Mathematics for Computer Scientists A Practice-Oriented Approach

<p>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.</p><p>The translation of the original German 7th edition <i>Mathematik für Informatiker</i> by Peter Hartmann was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content.</p><p><b>Textbook Features</b></p><p></p><ul><li>You will always find applications to computer science in this book.</li><li>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.</li><li>Proofs are given when they help you learn something, not for the sake of proving.</li></ul><p></p><p>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.</p><p><b>The Content</b></p><p></p><ul><li>Sets, logic, number theory, algebraic structures, cryptography, vector spaces, matrices, linear equations and mappings, eigenvalues, graph theory.</li><li>Sequences and series, continuous functions, differential and integral calculus, differential equations, numerics.</li><li>Probability theory and statistics.</li></ul><p></p><p><b>The Target Audiences</b></p><p>Students in all computer science-related coursework, and independent learners.</p>