Energy of knots and conformal geometry:
Energy of knots is a theory that was introduced to create a "canonical configuration" of a knot - a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a "canonical configuration" of a k...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2003
|
| Schriftenreihe: | K & E series on knots and everything
v. 33 |
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | Energy of knots is a theory that was introduced to create a "canonical configuration" of a knot - a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a "canonical configuration" of a knot in each knot type. It also considers this problem in the context of conformal geometry. The energies presented in the book are defined geometrically. They measure the complexity of embeddings and have applications to physical knotting and unknotting through numerical experiments |
| Beschreibung: | xiv, 288 p. ill |
| ISBN: | 9789812795304 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV044635687 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 171120s2003 |||| o||u| ||||||eng d | ||
| 020 | |a 9789812795304 |c electronic bk. |9 978-981-279-530-4 | ||
| 024 | 7 | |a 10.1142/5229 |2 doi | |
| 035 | |a (ZDB-124-WOP)00003548 | ||
| 035 | |a (OCoLC)1012623239 | ||
| 035 | |a (DE-599)BVBBV044635687 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-92 | ||
| 082 | 0 | |a 514.2242 |2 22 | |
| 084 | |a SK 300 |0 (DE-625)143230: |2 rvk | ||
| 100 | 1 | |a O'Hara, Jun |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Energy of knots and conformal geometry |c Jun O'Hara |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c2003 | |
| 300 | |a xiv, 288 p. |b ill | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a K & E series on knots and everything |v v. 33 | |
| 520 | |a Energy of knots is a theory that was introduced to create a "canonical configuration" of a knot - a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a "canonical configuration" of a knot in each knot type. It also considers this problem in the context of conformal geometry. The energies presented in the book are defined geometrically. They measure the complexity of embeddings and have applications to physical knotting and unknotting through numerical experiments | ||
| 650 | 4 | |a Knot theory | |
| 650 | 4 | |a Conformal geometry | |
| 650 | 0 | 7 | |a Konforme Struktur |0 (DE-588)4500911-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Energie |0 (DE-588)4014692-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Knotentheorie |0 (DE-588)4164318-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Knotentheorie |0 (DE-588)4164318-5 |D s |
| 689 | 0 | 1 | |a Konforme Struktur |0 (DE-588)4500911-9 |D s |
| 689 | 0 | 2 | |a Energie |0 (DE-588)4014692-3 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9789812383167 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9812383166 |
| 856 | 4 | 0 | |u http://www.worldscientific.com/worldscibooks/10.1142/5229#t=toc |x Verlag |z URL des Erstveroeffentlichers |3 Volltext |
| 912 | |a ZDB-124-WOP | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030033659 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u http://www.worldscientific.com/worldscibooks/10.1142/5229#t=toc |l FHN01 |p ZDB-124-WOP |q FHN_PDA_WOP |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804178049062666240 |
|---|---|
| any_adam_object | |
| author | O'Hara, Jun |
| author_facet | O'Hara, Jun |
| author_role | aut |
| author_sort | O'Hara, Jun |
| author_variant | j o jo |
| building | Verbundindex |
| bvnumber | BV044635687 |
| classification_rvk | SK 300 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00003548 (OCoLC)1012623239 (DE-599)BVBBV044635687 |
| dewey-full | 514.2242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.2242 |
| dewey-search | 514.2242 |
| dewey-sort | 3514.2242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02462nmm a2200505zcb4500</leader><controlfield tag="001">BV044635687</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">171120s2003 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789812795304</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-981-279-530-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1142/5229</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-124-WOP)00003548</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1012623239</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044635687</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514.2242</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 300</subfield><subfield code="0">(DE-625)143230:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">O'Hara, Jun</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Energy of knots and conformal geometry</subfield><subfield code="c">Jun O'Hara</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore</subfield><subfield code="b">World Scientific Pub. Co.</subfield><subfield code="c">c2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xiv, 288 p.</subfield><subfield code="b">ill</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">K & E series on knots and everything</subfield><subfield code="v">v. 33</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Energy of knots is a theory that was introduced to create a "canonical configuration" of a knot - a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a "canonical configuration" of a knot in each knot type. It also considers this problem in the context of conformal geometry. The energies presented in the book are defined geometrically. They measure the complexity of embeddings and have applications to physical knotting and unknotting through numerical experiments</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Knot theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Conformal geometry</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konforme Struktur</subfield><subfield code="0">(DE-588)4500911-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Energie</subfield><subfield code="0">(DE-588)4014692-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Knotentheorie</subfield><subfield code="0">(DE-588)4164318-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Knotentheorie</subfield><subfield code="0">(DE-588)4164318-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Konforme Struktur</subfield><subfield code="0">(DE-588)4500911-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Energie</subfield><subfield code="0">(DE-588)4014692-3</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="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9789812383167</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">9812383166</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/5229#t=toc</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveroeffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-124-WOP</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030033659</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><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/5229#t=toc</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-124-WOP</subfield><subfield code="q">FHN_PDA_WOP</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV044635687 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:47Z |
| institution | BVB |
| isbn | 9789812795304 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030033659 |
| oclc_num | 1012623239 |
| open_access_boolean | |
| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xiv, 288 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | K & E series on knots and everything |
| spelling | O'Hara, Jun Verfasser aut Energy of knots and conformal geometry Jun O'Hara Singapore World Scientific Pub. Co. c2003 xiv, 288 p. ill txt rdacontent c rdamedia cr rdacarrier K & E series on knots and everything v. 33 Energy of knots is a theory that was introduced to create a "canonical configuration" of a knot - a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a "canonical configuration" of a knot in each knot type. It also considers this problem in the context of conformal geometry. The energies presented in the book are defined geometrically. They measure the complexity of embeddings and have applications to physical knotting and unknotting through numerical experiments Knot theory Conformal geometry Konforme Struktur (DE-588)4500911-9 gnd rswk-swf Energie (DE-588)4014692-3 gnd rswk-swf Knotentheorie (DE-588)4164318-5 gnd rswk-swf Knotentheorie (DE-588)4164318-5 s Konforme Struktur (DE-588)4500911-9 s Energie (DE-588)4014692-3 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789812383167 Erscheint auch als Druck-Ausgabe 9812383166 http://www.worldscientific.com/worldscibooks/10.1142/5229#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | O'Hara, Jun Energy of knots and conformal geometry Knot theory Conformal geometry Konforme Struktur (DE-588)4500911-9 gnd Energie (DE-588)4014692-3 gnd Knotentheorie (DE-588)4164318-5 gnd |
| subject_GND | (DE-588)4500911-9 (DE-588)4014692-3 (DE-588)4164318-5 |
| title | Energy of knots and conformal geometry |
| title_auth | Energy of knots and conformal geometry |
| title_exact_search | Energy of knots and conformal geometry |
| title_full | Energy of knots and conformal geometry Jun O'Hara |
| title_fullStr | Energy of knots and conformal geometry Jun O'Hara |
| title_full_unstemmed | Energy of knots and conformal geometry Jun O'Hara |
| title_short | Energy of knots and conformal geometry |
| title_sort | energy of knots and conformal geometry |
| topic | Knot theory Conformal geometry Konforme Struktur (DE-588)4500911-9 gnd Energie (DE-588)4014692-3 gnd Knotentheorie (DE-588)4164318-5 gnd |
| topic_facet | Knot theory Conformal geometry Konforme Struktur Energie Knotentheorie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/5229#t=toc |
| work_keys_str_mv | AT oharajun energyofknotsandconformalgeometry |