Mathematics for Computer Scientists (PDF)

This textbook contains the mathematics needed to study computer science in application-oriented computer science courses. The content is based on the author's many years of teaching experience.

The translation of the original German 7^th edition Mathematik für Informatiker by Peter Hartmann was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content.

Textbook Features

• You will always find applications to computer science in this book.
• Not only will you learn mathematical methods, you will gain insights into the ways of mathematical thinking to form a foundation for understanding computer science.
• Proofs are given when they help you learn something, not for the sake of proving.

Mathematics is initially a necessary evil for many students. The author explains in each lesson how students can apply what they have learned by giving many real world examples, and by constantly cross-referencing math and computer science. Students will see how math is not only useful, but can be interesting and sometimes fun.

The Content

• Sets, logic, number theory, algebraic structures, cryptography, vector spaces, matrices, linear equations and mappings, eigenvalues, graph theory.
• Sequences and series, continuous functions, differential and integral calculus, differential equations, numerics.
• Probability theory and statistics.

The Target Audiences

Students in all computer science-related coursework, and independent learners.

The Author

Peter Hartmann is a professor at Landshut University of Applied Sciences in the Department of Computer Science. The focus of his teaching is on mathematics for computer scientists and business informatics specialists.