n-Gons:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Toronto
University of Toronto Press
[2016]
|
Schriftenreihe: | Heritage
|
Schlagworte: | |
Online-Zugang: | DE-859 DE-860 DE-739 DE-1046 DE-1043 DE-858 Volltext |
Beschreibung: | Description based on online resource; title from PDF title page (publisher’s Web site, viewed Jan. 06, 2016) |
Beschreibung: | 1 online resource |
ISBN: | 9781442656444 |
Internformat
MARC
LEADER | 00000nam a2200000zc 4500 | ||
---|---|---|---|
001 | BV043492176 | ||
003 | DE-604 | ||
005 | 20181211 | ||
007 | cr|uuu---uuuuu | ||
008 | 160404s2016 xx o|||| 00||| eng d | ||
020 | |a 9781442656444 |9 978-1-4426-5644-4 | ||
024 | 7 | |a 10.3138/9781442656444 |2 doi | |
035 | |a (ZDB-23-DGG)9781442656444 | ||
035 | |a (OCoLC)1165497181 | ||
035 | |a (DE-599)BVBBV043492176 | ||
040 | |a DE-604 |b ger |e rda | ||
041 | 0 | |a eng | |
049 | |a DE-859 |a DE-860 |a DE-739 |a DE-1046 |a DE-1043 |a DE-858 | ||
082 | 0 | |a 516/.22 | |
100 | 1 | |a Bachmann, Friedrich |d 1909-1982 |e Verfasser |0 (DE-588)117707481 |4 aut | |
245 | 1 | 0 | |a n-Gons |c Friedrich Bachmann, Eckart Schmidt |
264 | 1 | |a Toronto |b University of Toronto Press |c [2016] | |
264 | 4 | |c © 1975 | |
300 | |a 1 online resource | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 0 | |a Heritage | |
500 | |a Description based on online resource; title from PDF title page (publisher’s Web site, viewed Jan. 06, 2016) | ||
505 | 8 | |a This book, a translation of the German volume n-Ecke, presents an elegant geometric theory which, starting from quite elementary geometrical observations, exhibits an interesting connection between geometry and fundamental ideas of modern algebra in a form that is easily accessible to the student who lacks a sophisticated background in mathematics. It stimulates geometrical thought by applying the tools of linear algebra and the algebra of polynomials to a concrete geometrical situation to reveal some rather surprising insights into the geometry of n-gons. The twelve chapters treat n-gons, classes of n-gons, and mapping of the set of n-gons into itself. Exercises are included throughout, and two appendixes, by Henner Kinder and Eckart Schmidt, provide background material on lattices and cyclotomic polynomials.(Mathematical Expositions No. 18) | |
650 | 4 | |a Polygons | |
650 | 4 | |a Set theory | |
650 | 0 | 7 | |a Lineare Algebra |0 (DE-588)4035811-2 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Algebraische Struktur |0 (DE-588)4001166-5 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Polygon |0 (DE-588)4175197-8 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Polygon |0 (DE-588)4175197-8 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
689 | 1 | 0 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
689 | 1 | |8 2\p |5 DE-604 | |
689 | 2 | 0 | |a Lineare Algebra |0 (DE-588)4035811-2 |D s |
689 | 2 | |8 3\p |5 DE-604 | |
689 | 3 | 0 | |a Algebraische Struktur |0 (DE-588)4001166-5 |D s |
689 | 3 | |8 4\p |5 DE-604 | |
700 | 1 | |a Garner, C. W. L. |d 1940- |e Sonstige |0 (DE-588)1074884523 |4 oth | |
700 | 1 | |a Schmidt, Eckart |e Sonstige |4 oth | |
856 | 4 | 0 | |u http://www.degruyter.com/doi/book/10.3138/9781442656444 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 4\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
912 | |a ZDB-23-DGG | ||
943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-028908697 | |
966 | e | |u http://www.degruyter.com/doi/book/10.3138/9781442656444 |l DE-859 |p ZDB-23-DGG |q FKE_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u http://www.degruyter.com/doi/book/10.3138/9781442656444 |l DE-860 |p ZDB-23-DGG |q FLA_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u http://www.degruyter.com/doi/book/10.3138/9781442656444 |l DE-739 |p ZDB-23-DGG |q UPA_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u http://www.degruyter.com/doi/book/10.3138/9781442656444 |l DE-1046 |p ZDB-23-DGG |q FAW_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u http://www.degruyter.com/doi/book/10.3138/9781442656444 |l DE-1043 |p ZDB-23-DGG |q FAB_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u http://www.degruyter.com/doi/book/10.3138/9781442656444 |l DE-858 |p ZDB-23-DGG |q FCO_PDA_DGG |x Verlag |3 Volltext |
Datensatz im Suchindex
_version_ | 1824408252972007424 |
---|---|
adam_text | |
any_adam_object | |
author | Bachmann, Friedrich 1909-1982 |
author_GND | (DE-588)117707481 (DE-588)1074884523 |
author_facet | Bachmann, Friedrich 1909-1982 |
author_role | aut |
author_sort | Bachmann, Friedrich 1909-1982 |
author_variant | f b fb |
building | Verbundindex |
bvnumber | BV043492176 |
collection | ZDB-23-DGG |
