Perfect numbers and Fibonacci sequences:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2022]
|
| Schlagwörter: | |
| Links: | https://ebookcentral.proquest.com/lib/munchentech/detail.action?docID=7108289 https://doi.org/10.1142/12477 https://worldscientific.com/worldscibooks/10.1142/12477 |
| Abstract: | The history of perfect numbers -- Questions related to perfect numbers -- The Fibonacci sequence -- Lucas numbers and Lucas sequences -- Perfect numbers and Fibonacci primes. "In this book we first review the history and the current situation of the perfect number problem, including the origin of Mersenne prime number, and then the history and the current situation of Fibonacci sequence, both of which have our own research work. Later, we define the square perfect number, explore and reveal for the first time the secret relationship between square perfect number and Fibonacci sequence, Lucas sequence, twin prime conjecture and Fermat prime"-- |
| Umfang: | 1 Online-Ressource (xxv, 234 Seiten) Illustrationen, Diagramme |
| ISBN: | 9789811244087 9789811244094 |
| DOI: | 10.1142/12477 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV049311245 | ||
| 003 | DE-604 | ||
| 005 | 20230912 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 230904s2022 xxua||| o|||| 00||| eng d | ||
| 020 | |a 9789811244087 |9 978-981-12-4408-7 | ||
| 020 | |a 9789811244094 |9 978-981-12-4409-4 | ||
| 024 | 7 | |a 10.1142/12477 |2 doi | |
| 035 | |a (OCoLC)1401202629 | ||
| 035 | |a (DE-599)KXP1811703437 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c XD-US | ||
| 049 | |a DE-91G | ||
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 084 | |a 11B39 |2 msc | ||
| 084 | |a 31.02 |2 bkl | ||
| 084 | |a 31.01 |2 bkl | ||
| 084 | |a MAT 104 |2 stub | ||
| 084 | |a 11-01 |2 msc | ||
| 100 | 1 | |a Cai, Tianxin |d 1963- |e Verfasser |0 (DE-588)1122993919 |4 aut | |
| 245 | 1 | 0 | |a Perfect numbers and Fibonacci sequences |c Cai Tianxin (Zhejiang University, China) ; translated by Tyler Ross (New York, USA) |
| 264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo |b World Scientific |c [2022] | |
| 300 | |a 1 Online-Ressource (xxv, 234 Seiten) |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 520 | 3 | |a The history of perfect numbers -- Questions related to perfect numbers -- The Fibonacci sequence -- Lucas numbers and Lucas sequences -- Perfect numbers and Fibonacci primes. | |
| 520 | 3 | |a "In this book we first review the history and the current situation of the perfect number problem, including the origin of Mersenne prime number, and then the history and the current situation of Fibonacci sequence, both of which have our own research work. Later, we define the square perfect number, explore and reveal for the first time the secret relationship between square perfect number and Fibonacci sequence, Lucas sequence, twin prime conjecture and Fermat prime"-- | |
| 650 | 0 | 7 | |a Zahlentheorie |0 (DE-588)4067277-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fibonacci-Folge |0 (DE-588)4249138-1 |2 gnd |9 rswk-swf |
| 653 | 0 | |a Perfect numbers | |
| 653 | 0 | |a Fibonacci numbers | |
| 689 | 0 | 0 | |a Fibonacci-Folge |0 (DE-588)4249138-1 |D s |
| 689 | 0 | 1 | |a Zahlentheorie |0 (DE-588)4067277-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, Hardcover |z 978-981-12-4407-0 |
| 856 | 4 | 0 | |u https://doi.org/10.1142/12477 |x Resolving-System |z URL des Erstveröffentlichers |3 Volltext |
| 856 | 4 | 0 | |u https://worldscientific.com/worldscibooks/10.1142/12477 |x Verlag |z URL des Erstveröffentlichers |
| 912 | |a ZDB-30-PQE | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-034572355 | |
| 966 | e | |u https://ebookcentral.proquest.com/lib/munchentech/detail.action?docID=7108289 |l DE-91 |p ZDB-30-PQE |q TUM_Einzelkauf_2023 |x Aggregator |3 Volltext | |
Datensatz im Suchindex
| DE-BY-TUM_katkey | 2759054 |
|---|---|
| _version_ | 1821936684218974209 |
| any_adam_object | |
| author | Cai, Tianxin 1963- |
| author_GND | (DE-588)1122993919 |
| author_facet | Cai, Tianxin 1963- |
| author_role | aut |
| author_sort | Cai, Tianxin 1963- |
| author_variant | t c tc |
| building | Verbundindex |
| bvnumber | BV049311245 |
| classification_rvk | SK 180 |
| classification_tum | MAT 104 |
| collection | ZDB-30-PQE |
| ctrlnum | (OCoLC)1401202629 (DE-599)KXP1811703437 |
| discipline | Mathematik |
