Discrete Mathematics

Author: Jia Zhenhua
Publisher:
Publish Date: 2004-02-01
Features: This textbook series is characterized by being based on the "Basic Requirements" and "Training Specifications," offering comprehensive content, a well-structured format, and concise language. It adopts a "problem (task)-driven" writing approach, making it easier to stimulate learning interest. Selected examples are presented with key knowledge points embedded within them, enhancing readability, operability, and practicality. It includes hands-on guidance and practical training tutorials, facilitating student practice and improvement. Electronic teaching plans and program source codes are provided to meet the needs of multimedia teaching for instructors. Discrete mathematics is the theoretical foundation of computer science and technology. This book systematically introduces the basic content of discrete mathematics. The book is divided into four parts: Part 1: Mathematical Logic, introducing propositional logic and predicate logic; Part 2: Set Theory, covering sets, relations, functions, and the cardinality of sets; Part 3: Graph Theory, discussing graph concepts, Eulerian graphs, Hamiltonian graphs, trees, planar graphs, and bipartite graphs; Part 4: Algebraic Systems, introducing groups, rings, fields, algebraic systems, and Boolean algebra. The content is presented in an accessible, easy-to-understand, and concise manner, with the goal of "linking theory with practice." Some chapters adopt a "problem-driven" writing approach: posing problems—solving them—presenting concepts—summarizing patterns. Typical examples are explained in each chapter, and a sufficient number of exercises are provided at the end of each chapter to reinforce learning. This book can serve as a textbook for vocational and technical college students majoring in computer science and related fields, as well as a reference for relevant personnel. It is accompanied by an electronic teaching plan, which is created using PowerPoint and can be freely modified.