contents | This book, a translation of the German volume n-Ecke, presents an elegant geometric theory which, starting from quite elementary geometrical observations, exhibits an interesting connection between geometry and fundamental ideas of modern algebra in a form that is easily accessible to the student who lacks a sophisticated background in mathematics. It stimulates geometrical thought by applying the tools of linear algebra and the algebra of polynomials to a concrete geometrical situation to reveal some rather surprising insights into the geometry of n-gons. The twelve chapters treat n-gons, classes of n-gons, and mapping of the set of n-gons into itself. Exercises are included throughout, and two appendixes, by Henner Kinder and Eckart Schmidt, provide background material on lattices and cyclotomic polynomials.(Mathematical Expositions No. 18) |
ctrlnum | (ZDB-23-DGG)9781442656444 (OCoLC)1165497181 (DE-599)BVBBV043492176 |
dewey-full | 516/.22 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516/.22 |
dewey-search | 516/.22 |
dewey-sort | 3516 222 |
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>00000nam a2200000zc 4500</leader><controlfield tag="001">BV043492176</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20181211</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">160404s2016 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781442656444</subfield><subfield code="9">978-1-4426-5644-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.3138/9781442656444</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-23-DGG)9781442656444</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1165497181</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043492176</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-859</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-1046</subfield><subfield code="a">DE-1043</subfield><subfield code="a">DE-858</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516/.22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bachmann, Friedrich</subfield><subfield code="d">1909-1982</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)117707481</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">n-Gons</subfield><subfield code="c">Friedrich Bachmann, Eckart Schmidt</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Toronto</subfield><subfield code="b">University of Toronto Press</subfield><subfield code="c">[2016]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 1975</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource</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">Heritage</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher’s Web site, viewed Jan. 06, 2016)</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">This book, a translation of the German volume n-Ecke, presents an elegant geometric theory which, starting from quite elementary geometrical observations, exhibits an interesting connection between geometry and fundamental ideas of modern algebra in a form that is easily accessible to the student who lacks a sophisticated background in mathematics. It stimulates geometrical thought by applying the tools of linear algebra and the algebra of polynomials to a concrete geometrical situation to reveal some rather surprising insights into the geometry of n-gons. The twelve chapters treat n-gons, classes of n-gons, and mapping of the set of n-gons into itself. Exercises are included throughout, and two appendixes, by Henner Kinder and Eckart Schmidt, provide background material on lattices and cyclotomic polynomials.(Mathematical Expositions No. 18)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Polygons</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Set theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lineare Algebra</subfield><subfield code="0">(DE-588)4035811-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Struktur</subfield><subfield code="0">(DE-588)4001166-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Polygon</subfield><subfield code="0">(DE-588)4175197-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Polygon</subfield><subfield code="0">(DE-588)4175197-8</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">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Lineare Algebra</subfield><subfield code="0">(DE-588)4035811-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Algebraische Struktur</subfield><subfield code="0">(DE-588)4001166-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="8">4\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Garner, C. W. L.