Introduction to Combinatorics

Author: Sun Shuling, Xu Yinlong (editors)
Publisher:
Publish Date: 2004-01-01
Features: This book focuses on combinatorial counting problems and introduces the fundamental principles and methods of combinatorics, divided into 8 chapters: The Pigeonhole Principle, Permutations and Combinations, Inclusion-Exclusion Principle, Recurrence Relations, Generating Functions, Polya Counting Theory, Systems of Distinct Representatives, Combinatorial Designs. The emphasis in the material is on demonstrating the application of combinatorics in computer science, particularly in the field of algorithm analysis. Each chapter includes a certain number of exercises for readers to practice and further reflect on. This book can serve as a textbook or teaching reference for graduate students and senior undergraduate students in computer science and applied mathematics majors, as well as for teaching, scientific research, and technical personnel engaged in related fields.