Comprehensive Mathematics for Computer Scientists 1: Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry (Universitext) - Softcover

Über die Autorin bzw. den Autor

Born in 1947, Guerino Mazzola became a professor of mathematics (1980) and of computational science (2003) at the University of Zürich. He was a visiting professor at the Ecole Normale Supérieure in Paris in 2005. Since 2007, he has been a professor at the School of Music, University of Minnesota. He developed a mathematical music theory and music analysis and composition software using presto and rubato. Since 2007 to 2021, he has been the president of the Society for Mathematics and Computation in Music. He has published 33 books and 150 papers, 27 jazz CDs, two DVDs, and a classical sonata. His most important book is The Topos of Music (four volumes, 1700 pages) which is about mathematical music, performance, and gesture theory.

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This two-volume textbook Comprehensive Mathematics for Computer Scientists is a self-contained comprehensive presentation of mathematics including sets, numbers, graphs, algebra, logic, grammars, machines, linear geometry, calculus, ODEs, and special themes such as neural networks, Fourier theory, wavelets, numerical issues, statistics, categories, and manifolds. The concept framework is streamlined but defining and proving virtually everything. The style implicitly follows the spirit of recent topos-oriented theoretical computer science. Despite the theoretical soundness, the material stresses a large number of core computer science subjects, such as, for example, a discussion of floating point arithmetic, Backus-Naur normal forms, L-systems, Chomsky hierarchies, algorithms for data encoding, e.g., the Reed-Solomon code. The numerous course examples are motivated by computer science and bear a generic scientific meaning.

For the second edition the entire text has been carefully reread, and many examples have been added, as well as illustrations and explications to statements and proofs which were exposed in a too shorthand style. This makes the book more comfortable for instructors as well as for students to handle.