Discrete Mathematics and Applications

Discrete Mathematics and Applications, Second Edition, is a one-semester course book for mathematics, mathematics education, and computer science majors, focusing on writing proofs, number theory, computations, combinatorics, graph theory, trees, and algorithms. It emphasizes proofs, links examples to exercise sets, and has a heavily reviewed and developed edition.

Format: Paperback / softback
Length: 944 pages
Publication date: 21 January 2023
Publisher: Taylor & Francis Ltd

Discrete Mathematics and Applications, Second Edition, is designed for a one-semester course in discrete mathematics, typically taken by mathematics, mathematics education, and computer science majors in their sophomore year. This book does not require a prerequisite in calculus, making it accessible to a wide range of students.

Part one of the book focuses on the art of writing proofs, building upon foundational concepts in number theory while utilizing set theory as a tool. This section aims to develop students' logical reasoning and problem-solving skills.

Part two delves into computations, combinatorics, graph theory, trees, and algorithms. It emphasizes practical applications and provides real-world examples to reinforce the theoretical concepts. The book includes exercises with solutions, allowing students to practice and apply the knowledge gained.

One of the key strengths of this book is its emphasis on proofs. Proofs are often considered challenging and rewarding for students who enjoy logical reasoning and mathematical exploration. The book provides clear and concise explanations, accompanied by examples, to help students understand and master the proof-writing process.

Furthermore, the book links examples to exercise sets, providing students with additional practice opportunities and reinforcing the concepts discussed. This feature helps students connect the theoretical material with practical applications and strengthens their understanding of the subject.

The second edition of this book has undergone extensive review and development, ensuring that it is up-to-date and relevant to the current curriculum. The authors have included new examples and exercises to enhance the learning experience and address emerging topics in discrete mathematics.

Graph theory is a prominent focus of the book, as it plays a crucial role in various fields, including computer science, engineering, and mathematics. The book provides a comprehensive introduction to graph theory, covering topics such as graph representation, graph algorithms, and network flow. It also covers trees and algorithms, which are essential tools in computer science and data analysis.

In conclusion, Discrete Mathematics and Applications, Second Edition, is an excellent resource for students seeking a comprehensive and engaging introduction to discrete mathematics. Its emphasis on proofs, practical applications, and up-to-date content make it suitable for a one-semester course and appeal to a wide range of students interested in mathematics, mathematics education, and computer science. Whether you are a beginner or an advanced student, this book will provide you with the necessary tools and knowledge to excel in discrete mathematics and its applications.

Weight: 1750g
Dimension: 254 x 178 (mm)
ISBN-13: 9781032476896
Edition number: 2 ed