May 1, 2024
Updated May 11, 2025
19 minute read
Discrete mathematics is the study of mathematical structures that are fundamentally "discrete" rather than "continuous." This means it deals with objects that can be counted and are distinct, separate, or finite, such as integers, graphs, and logical statements. Think of it as the mathematics of individual items, in contrast to continuous mathematics (like calculus) which deals with smooth, unbroken quantities and functions. While there isn't one single, exact definition, a core idea is working with countable sets.
One of the most exciting aspects of discrete mathematics is its profound and direct relevance to the modern world, particularly in the realm of technology. Because digital computers operate in discrete steps and store data in discrete bits, the concepts from discrete mathematics are essential for understanding and developing everything from the software that runs on your phone to the algorithms that power search engines and secure your online transactions. Furthermore, the problem-solving skills honed through studying discrete mathematics – logical reasoning, algorithmic thinking, and the ability to analyze complex systems – are highly valued in a vast array of fields.
What is Discrete Mathematics?
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Reading list
We've selected ten books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Discrete Mathematics.
This influential textbook presents a rigorous and accessible introduction to discrete mathematics, with a focus on applications in computer science. It covers topics such as counting, probability, and graph theory, and it is suitable for advanced undergraduate and graduate students.
This textbook provides a rigorous and comprehensive introduction to mathematics for computer science students. It covers topics such as logic, set theory, counting, and graph theory, with a focus on applications in computer science.
This textbook provides a comprehensive and accessible introduction to discrete mathematics and graph theory, with a focus on applications in computer science. It covers topics such as logic, set theory, counting, and graph theory.
This classic textbook provides a comprehensive overview of discrete mathematics, covering topics such as logic, set theory, counting, and graph theory. It is suitable for both undergraduate and graduate students, and it has been widely used in computer science, mathematics, and engineering programs.
This French-language textbook provides a comprehensive and accessible introduction to discrete mathematics, with a focus on applications in computer science. It covers topics such as logic, set theory, counting, and graph theory.
This textbook provides a concise and accessible introduction to discrete mathematics for computer science students. It covers topics such as logic, set theory, counting, and graph theory, with a focus on applications in computer science.
This German-language textbook provides a comprehensive and accessible introduction to discrete mathematics, with a focus on applications in computer science. It covers topics such as logic, set theory, counting, and graph theory.
This textbook provides a gentle and accessible introduction to discrete mathematics, with a focus on applications in computer science. It covers topics such as logic, set theory, counting, and graph theory.
This free and open-source textbook provides a gentle introduction to discrete mathematics, with a focus on making the subject accessible to a wide range of students. It covers topics such as logic, set theory, counting, and graph theory.
This Schaum's Outline provides a comprehensive and accessible review of discrete mathematics, covering topics such as logic, set theory, counting, and graph theory. It is suitable for students who are preparing for exams or who want to brush up on their knowledge of discrete mathematics.
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