학술논문

Elementary mathematics from an algorithmic standpoint.
Document Type
Book Review
Author
Engel, Arthur AMS Author Profile
Source
Subject
68 Computer science
  68-01 Instructional exposition
Language
English
Abstract
The book contains algorithms for problems in different areas of mathematics. The algorithms are selected in such a way that they can be applied on computers. After an introductory chapter on programming and on basic algorithms there are chapters on number theory, geometry, numerical mathematics, combinatorics and probability, on simulation of random processes and on sorting. The book is more a textbook on programming than a textbook on mathematics. From a mathematical viewpoint it is merely a collection of interesting problems. The correctness of the algorithms is only partially tested. The algorithms are described with the help of flow diagrams or the language BASIC. The author frequently gives explanations on round-off errors and on the running time of the programs, but as a rule they are based on empirical tests and not on theoretical analysis. \par \edref{The review is based on the German original [Klett, Stuttgart, 1977].}

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