Discrete Mathematics theory. Analysis. Solutions

Author: Zuo Xiaoling
Publisher:
Publication Date: 2001-06-08
Features: Discrete Mathematics is one of the important foundational theories in computer science. It is also a core course for cultivating students' rigorous thinking and enhancing their overall quality. In the teaching of Discrete Mathematics, problem-solving methods play a special role in helping students develop comprehensive analytical skills and the ability to connect theory with practice. In the problem-solving methods of Discrete Mathematics, apart from applying common methods such as deduction, analysis, enumeration, and induction, modern mathematical methods like proof by contradiction, method of reductio ad absurdum, correspondence, and construction are often employed. The purpose of writing this book is to provide guidance on problem-solving methods for readers studying Discrete Mathematics, and to offer reference solutions for self-learners after they complete exercises. The book is organized by chapter, with each chapter divided into three parts: The first part is theory, which summarizes the corresponding chapter in Discrete Mathematics and outlines the scope for solving exercises, acting as a detailed review outline. The second part is selected examples with solutions, primarily providing analysis of problem-solving methods, hoping readers can generalize and apply what they learn. The third part is exercises and solutions, in addition to all the exercises from the book Discrete Mathematics (Shanghai Scientific and Technical Documents Publishing House), many additional updated knowledge and practical application exercises have been included. The book contains 81 selected example problems and 647 exercises in total. This book is only a teaching reference material. Readers must first study the course, complete assignments independently, and then consult the solutions to truly grasp the material and achieve maximum efficiency.