Computer mathematics

D.J. Cooke and H.E. Bez

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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[目次]

  • Introduction
  • 1. Sets
  • 2. Relations
  • 3. Functions
  • 4. Basic concepts of arithmetic
  • 5. Algebraic structures
  • 6. Matrices
  • 7. Graph theory
  • 8. Languages and grammars
  • 9. Finite automata
  • 10. Computer geometry
  • Symbols, Index.

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この本の情報

書名 Computer mathematics
著作者等 Bass, Hyman B.
Cooke, D. J.
Bez H.E.
Cooke D.J.
シリーズ名 Cambridge computer science texts
出版元 Cambridge University Press
刊行年月 1984
ページ数 xii, 394 p.
大きさ 24 cm
ISBN 0521273242
0521253411
NCID BA01499468
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言語 英語
出版国 イギリス
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