The Development of Prime Number Theory: From Euclid to Hardy and Littlewood
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2000
|
| Schriftenreihe: | Springer Monographs in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 1. People were already interested in prime numbers in ancient times, and the first result concerning the distribution of primes appears in Euclid's Elementa, where we find a proof of their infinitude, now regarded as canonical. One feels that Euclid's argument has its place in The Book, often quoted by the late Paul Erdös, where the ultimate forms of mathematical arguments are preserved. Proofs of most other results on prime number distribution seem to be still far away from their optimal form and the aim of this book is to present the development of methods with which such problems were attacked in the course of time. This is not a historical book since we refrain from giving biographical details of the people who have played a role in this development and we do not discuss the questions concerning why each particular person became interested in primes, because, usually, exact answers to them are impossible to obtain. Our idea is to present the development of the theory of the distribution of prime numbers in the period starting in antiquity and concluding at the end of the first decade of the 20th century. We shall also present some later developments, mostly in short comments, although the reader will find certain exceptions to that rule. The period of the last 80 years was full of new ideas (we mention only the applications of trigonometrical sums or the advent of various sieve methods) and certainly demands a separate book |
| Beschreibung: | 1 Online-Ressource (XII, 449 p) |
| ISBN: | 9783662131572 9783642085574 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-3-662-13157-2 |
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| discipline | Mathematik |
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| id | DE-604.BV042423496 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662131572 9783642085574 |
| issn | 1439-7382 |
| language | English |
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| spelling | Narkiewicz, Władysław 1936- Verfasser (DE-588)11036676X aut The Development of Prime Number Theory From Euclid to Hardy and Littlewood by Władysław Narkiewicz Berlin, Heidelberg Springer Berlin Heidelberg 2000 1 Online-Ressource (XII, 449 p) txt rdacontent c rdamedia cr rdacarrier Springer Monographs in Mathematics 1439-7382 1. People were already interested in prime numbers in ancient times, and the first result concerning the distribution of primes appears in Euclid's Elementa, where we find a proof of their infinitude, now regarded as canonical. One feels that Euclid's argument has its place in The Book, often quoted by the late Paul Erdös, where the ultimate forms of mathematical arguments are preserved. Proofs of most other results on prime number distribution seem to be still far away from their optimal form and the aim of this book is to present the development of methods with which such problems were attacked in the course of time. This is not a historical book since we refrain from giving biographical details of the people who have played a role in this development and we do not discuss the questions concerning why each particular person became interested in primes, because, usually, exact answers to them are impossible to obtain. Our idea is to present the development of the theory of the distribution of prime numbers in the period starting in antiquity and concluding at the end of the first decade of the 20th century. We shall also present some later developments, mostly in short comments, although the reader will find certain exceptions to that rule. The period of the last 80 years was full of new ideas (we mention only the applications of trigonometrical sums or the advent of various sieve methods) and certainly demands a separate book Mathematics Global analysis (Mathematics) Number theory Number Theory Analysis History of Mathematical Sciences Mathematik Primzahltheorie (DE-588)4175715-4 gnd rswk-swf Primzahltheorie (DE-588)4175715-4 s 1\p DE-604 https://doi.org/10.1007/978-3-662-13157-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Narkiewicz, Władysław 1936- The Development of Prime Number Theory From Euclid to Hardy and Littlewood Mathematics Global analysis (Mathematics) Number theory Number Theory Analysis History of Mathematical Sciences Mathematik Primzahltheorie (DE-588)4175715-4 gnd |
| subject_GND | (DE-588)4175715-4 |
| title | The Development of Prime Number Theory From Euclid to Hardy and Littlewood |
| title_auth | The Development of Prime Number Theory From Euclid to Hardy and Littlewood |
| title_exact_search | The Development of Prime Number Theory From Euclid to Hardy and Littlewood |
| title_full | The Development of Prime Number Theory From Euclid to Hardy and Littlewood by Władysław Narkiewicz |
| title_fullStr | The Development of Prime Number Theory From Euclid to Hardy and Littlewood by Władysław Narkiewicz |
| title_full_unstemmed | The Development of Prime Number Theory From Euclid to Hardy and Littlewood by Władysław Narkiewicz |
| title_short | The Development of Prime Number Theory |
| title_sort | the development of prime number theory from euclid to hardy and littlewood |
| title_sub | From Euclid to Hardy and Littlewood |
| topic | Mathematics Global analysis (Mathematics) Number theory Number Theory Analysis History of Mathematical Sciences Mathematik Primzahltheorie (DE-588)4175715-4 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Number theory Number Theory Analysis History of Mathematical Sciences Mathematik Primzahltheorie |
| url | https://doi.org/10.1007/978-3-662-13157-2 |
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