Computing is an exact science and the systematic study of any
aspect necessarily involves the use of mathematical models.
Moreover, the rate at which the subject is evolving demands a
facility for developing new mathematical systems to keep pace with
new computing systems and this requires an appreciation of how
mathematics works. An understanding of the underlying mathematical
structure facilitates the construction of suitable computer
programs to perform computations. Assuming no specific knowledge of
mathematics, the authors describe all the basic concepts required
and progress from sets (rather than numbers) through a variety of
algebraic structures that permit the precise description,
specification and subsequent analysis of many problems in
computing. The material included provides the essential
mathematical foundations for core topics of computer science and
extends into the areas of language theory, abstract machine theory
and computer geometry. Computer Mathematics will be of interest to
undergraduate students of computer science and mathematics,
post-graduate computing 'conversion' course students and computer
professionals who need an introduction to the mathematics that
underpins computer science theory.
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