The Golden ratio and Fibonacci numbers:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey [u.a.]
World Scientific
2003
|
| Ausgabe: | Repr. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VII, 162 S. Ill., graph. Darst. |
| ISBN: | 9810232640 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV017042378 | ||
| 003 | DE-604 | ||
| 005 | 20030818 | ||
| 007 | t | ||
| 008 | 030407s2003 xxuad|| |||| 00||| eng d | ||
| 020 | |a 9810232640 |9 981-02-3264-0 | ||
| 035 | |a (OCoLC)440656044 | ||
| 035 | |a (DE-599)BVBBV017042378 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c XD-US | ||
| 049 | |a DE-739 |a DE-521 | ||
| 050 | 0 | |a QA466.D86 1997 | |
| 080 | |a 51 | ||
| 082 | 0 | |a 512/.72 21 | |
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 100 | 1 | |a Dunlap, Richard A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The Golden ratio and Fibonacci numbers |c Richard A. Dunlap |
| 250 | |a Repr. | ||
| 264 | 1 | |a New Jersey [u.a.] |b World Scientific |c 2003 | |
| 300 | |a VII, 162 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Golden section | |
| 650 | 4 | |a Fibonacci numbers | |
| 650 | 0 | 7 | |a Goldener Schnitt |0 (DE-588)4021529-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Schnitt |g Mathematik |0 (DE-588)4458889-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fibonacci-Folge |0 (DE-588)4249138-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Schnitt |g Mathematik |0 (DE-588)4458889-6 |D s |
| 689 | 0 | 1 | |a Goldener Schnitt |0 (DE-588)4021529-5 |D s |
| 689 | 0 | 2 | |a Fibonacci-Folge |0 (DE-588)4249138-1 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Fibonacci-Folge |0 (DE-588)4249138-1 |D s |
| 689 | 1 | |5 DE-604 | |
| 856 | 4 | 2 | |m HEBIS Datenaustausch Darmstadt |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010284893&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-010284893 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804129939507642368 |
|---|---|
| adam_text | R THE GOLDEN RATIO AND FIBONACCI NUMBERS BY RICHARD A. DUNLAP DALHOUSIE
UNIVERSITY CANADA WORLD SCIENTIFIC NEW JERSEY * LONDON * SINGAPORE *
HONG KONG CONTENTS PREFACE V CHAPTER 1: INTRODUCTION 1 CHAPTER 2: BASIC
PROPERTIES OF THE GOLDEN RATIO 7 CHAPTER 3: GEOMETRIC PROBLEMS IN TWO
DIMENSIONS 15 CHAPTER 4: GEOMETRIC PROBLEMS IN THREE DIMENSIONS 23
CHAPTER 5: FIBONACCI NUMBERS 35 CHAPTER 6: LUCAS NUMBERS AND GENERALIZED
FIBONACCI NUMBERS 51 CHAPTER 7: CONTINUED FRACTIONS AND RATIONAL
APPROXIMANTS 63 CHAPTER 8: GENERALIZED FIBONACCI REPRESENTATION THEOREMS
71 CHAPTER 9: OPTIMAL SPACING AND SEARCH ALGORITHMS 79 CHAPTER 10:
COMMENSURATE AND INCOMMENSURATE PROJECTIONS 87 CHAPTER 11: PENROSE
TILINGS 97 CHAPTER 12: QUASICRYSTALLOGRAPHY 111 CHAPTER 13: BIOLOGICAL
APPLICATIONS 123 APPENDDC I: CONSTRUCTION OF THE REGULAR PENTAGON 137
APPENDIX H: THE FIRST 100 FIBONACCI AND LUCAS NUMBERS 139 APPENDIX M:
RELATIONSHIPS INVOLVING THE GOLDEN RATIO AND GENERALIZED FIBONACCI
NUMBERS 143 REFERENCES 153 INDEX 157
|
| any_adam_object | 1 |
| author | Dunlap, Richard A. |
| author_facet | Dunlap, Richard A. |
| author_role | aut |
| author_sort | Dunlap, Richard A. |
| author_variant | r a d ra rad |
| building | Verbundindex |
| bvnumber | BV017042378 |
| callnumber-first | Q - Science |
| callnumber-label | QA466 |
| callnumber-raw | QA466.D86 1997 |
| callnumber-search | QA466.D86 1997 |
| callnumber-sort | QA 3466 D86 41997 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)440656044 (DE-599)BVBBV017042378 |
| dewey-full | 512/.7221 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.72 21 |
| dewey-search | 512/.72 21 |
