Discrete Mathematics and Its Applications

Author: Xu Fengsheng
Publisher:
Publish Date: 2006-08-01
Features: Discrete mathematics is a branch of mathematics that studies the structures and relationships of discrete quantities. It is a core and foundational course for computer-related fields. This book was written by the author based on years of teaching experience. The content is organized according to the principles of "precision, breadth, and novelty," and practical principles are followed by adding hands-on experimental content, ensuring that computer science students can acquire the necessary mathematical knowledge and problem-solving skills. This book can be used as a textbook for discrete mathematics courses in universities and colleges for computer-related majors, or as a reference for relevant technical personnel. The book's features cover a wide range of topics, catering to students at different levels. In terms of content arrangement, it emphasizes a gradual and easy-to-understand approach, with comprehensive and detailed explanations in a concise manner. It highlights problem-solving approaches, focusing on cultivating students' mathematical thinking skills as well as their ability to analyze and solve problems. To demonstrate connections with prerequisite and subsequent courses and to stimulate students' interest in learning, the book incorporates some programming concepts and includes hands-on experimental content. The book systematically explains the fundamental knowledge and application methods of discrete mathematics, divided into six parts: Part 1: Mathematical Logic, including propositional logic and predicate logic; Part 2: Set Theory, including the basic knowledge of sets...