Finite Precision Number Systems and Arithmetic.:
"Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2010.
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors"--Provided by publisher |
| Beschreibung: | 1 online resource (718 pages) |
| Bibliographie: | Includes bibliographical references (pages 688-690) and indexes. |
| ISBN: | 9781139641401 1139641409 0521761352 9780521761352 9781139649025 1139649027 9780511778568 0511778562 9781139638562 1139638564 1139886827 9781139886826 1139648055 9781139648059 |
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Datensatz im Suchindex
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| adam_text | |
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| author | Kornerup, Peter |
| author2 | Matula, David W. |
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| author_GND | http://id.loc.gov/authorities/names/nr91036578 http://id.loc.gov/authorities/names/n80140634 |
| author_facet | Kornerup, Peter Matula, David W. |
| author_role | |
| author_sort | Kornerup, Peter |
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| callnumber-first | Q - Science |
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| callnumber-raw | QA248 .K627 2010 |
| callnumber-search | QA248 .K627 2010 |
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| contents | Preface; 1. Radix polynomial representations; 2. Base and digit set conversion; 3. Addition; 4. Multiplication; 5. Division; 6. Square root; 7. Floating point number systems; 8. Modular arithmetic and residue number systems; 9. Rational arithmetic; Author index; Index. |
| ctrlnum | (OCoLC)853359788 |
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| dewey-ones | 004 - Computer science 513 - Arithmetic |
| dewey-raw | 004.0151 513 |
| dewey-search | 004.0151 513 |
| dewey-sort | 14.0151 |
| dewey-tens | 000 - Computer science, information, general works 510 - Mathematics |
| discipline | Informatik |
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| genre | Electronic book. Electronic books. |
| genre_facet | Electronic book. Electronic books. |
| id | ZDB-4-EBA-ocn853359788 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:27Z |
| institution | BVB |
| isbn | 9781139641401 1139641409 0521761352 9780521761352 9781139649025 1139649027 9780511778568 0511778562 9781139638562 1139638564 1139886827 9781139886826 1139648055 9781139648059 |
| language | English |
| oclc_num | 853359788 |
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| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (718 pages) |
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| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Cambridge University Press, |
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| series | Encyclopedia of mathematics and its applications. |
| series2 | Encyclopedia of Mathematics and its Applications |
| spelling | Kornerup, Peter. http://id.loc.gov/authorities/names/nr91036578 Finite Precision Number Systems and Arithmetic. Cambridge : Cambridge University Press, 2010. 1 online resource (718 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of Mathematics and its Applications Print version record. Includes bibliographical references (pages 688-690) and indexes. Preface; 1. Radix polynomial representations; 2. Base and digit set conversion; 3. Addition; 4. Multiplication; 5. Division; 6. Square root; 7. Floating point number systems; 8. Modular arithmetic and residue number systems; 9. Rational arithmetic; Author index; Index. "Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors"--Provided by publisher English. Arithmetic Foundations. http://id.loc.gov/authorities/subjects/sh85007169 Arithmétique Fondements. MATHEMATICS Arithmetic. bisacsh Arithmetic Foundations fast Zahlentheorie gnd http://d-nb.info/gnd/4067277-3 Electronic book. Electronic books. Matula, David W. http://id.loc.gov/authorities/names/n80140634 Print version: Kornerup, Peter. Finite Precision Number Systems and Arithmetic. Cambridge : Cambridge University Press, ©2010 9780521761352 Encyclopedia of mathematics and its applications. http://id.loc.gov/authorities/names/n42010632 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=511701 Volltext |
| spellingShingle | Kornerup, Peter Finite Precision Number Systems and Arithmetic. Encyclopedia of mathematics and its applications. Preface; 1. Radix polynomial representations; 2. Base and digit set conversion; 3. Addition; 4. Multiplication; 5. Division; 6. Square root; 7. Floating point number systems; 8. Modular arithmetic and residue number systems; 9. Rational arithmetic; Author index; Index. Arithmetic Foundations. http://id.loc.gov/authorities/subjects/sh85007169 Arithmétique Fondements. MATHEMATICS Arithmetic. bisacsh Arithmetic Foundations fast Zahlentheorie gnd http://d-nb.info/gnd/4067277-3 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85007169 http://d-nb.info/gnd/4067277-3 |
| title | Finite Precision Number Systems and Arithmetic. |
| title_auth | Finite Precision Number Systems and Arithmetic. |
| title_exact_search | Finite Precision Number Systems and Arithmetic. |
| title_full | Finite Precision Number Systems and Arithmetic. |
| title_fullStr | Finite Precision Number Systems and Arithmetic. |
| title_full_unstemmed | Finite Precision Number Systems and Arithmetic. |
| title_short | Finite Precision Number Systems and Arithmetic. |
| title_sort | finite precision number systems and arithmetic |
| topic | Arithmetic Foundations. http://id.loc.gov/authorities/subjects/sh85007169 Arithmétique Fondements. MATHEMATICS Arithmetic. bisacsh Arithmetic Foundations fast Zahlentheorie gnd http://d-nb.info/gnd/4067277-3 |
| topic_facet | Arithmetic Foundations. Arithmétique Fondements. MATHEMATICS Arithmetic. Arithmetic Foundations Zahlentheorie Electronic book. Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=511701 |
| work_keys_str_mv | AT korneruppeter finiteprecisionnumbersystemsandarithmetic AT matuladavidw finiteprecisionnumbersystemsandarithmetic |