| dewey-sort | 3512 272 221 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Repr. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01799nam a2200481 c 4500</leader><controlfield tag="001">BV017042378</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20030818 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">030407s2003 xxuad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9810232640</subfield><subfield code="9">981-02-3264-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)440656044</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV017042378</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</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-739</subfield><subfield code="a">DE-521</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA466.D86 1997</subfield></datafield><datafield tag="080" ind1=" " ind2=" "><subfield code="a">51</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.72 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">Dunlap, Richard A.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Golden ratio and Fibonacci numbers</subfield><subfield code="c">Richard A. Dunlap</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Repr.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New Jersey [u.a.]</subfield><subfield code="b">World Scientific</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VII, 162 S.</subfield><subfield code="b">Ill., graph. Darst.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Golden section</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fibonacci numbers</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Goldener Schnitt</subfield><subfield code="0">(DE-588)4021529-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Schnitt</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4458889-6</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="689" ind1="0" ind2="0"><subfield code="a">Schnitt</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4458889-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Goldener Schnitt</subfield><subfield code="0">(DE-588)4021529-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><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=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" 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="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch Darmstadt</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010284893&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-010284893</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV017042378 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:13:06Z |
| institution | BVB |
| isbn | 9810232640 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010284893 |
| oclc_num | 440656044 |
| open_access_boolean | |
| owner | DE-739 DE-521 |
| owner_facet | DE-739 DE-521 |
| physical | VII, 162 S. Ill., graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Dunlap, Richard A. Verfasser aut The Golden ratio and Fibonacci numbers Richard A. Dunlap Repr. New Jersey [u.a.] World Scientific 2003 VII, 162 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Golden section Fibonacci numbers Goldener Schnitt (DE-588)4021529-5 gnd rswk-swf Schnitt Mathematik (DE-588)4458889-6 gnd rswk-swf Fibonacci-Folge (DE-588)4249138-1 gnd rswk-swf Schnitt Mathematik (DE-588)4458889-6 s Goldener Schnitt (DE-588)4021529-5 s Fibonacci-Folge (DE-588)4249138-1 s 1\p DE-604 DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010284893&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dunlap, Richard A. The Golden ratio and Fibonacci numbers Golden section Fibonacci numbers Goldener Schnitt (DE-588)4021529-5 gnd Schnitt Mathematik (DE-588)4458889-6 gnd Fibonacci-Folge (DE-588)4249138-1 gnd |
| subject_GND | (DE-588)4021529-5 (DE-588)4458889-6 (DE-588)4249138-1 |
| title | The Golden ratio and Fibonacci numbers |
| title_auth | The Golden ratio and Fibonacci numbers |
| title_exact_search | The Golden ratio and Fibonacci numbers |
| title_full | The Golden ratio and Fibonacci numbers Richard A. Dunlap |
| title_fullStr | The Golden ratio and Fibonacci numbers Richard A. Dunlap |
| title_full_unstemmed | The Golden ratio and Fibonacci numbers Richard A. Dunlap |
| title_short | The Golden ratio and Fibonacci numbers |
| title_sort | the golden ratio and fibonacci numbers |
| topic | Golden section Fibonacci numbers Goldener Schnitt (DE-588)4021529-5 gnd Schnitt Mathematik (DE-588)4458889-6 gnd Fibonacci-Folge (DE-588)4249138-1 gnd |
| topic_facet | Golden section Fibonacci numbers Goldener Schnitt Schnitt Mathematik Fibonacci-Folge |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010284893&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT dunlapricharda thegoldenratioandfibonaccinumbers |