Discrete Mathematics and Its Applications

Discrete Mathematics and Its Applications by Kenneth H. Rosen is a foundational textbook that systematically covers the mathematical structures underlying computer science and modern mathematics. First published in 1988, the book has become a standard reference in university curricula worldwide, known for its clear exposition of logic, set theory, functions, algorithms, and graph theory.

Rosen's approach balances theoretical rigor with practical application. Each chapter builds methodically from definitions and theorems through worked examples to exercises of varying difficulty. The text addresses mathematical induction, combinatorics, recurrence relations, and discrete probability - topics essential to computer science, cryptography, and operations research. Readers encounter real-world contexts throughout, from network design to coding theory.

The 1988 edition represents the text in its established form, before many subsequent revisions. Students and professionals seeking a comprehensive, structured introduction to discrete mathematics will find detailed explanations, numerous proofs, and problem sets designed to reinforce conceptual understanding. The book serves equally well as a course textbook and as a reference for self-study.

• Covers logic, set theory, functions, algorithms, and graph theory
• Includes mathematical induction and combinatorics
• Features worked examples and comprehensive exercises
• Suitable for computer science, mathematics, and engineering students
• Published 1988

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