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 of nu...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2010
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 133 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xv, 699 pages) |
| ISBN: | 9780511778568 |
| DOI: | 10.1017/CBO9780511778568 |
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| 505 | 8 | |a 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 | |
| 520 | |a 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 | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Kornerup, Peter |
| author_facet | Kornerup, Peter |
| author_role | aut |
| author_sort | Kornerup, Peter |
| author_variant | p k pk |
| building | Verbundindex |
| bvnumber | BV043942084 |
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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 | (ZDB-20-CBO)CR9780511778568 (OCoLC)890451326 (DE-599)BVBBV043942084 |
| dewey-full | 513 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 513 - Arithmetic |
| dewey-raw | 513 |
| dewey-search | 513 |
| dewey-sort | 3513 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511778568 |
| format | Electronic eBook |
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| isbn | 9780511778568 |
| language | English |
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| spelling | Kornerup, Peter Verfasser aut Finite precision number systems and arithmetic Peter Kornerup, David W. Matula Finite Precision Number Systems & Arithmetic Cambridge Cambridge University Press 2010 1 online resource (xv, 699 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 133 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 Arithmetic / Foundations Computerarithmetik (DE-588)4135485-0 gnd rswk-swf Zahlensystem (DE-588)4117700-9 gnd rswk-swf Rechnen (DE-588)4048716-7 gnd rswk-swf Computer (DE-588)4070083-5 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Zahlensystem (DE-588)4117700-9 s Rechnen (DE-588)4048716-7 s Computer (DE-588)4070083-5 s 2\p DE-604 Computerarithmetik (DE-588)4135485-0 s 3\p DE-604 Matula, David W. Sonstige oth Erscheint auch als Druckausgabe 978-0-521-76135-2 https://doi.org/10.1017/CBO9780511778568 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kornerup, Peter Finite precision number systems and arithmetic 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 Computerarithmetik (DE-588)4135485-0 gnd Zahlensystem (DE-588)4117700-9 gnd Rechnen (DE-588)4048716-7 gnd Computer (DE-588)4070083-5 gnd |
| subject_GND | (DE-588)4135485-0 (DE-588)4117700-9 (DE-588)4048716-7 (DE-588)4070083-5 (DE-588)4123623-3 |
| title | Finite precision number systems and arithmetic |
| title_alt | Finite Precision Number Systems & 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 Peter Kornerup, David W. Matula |
| title_fullStr | Finite precision number systems and arithmetic Peter Kornerup, David W. Matula |
| title_full_unstemmed | Finite precision number systems and arithmetic Peter Kornerup, David W. Matula |
| title_short | Finite precision number systems and arithmetic |
| title_sort | finite precision number systems and arithmetic |
| topic | Arithmetic / Foundations Computerarithmetik (DE-588)4135485-0 gnd Zahlensystem (DE-588)4117700-9 gnd Rechnen (DE-588)4048716-7 gnd Computer (DE-588)4070083-5 gnd |
| topic_facet | Arithmetic / Foundations Computerarithmetik Zahlensystem Rechnen Computer Lehrbuch |
| url | https://doi.org/10.1017/CBO9780511778568 |
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