UID:
edocfu_9958354182002883
Umfang:
1 online resource(xxii,434p.) :
,
illustrations.
Ausgabe:
Electronic reproduction. Berlin/Boston : De Gruyter, 2012. Mode of access: World Wide Web.
Ausgabe:
System requirements: Web browser.
Ausgabe:
Access may be restricted to users at subscribing institutions.
ISBN:
9783110301793
Serie:
De Gruyter Studies in Mathematics; 33
Inhalt:
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.
Anmerkung:
Frontmatter --
,
Foreword to the second edition --
,
Preface --
,
Contents --
,
Introduction --
,
Chapter 1. First concepts --
,
Chapter 2. Ringoids and vectoids --
,
Chapter 3. Definition of computer arithmetic --
,
Chapter 4. Interval arithmetic --
,
Chapter 5. Floating-point arithmetic --
,
Chapter 6. Implementation of floating-point arithmetic on a computer --
,
Chapter 7. Hardware support for interval arithmetic --
,
Chapter 8. Scalar products and complete arithmetic --
,
Chapter 9. Sample applications --
,
Appendix A. Frequently used symbols --
,
Appendix B. On homomorphism --
,
Bibliography --
,
List of figures --
,
List of tables --
,
Index.
,
Also available in print edition.
,
In English.
Weitere Ausg.:
ISBN 9783110301731
Weitere Ausg.:
ISBN 9783110301809
Sprache:
Englisch
DOI:
10.1515/9783110301793
URL:
https://doi.org/10.1515/9783110301793
