solution” which helps move the students’ learning along if they experience difficulty.

Table of Contents

1. The Foundations: Logic and Proofs

2. Basic Structures: Sets, Functions, Sequences, Sums, and Matrices

3. Algorithms

4. Number Theory and Cryptography

5. Induction and Recursion

6. Counting

7. Discrete Probability

8. Advanced Counting Techniques

9. Relations

10. Graphs

11. Trees

12. Boolean Algebra

13. Modeling Computation

About the Author

Ken Rosen (Middletown, NJ) is a distinguished member of the technical staff at AT & T Labs.