Discrete Mathematics for Computer Science

The Mathematical Foundations of Computing — Logic, Proof, Structures, and Algorithms

First Edition

A free, open textbook for computer science students — the ones who want to know why the math matters.

Every concept is introduced through a computing problem before the abstract mathematics appears. Every topic comes with Python you can run. Proof skills are taught gently and progressively, not dumped on you in Chapter 1. From the logic inside every if statement to the number theory that secures the internet to the graph algorithms behind your GPS — this is the discrete math a programmer actually uses, and the reasoning a programmer needs to trust their own code.

About this book

Forty chapters across six parts, with over a thousand exercises, two worked case studies per chapter, self-assessment quizzes, a progressive build-it-yourself project (the Discrete Math Toolkit), a complete instructor companion, and fourteen appendices. It assumes only high-school algebra and a little programming — no calculus, no prior proof experience.

For

CS undergraduates in the required discrete math course, math majors who want CS applications, data-science students who need combinatorial and probabilistic foundations, self-learners preparing for interviews or graduate study, competitive programmers, and crypto and blockchain developers.

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