| doi_str_mv | 10.1142/12477 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02727nam a2200529 c 4500</leader><controlfield tag="001">BV049311245</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230912 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">230904s2022 xxua||| o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789811244087</subfield><subfield code="9">978-981-12-4408-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789811244094</subfield><subfield code="9">978-981-12-4409-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1142/12477</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1401202629</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)KXP1811703437</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="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">XD-US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</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="084" ind1=" " ind2=" "><subfield code="a">11B39</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.02</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.01</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 104</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cai, Tianxin</subfield><subfield code="d">1963-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1122993919</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Perfect numbers and Fibonacci sequences</subfield><subfield code="c">Cai Tianxin (Zhejiang University, China) ; translated by Tyler Ross (New York, USA)</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo</subfield><subfield code="b">World Scientific</subfield><subfield code="c">[2022]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xxv, 234 Seiten)</subfield><subfield code="b">Illustrationen, Diagramme</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="520" ind1="3" ind2=" "><subfield code="a">The history of perfect numbers -- Questions related to perfect numbers -- The Fibonacci sequence -- Lucas numbers and Lucas sequences -- Perfect numbers and Fibonacci primes.</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">"In this book we first review the history and the current situation of the perfect number problem, including the origin of Mersenne prime number, and then the history and the current situation of Fibonacci sequence, both of which have our own research work. Later, we define the square perfect number, explore and reveal for the first time the secret relationship between square perfect number and Fibonacci sequence, Lucas sequence, twin prime conjecture and Fermat prime"--</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zahlentheorie</subfield><subfield code="0">(DE-588)4067277-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fibonacci-Folge</subfield><subfield code="0">(DE-588)4249138-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Perfect numbers</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Fibonacci numbers</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Fibonacci-Folge</subfield><subfield code="0">(DE-588)4249138-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Zahlentheorie</subfield><subfield code="0">(DE-588)4067277-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" 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, Hardcover</subfield><subfield code="z">978-981-12-4407-0</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1142/12477</subfield><subfield code="x">Resolving-System</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://worldscientific.com/worldscibooks/10.1142/12477</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-30-PQE</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-034572355</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://ebookcentral.proquest.com/lib/munchentech/detail.action?docID=7108289</subfield><subfield code="l">DE-91</subfield><subfield code="p">ZDB-30-PQE</subfield><subfield code="q">TUM_Einzelkauf_2023</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV049311245 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T20:06:13Z |
| institution | BVB |
| isbn | 9789811244087 9789811244094 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034572355 |
| oclc_num | 1401202629 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 1 Online-Ressource (xxv, 234 Seiten) Illustrationen, Diagramme |
| psigel | ZDB-30-PQE ZDB-30-PQE TUM_Einzelkauf_2023 |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | World Scientific |
| record_format | marc |
| spellingShingle | Cai, Tianxin 1963- Perfect numbers and Fibonacci sequences Zahlentheorie (DE-588)4067277-3 gnd Fibonacci-Folge (DE-588)4249138-1 gnd |
| subject_GND | (DE-588)4067277-3 (DE-588)4249138-1 |
| title | Perfect numbers and Fibonacci sequences |
| title_auth | Perfect numbers and Fibonacci sequences |
| title_exact_search | Perfect numbers and Fibonacci sequences |
| title_full | Perfect numbers and Fibonacci sequences Cai Tianxin (Zhejiang University, China) ; translated by Tyler Ross (New York, USA) |
| title_fullStr | Perfect numbers and Fibonacci sequences Cai Tianxin (Zhejiang University, China) ; translated by Tyler Ross (New York, USA) |
| title_full_unstemmed | Perfect numbers and Fibonacci sequences Cai Tianxin (Zhejiang University, China) ; translated by Tyler Ross (New York, USA) |
| title_short | Perfect numbers and Fibonacci sequences |
| title_sort | perfect numbers and fibonacci sequences |
| topic | Zahlentheorie (DE-588)4067277-3 gnd Fibonacci-Folge (DE-588)4249138-1 gnd |
| topic_facet | Zahlentheorie Fibonacci-Folge |
| url | https://doi.org/10.1142/12477 https://worldscientific.com/worldscibooks/10.1142/12477 |
| work_keys_str_mv | AT caitianxin perfectnumbersandfibonaccisequences |