Book Title: Discrete Mathematics for Information Technology
Subtitle: First Canadian Edition
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Book Description: Discrete Mathematics for Information Technology is an applied, student-focused introduction to the mathematical foundations that underpin modern computing. Designed for learners in information technology and business contexts, this textbook bridges theory and practice by connecting core concepts, such as number systems, data representation, logic, proofs, relations, algorithms, Boolean algebra, and graph theory, to real-world applications in programming, networking, databases, and systems design. Each chapter is structured with clear explanations, worked examples, case studies, and programming-oriented exercises that reinforce both conceptual understanding and practical skills. Emphasis is placed on developing analytical thinking, problem-solving, and the ability to model and reason about digital systems with precision and confidence. As an open educational resource, the text is adaptable and accessible, supporting a wide range of teaching and learning environments. By integrating mathematical rigor with authentic IT scenarios, this book equips students with the essential tools needed to succeed in modern, data-driven and technology-focused careers.
Contents
Book Information
Book Description
Discrete Mathematics for Information Technology is a comprehensive, application-driven textbook that introduces the essential mathematical foundations underlying modern computing systems. Intended for students in information technology, business, and related fields, the book emphasizes conceptual clarity, real-world relevance, and practical skill development. It begins with core topics such as number systems, binary and hexadecimal representation, and internal data encoding, providing students with a clear understanding of how information is stored and processed in digital environments.
The text progresses to formal logic and proof techniques, equipping learners with the tools needed to reason rigorously, validate algorithms, and analyze business and system rules. Building on this foundation, the book explores sets, relations, and functions, highlighting their importance in database design, access control, and data modelling. Additional chapters address recurrence relations and algorithm analysis, Boolean algebra and combinatorial circuits, and fundamental data structures such as trees and graphs, all of which are essential to software development, networking, and system design.
A defining feature of this text is its strong emphasis on applied learning. Each chapter includes detailed examples, case studies, and programming-oriented exercises that connect theory directly to IT practice. Topics such as network packet analysis, database queries, security policies, and embedded systems are used to illustrate key concepts in authentic contexts. Structured practice problems and solutions support independent learning, while challenge questions encourage deeper analytical thinking.
License
Discrete Mathematics for Information Technology Copyright © 2026 by Simon Crothers is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.
Subject
Discrete mathematics
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Discrete Mathematics for Information Technology Copyright © 2026 by Simon Crothers is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.