Discrete Mathematical Structures: A Succinct Foundation

This book provides a comprehensive introduction to discrete mathematical structures, covering topics such as logic, mathematical induction, graph theory, algebraic structures, and boolean algebra. It is designed for undergraduate and graduate students and educators in mathematics, computer science, engineering, and information technology. With solved examples and end-of-chapter exercises, it serves as a text and reference guide for various programs.

Format: Paperback / softback
Length: 262 pages
Publication date: 31 March 2021
Publisher: Taylor & Francis Ltd

This comprehensive book delves into the fundamental concepts of discrete mathematical structures, presenting them in a user-friendly and accessible manner. Designed to be easily understood by readers, it encompasses a wide range of topics, making it an invaluable resource for both undergraduate and graduate students and educators affiliated with various courses and programs in mathematics, computer science, engineering, and information technology.

Discrete mathematical structures play a crucial role in various fields, including computer science, engineering, and information technology. They are essential in areas such as coding techniques, switching circuits, pointers, linked allocation, error corrections, data networking, chemistry, biology, and many other scientific disciplines. This book aims to provide a comprehensive and up-to-date introduction to these structures, catering to the needs of learners at both undergraduate and graduate levels.

The book is organized into five chapters, each covering a specific area of discrete mathematical structures. The first chapter introduces the basic concepts of logic, mathematical induction, graph theory, algebraic structures, and lattices. It provides a solid foundation for the subsequent chapters, laying the groundwork for understanding more complex topics.

The second chapter delves into the principles of mathematical induction, a powerful tool for proving mathematical statements. It explains how to construct valid proofs and introduces the concept of counterexamples, which help in identifying errors in proofs. The chapter also includes solved examples and practice problems to reinforce the learning process.

The third chapter explores graph theory, a fundamental concept in computer science and engineering. It introduces the concepts of vertices, edges, and graphs, and discusses various graph properties, such as connectivity, cycles, and isomorphism. The chapter also includes solved examples and practice problems to enhance reader comprehension.

The fourth chapter focuses on algebraic structures, which are essential in discrete mathematics. It introduces the concepts of rings, fields, and modules, and discusses their properties, such as homomorphism, isomorphism, and direct sum. The chapter also includes solved examples and practice problems to reinforce the learning process.

The fifth chapter delves into Boolean algebra, a branch of mathematics that deals with logical operations and their representations. It introduces the concepts of Boolean variables, truth tables, and logical operators, and discusses their applications in computer science and engineering. The chapter also includes solved examples and practice problems to enhance reader comprehension.

In addition to its comprehensive coverage of discrete mathematical structures, the book offers several valuable features. It includes end-of-chapter solved examples and practice problems to reinforce the learning process and assist readers in applying the concepts learned in the book. The book also provides materials on valid arguments and rules of inference, with illustrations to enhance understanding. Furthermore, the book focuses on algebraic structures to enable readers to work with discrete structures effectively.

This book is an essential resource for undergraduate and graduate students and educators interested in discrete mathematical structures. Its user-friendly style and comprehensive coverage make it accessible to a wide range of readers, and its application in various fields makes it an invaluable tool for anyone seeking to advance their knowledge in this area. Whether you are a student, researcher, or professional, this book will provide you with the necessary skills and knowledge to excel in your studies and career.

Weight: 508g
Dimension: 234 x 156 (mm)
ISBN-13: 9780367779443