Factorization and Primality Testing:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1989
|
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | "About binomial theorems I'm teeming with a lot of news, With many cheerful facts about the square on the hypotenuse. " - William S. Gilbert (The Pirates of Penzance, Act I) The question of divisibility is arguably the oldest problem in mathematics. Ancient peoples observed the cycles of nature: the day, the lunar month, and the year, and assumed that each divided evenly into the next. Civilizations as separate as the Egyptians of ten thousand years ago and the Central American Mayans adopted a month of thirty days and a year of twelve months. Even when the inaccuracy of a 360-day year became apparent, they preferred to retain it and add five intercalary days. The number 360 retains its psychological appeal today because it is divisible by many small integers. The technical term for such a number reflects this appeal. It is called a "smooth" number. At the other extreme are those integers with no smaller divisors other than 1, integers which might be called the indivisibles. The mystic qualities of numbers such as 7 and 13 derive in no small part from the fact that they are indivisibles. The ancient Greeks realized that every integer could be written uniquely as a product of indivisibles larger than 1, what we appropriately call prime numbers. To know the decomposition of an integer into a product of primes is to have a complete description of all of its divisors |
| Beschreibung: | 1 Online-Ressource (XIV, 240 p) |
| ISBN: | 9781461245445 9781461288718 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4612-4544-5 |
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Datensatz im Suchindex
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| author | Bressoud, David M. |
| author_facet | Bressoud, David M. |
| author_role | aut |
| author_sort | Bressoud, David M. |
| author_variant | d m b dm dmb |
| building | Verbundindex |
| bvnumber | BV042420307 |
| classification_tum | MAT 000 |
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| dewey-full | 512.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7 |
| dewey-search | 512.7 |
| dewey-sort | 3512.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-4544-5 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461245445 9781461288718 |
| issn | 0172-6056 |
| language | English |
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| spelling | Bressoud, David M. Verfasser aut Factorization and Primality Testing by David M. Bressoud New York, NY Springer New York 1989 1 Online-Ressource (XIV, 240 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 "About binomial theorems I'm teeming with a lot of news, With many cheerful facts about the square on the hypotenuse. " - William S. Gilbert (The Pirates of Penzance, Act I) The question of divisibility is arguably the oldest problem in mathematics. Ancient peoples observed the cycles of nature: the day, the lunar month, and the year, and assumed that each divided evenly into the next. Civilizations as separate as the Egyptians of ten thousand years ago and the Central American Mayans adopted a month of thirty days and a year of twelve months. Even when the inaccuracy of a 360-day year became apparent, they preferred to retain it and add five intercalary days. The number 360 retains its psychological appeal today because it is divisible by many small integers. The technical term for such a number reflects this appeal. It is called a "smooth" number. At the other extreme are those integers with no smaller divisors other than 1, integers which might be called the indivisibles. The mystic qualities of numbers such as 7 and 13 derive in no small part from the fact that they are indivisibles. The ancient Greeks realized that every integer could be written uniquely as a product of indivisibles larger than 1, what we appropriately call prime numbers. To know the decomposition of an integer into a product of primes is to have a complete description of all of its divisors Mathematics Number theory Number Theory Mathematik Primzahlzerlegung (DE-588)4175717-8 gnd rswk-swf Primzahl (DE-588)4047263-2 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Faktorisierung (DE-588)4128927-4 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 s Primzahlzerlegung (DE-588)4175717-8 s 1\p DE-604 Faktorisierung (DE-588)4128927-4 s 2\p DE-604 Primzahl (DE-588)4047263-2 s 3\p DE-604 https://doi.org/10.1007/978-1-4612-4544-5 Verlag 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 | Bressoud, David M. Factorization and Primality Testing Mathematics Number theory Number Theory Mathematik Primzahlzerlegung (DE-588)4175717-8 gnd Primzahl (DE-588)4047263-2 gnd Zahlentheorie (DE-588)4067277-3 gnd Faktorisierung (DE-588)4128927-4 gnd |
| subject_GND | (DE-588)4175717-8 (DE-588)4047263-2 (DE-588)4067277-3 (DE-588)4128927-4 |
| title | Factorization and Primality Testing |
| title_auth | Factorization and Primality Testing |
| title_exact_search | Factorization and Primality Testing |
| title_full | Factorization and Primality Testing by David M. Bressoud |
| title_fullStr | Factorization and Primality Testing by David M. Bressoud |
| title_full_unstemmed | Factorization and Primality Testing by David M. Bressoud |
| title_short | Factorization and Primality Testing |
| title_sort | factorization and primality testing |
| topic | Mathematics Number theory Number Theory Mathematik Primzahlzerlegung (DE-588)4175717-8 gnd Primzahl (DE-588)4047263-2 gnd Zahlentheorie (DE-588)4067277-3 gnd Faktorisierung (DE-588)4128927-4 gnd |
| topic_facet | Mathematics Number theory Number Theory Mathematik Primzahlzerlegung Primzahl Zahlentheorie Faktorisierung |
| url | https://doi.org/10.1007/978-1-4612-4544-5 |
| work_keys_str_mv | AT bressouddavidm factorizationandprimalitytesting |