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Computer Arithmetic and Validity: Theory, Implementation, and Applications: 33 (De Gruyter Studies in Mathematics) - Softcover
Synopsis
This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard developments in the field. The book shows how the arithmetic capability of the computer can be enhanced. The work is motivated by the desire and the need to improve the accuracy of numerical computing and to control the quality of the computed results (validity). The accuracy requirements for the elementary floating-point operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties of these models are extracted and lead to a general theory of computer arithmetic. Detailed methods and circuits for the implementation of this advanced computer arithmetic are developed in the book. It illustrates how the extended arithmetic can be used to compute highly accurate and mathematically verified results. The book can be used as a high-level undergraduate textbook but also as reference work for research in computer arithmetic and applied mathematics.
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Review
Review for the first edition: "The book deals with the theory of computer arithmetic, the implementation of arithmetic on computers, and principles of verified computing. These items are at the same time the titles of the three main parts in which the very informative and highly interesting monograph of 400 pages is divided. [...] an important book which should be read by everyone who does not merely apply a computer uncritically as a black box, but wants to know how it, works, and is interested in how it could work better. [Gunter Mayer (Rostock) in ZenralblattMath]
About the Author
Ulrich Kulisch, University Karlsruhe, Germany.
"About this title" may belong to another edition of this title.
- PublisherWalter de Gruyter & Co
- Publication date2012
- ISBN 10 3110301806
- ISBN 13 9783110301809
- BindingPaperback
- LanguageEnglish
- Number of pages434
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