Comprehensive Mathematics for Computer Scientists 1

Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry (Second Edition)

  • Guerino Mazzola
  • Gérard Milmeister
  • Jody Weissmann

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Sets, Numbers, and Graphs

  3. Algebra, Formal Logic, and Linear Geometry

  4. Back Matter
    Pages 356-389

About this book


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.


Automat Monoid algorithms automata computer computer science formal logic logic mathematics for computer scientists statistics

Authors and affiliations

  • Guerino Mazzola
    • 1
  • Gérard Milmeister
    • 1
  • Jody Weissmann
    • 1
  1. 1.Department of InformaticsUniversity Zurich8057ZurichSwitzerland

Bibliographic information

  • DOI
  • Copyright Information Springer 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Computer Science
  • Print ISBN 978-3-540-36873-1
  • Online ISBN 978-3-540-36874-8
  • Buy this book on publisher's site
Industry Sectors
IT & Software