The prime number theorem:
At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The p...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2003
|
| Schriftenreihe: | London Mathematical Society student texts
53 |
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-92 DE-19 DE-355 Volltext |
| Zusammenfassung: | At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The prime number theorem tells us what this formula is and it is indisputably one of the great classical theorems of mathematics. This textbook gives an introduction to the prime number theorem suitable for advanced undergraduates and beginning graduate students. The author's aim is to show the reader how the tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own experiences of teaching this material |
| Beschreibung: | 1 Online-Ressource (x, 252 Seiten) |
| ISBN: | 9781139164986 |
| DOI: | 10.1017/CBO9781139164986 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043940826 | ||
| 003 | DE-604 | ||
| 005 | 20240603 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s2003 |||| o||u| ||||||eng d | ||
| 020 | |a 9781139164986 |c Online |9 978-1-139-16498-6 | ||
| 024 | 7 | |a 10.1017/CBO9781139164986 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781139164986 | ||
| 035 | |a (OCoLC)992836039 | ||
| 035 | |a (DE-599)BVBBV043940826 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-355 |a DE-19 | ||
| 082 | 0 | |a 512/.72 |2 21 | |
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 100 | 1 | |a Jameson, Graham J. O. |d 1942- |e Verfasser |0 (DE-588)107481138 |4 aut | |
| 245 | 1 | 0 | |a The prime number theorem |c G.J.O. Jameson |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2003 | |
| 300 | |a 1 Online-Ressource (x, 252 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a London Mathematical Society student texts |v 53 | |
| 520 | |a At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The prime number theorem tells us what this formula is and it is indisputably one of the great classical theorems of mathematics. This textbook gives an introduction to the prime number theorem suitable for advanced undergraduates and beginning graduate students. The author's aim is to show the reader how the tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own experiences of teaching this material | ||
| 650 | 4 | |a Numbers, Prime | |
| 650 | 0 | 7 | |a Primzahltheorie |0 (DE-588)4175715-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Primzahl |0 (DE-588)4047263-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Primzahl |0 (DE-588)4047263-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Primzahltheorie |0 (DE-588)4175715-4 |D s |
| 689 | 1 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-521-81411-9 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-521-89110-3 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9781139164986 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 966 | e | |u https://doi.org/10.1017/CBO9781139164986 |l DE-12 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781139164986 |l DE-92 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781139164986 |l DE-19 |p ZDB-20-CBO |q UBM_PDA_CBO_Kauf_2024 |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781139164986 |l DE-355 |p ZDB-20-CBO |q UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1805075227956215808 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Jameson, Graham J. O. 1942- |
| author_GND | (DE-588)107481138 |
| author_facet | Jameson, Graham J. O. 1942- |
| author_role | aut |
| author_sort | Jameson, Graham J. O. 1942- |
| author_variant | g j o j gjo gjoj |
| building | Verbundindex |
| bvnumber | BV043940826 |
| classification_rvk | SK 180 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781139164986 (OCoLC)992836039 (DE-599)BVBBV043940826 |
| dewey-full | 512/.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.72 |
| dewey-search | 512/.72 |
| dewey-sort | 3512 272 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139164986 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nmm a2200000zcb4500</leader><controlfield tag="001">BV043940826</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240603</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s2003 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139164986</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-139-16498-6</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9781139164986</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781139164986</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)992836039</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043940826</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.72</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="0">(DE-625)143222:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Jameson, Graham J. O.</subfield><subfield code="d">1942-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)107481138</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The prime number theorem</subfield><subfield code="c">G.J.O. Jameson</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (x, 252 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">London Mathematical Society student texts</subfield><subfield code="v">53</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The prime number theorem tells us what this formula is and it is indisputably one of the great classical theorems of mathematics. This textbook gives an introduction to the prime number theorem suitable for advanced undergraduates and beginning graduate students. The author's aim is to show the reader how the tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own experiences of teaching this material</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Numbers, Prime</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Primzahltheorie</subfield><subfield code="0">(DE-588)4175715-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Primzahl</subfield><subfield code="0">(DE-588)4047263-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Primzahl</subfield><subfield code="0">(DE-588)4047263-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Primzahltheorie</subfield><subfield code="0">(DE-588)4175715-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-0-521-81411-9</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-0-521-89110-3</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9781139164986</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139164986</subfield><subfield code="l">DE-12</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139164986</subfield><subfield code="l">DE-92</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139164986</subfield><subfield code="l">DE-19</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBM_PDA_CBO_Kauf_2024</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139164986</subfield><subfield code="l">DE-355</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBR Einzelkauf (Lückenergänzung CUP Serien 2018)</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043940826 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T05:38:03Z |
| institution | BVB |
| isbn | 9781139164986 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349796 |
| oclc_num | 992836039 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR DE-19 DE-BY-UBM |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR DE-19 DE-BY-UBM |
| physical | 1 Online-Ressource (x, 252 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBM_PDA_CBO_Kauf_2024 ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society student texts |
| spelling | Jameson, Graham J. O. 1942- Verfasser (DE-588)107481138 aut The prime number theorem G.J.O. Jameson Cambridge Cambridge University Press 2003 1 Online-Ressource (x, 252 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 53 At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The prime number theorem tells us what this formula is and it is indisputably one of the great classical theorems of mathematics. This textbook gives an introduction to the prime number theorem suitable for advanced undergraduates and beginning graduate students. The author's aim is to show the reader how the tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own experiences of teaching this material Numbers, Prime Primzahltheorie (DE-588)4175715-4 gnd rswk-swf Primzahl (DE-588)4047263-2 gnd rswk-swf Primzahl (DE-588)4047263-2 s DE-604 Primzahltheorie (DE-588)4175715-4 s Erscheint auch als Druck-Ausgabe 978-0-521-81411-9 Erscheint auch als Druck-Ausgabe 978-0-521-89110-3 https://doi.org/10.1017/CBO9781139164986 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Jameson, Graham J. O. 1942- The prime number theorem Numbers, Prime Primzahltheorie (DE-588)4175715-4 gnd Primzahl (DE-588)4047263-2 gnd |
| subject_GND | (DE-588)4175715-4 (DE-588)4047263-2 |
| title | The prime number theorem |
| title_auth | The prime number theorem |
| title_exact_search | The prime number theorem |
| title_full | The prime number theorem G.J.O. Jameson |
| title_fullStr | The prime number theorem G.J.O. Jameson |
| title_full_unstemmed | The prime number theorem G.J.O. Jameson |
| title_short | The prime number theorem |
| title_sort | the prime number theorem |
| topic | Numbers, Prime Primzahltheorie (DE-588)4175715-4 gnd Primzahl (DE-588)4047263-2 gnd |
| topic_facet | Numbers, Prime Primzahltheorie Primzahl |
| url | https://doi.org/10.1017/CBO9781139164986 |
| work_keys_str_mv | AT jamesongrahamjo theprimenumbertheorem |