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Discrete Mathematics and Its Applications cover

Discrete Mathematics and Its Applications

2025 Release

by Kenneth H. Rosen

Publisher: McGraw-Hill Higher Education

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Book Details

Print ISBN9781266045479
eText ISBN9781259731709
PublisherMcGraw-Hill Higher Education
Publishing Year2019
LanguageEnglish

Discrete Mathematics and Its Applications: 2025 Release is a textbook published by McGraw-Hill Higher Education that presents fundamental mathematical concepts for university instruction. Designed as a flexible pedagogical teaching tool, the work supports course requirements across mathematics, computer science, and engineering departments.

Coverage introduces foundational mathematical reasoning alongside core discrete structures, highlighting logic and proofs. The text also addresses theoretical computation and analytical methods, presenting principles that connect abstract mathematics with practical computational disciplines.

Authored by Kenneth H. Rosen, who holds a distinguished technical staff role at AT&T Labs, the volume offers an adaptable framework for instructors. The content is developed to accommodate diverse course objectives while supporting students across technical majors.

Table of Contents

  1. Chapter 1: Foundations: Logic and Proofs

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

  3. Chapter 3: Algorithms

  4. Chapter 4: Number Theory and Cryptography

  5. Chapter 5: Induction and Recursion

  6. Chapter 6: Counting

  7. Chapter 7: Discrete Probability

  8. Chapter 8: Advanced Counting Techniques

  9. Chapter 9: Relations

  10. Chapter 10: Graphs

  11. Chapter 11: Trees

  12. Chapter 12: Boolean Algebra

  13. Chapter 13: Modeling Computation

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