Combinatorics

Author: Jiang Jianguo
Publisher:
Publish Date: 2003-09-01
Features: This book provides a detailed explanation, progressing from simple to complex with clear organization. It includes numerous examples and exercises of varying difficulty levels. Designed as a graduate textbook, it can be used for computer science, applied mathematics, and communication-related programs, or as a reference for teaching, research, and engineering professionals in related fields. One of the core issues in computer science is the study of algorithms, and combinatorial algorithms are a significant part of this field. Combinatorics forms the theoretical foundation for combinatorial algorithms. This book consists of six chapters, with a focus on combinatorial counting, introducing the fundamental principles and methodologies of combinatorics, including combinatorial fundamentals, generating functions and their applications, recurrence relations, the principle of inclusion-exclusion, the pigeonhole principle, Ramsey theory, and Polya's theorem.