Computer Arithmetic and Validity | Buch

Cover: 9783110301731 | Computer Arithmetic and Validity | Ulrich Kulisch | Buch | XXII | 2013

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Sprache: Englisch

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Beschreibung

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 and mathematical capability of the digital computer can be enhanced in a quite natural way. 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 into an axiomatic approach which leads to a general theory of computer arithmetic. Detailed methods and circuits for the implementation of this advanced computer arithmetic on digital computers are developed in part two of the book. Part three then illustrates by a number of sample applications how this extended computer 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.

Erscheinungsjahr:	2013
Fachbereich:	Allgemeines
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	XXII 434 S. 101 s/w Illustr. 34 s/w Tab. 101 b/w ill. 34 b/w tbl.
ISBN-13:	9783110301731
ISBN-10:	3110301733
Sprache:	Englisch
Einband:	Gebunden
Autor:	Kulisch, Ulrich
Auflage:	1. Auflage
Hersteller:	De Gruyter de Gruyter, Walter, GmbH
Verantwortliche Person für die EU:	Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com
Maße:	246 x 175 x 37 mm
Von/Mit:	Ulrich Kulisch
Erscheinungsdatum:	17.04.2013
Gewicht:	1,041 kg