</subfield><subfield code="d">1940-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)1074884523</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Schmidt, Eckart</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.degruyter.com/doi/book/10.3138/9781442656444</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</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="883" ind1="1" ind2=" "><subfield code="8">2\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="883" ind1="1" ind2=" "><subfield code="8">3\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="883" ind1="1" ind2=" "><subfield code="8">4\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="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028908697</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.degruyter.com/doi/book/10.3138/9781442656444</subfield><subfield code="l">DE-859</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FKE_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.degruyter.com/doi/book/10.3138/9781442656444</subfield><subfield code="l">DE-860</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FLA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.degruyter.com/doi/book/10.3138/9781442656444</subfield><subfield code="l">DE-739</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">UPA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.degruyter.com/doi/book/10.3138/9781442656444</subfield><subfield code="l">DE-1046</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FAW_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.degruyter.com/doi/book/10.3138/9781442656444</subfield><subfield code="l">DE-1043</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FAB_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.degruyter.com/doi/book/10.3138/9781442656444</subfield><subfield code="l">DE-858</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FCO_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
id | DE-604.BV043492176 |
illustrated | Not Illustrated |
indexdate | 2025-02-18T15:08:13Z |
institution | BVB |
isbn | 9781442656444 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028908697 |
oclc_num | 1165497181 |
open_access_boolean | |
owner | DE-859 DE-860 DE-739 DE-1046 DE-1043 DE-858 |
owner_facet | DE-859 DE-860 DE-739 DE-1046 DE-1043 DE-858 |
physical | 1 online resource |
psigel | ZDB-23-DGG ZDB-23-DGG FKE_PDA_DGG ZDB-23-DGG FLA_PDA_DGG ZDB-23-DGG UPA_PDA_DGG ZDB-23-DGG FAW_PDA_DGG ZDB-23-DGG FAB_PDA_DGG ZDB-23-DGG FCO_PDA_DGG |
publishDate | 2016 |
publishDateSearch | 2016 |
publishDateSort | 2016 |
publisher | University of Toronto Press |
record_format | marc |
series2 | Heritage |
spelling | Bachmann, Friedrich 1909-1982 Verfasser (DE-588)117707481 aut n-Gons Friedrich Bachmann, Eckart Schmidt Toronto University of Toronto Press [2016] © 1975 1 online resource txt rdacontent c rdamedia cr rdacarrier Heritage Description based on online resource; title from PDF title page (publisher’s Web site, viewed Jan. 06, 2016) This book, a translation of the German volume n-Ecke, presents an elegant geometric theory which, starting from quite elementary geometrical observations, exhibits an interesting connection between geometry and fundamental ideas of modern algebra in a form that is easily accessible to the student who lacks a sophisticated background in mathematics. It stimulates geometrical thought by applying the tools of linear algebra and the algebra of polynomials to a concrete geometrical situation to reveal some rather surprising insights into the geometry of n-gons. The twelve chapters treat n-gons, classes of n-gons, and mapping of the set of n-gons into itself. Exercises are included throughout, and two appendixes, by Henner Kinder and Eckart Schmidt, provide background material on lattices and cyclotomic polynomials.(Mathematical Expositions No. 18) Polygons Set theory Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Algebraische Struktur (DE-588)4001166-5 gnd rswk-swf Polygon (DE-588)4175197-8 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Polygon (DE-588)4175197-8 s 1\p DE-604 Algebraische Geometrie (DE-588)4001161-6 s 2\p DE-604 Lineare Algebra (DE-588)4035811-2 s 3\p DE-604 Algebraische Struktur (DE-588)4001166-5 s 4\p DE-604 Garner, C. W. L. 1940- Sonstige (DE-588)1074884523 oth Schmidt, Eckart Sonstige oth http://www.degruyter.com/doi/book/10.3138/9781442656444 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Bachmann, Friedrich 1909-1982 n-Gons This book, a translation of the German volume n-Ecke, presents an elegant geometric theory which, starting from quite elementary geometrical observations, exhibits an interesting connection between geometry and fundamental ideas of modern algebra in a form that is easily accessible to the student who lacks a sophisticated background in mathematics. It stimulates geometrical thought by applying the tools of linear algebra and the algebra of polynomials to a concrete geometrical situation to reveal some rather surprising insights into the geometry of n-gons. The twelve chapters treat n-gons, classes of n-gons, and mapping of the set of n-gons into itself. Exercises are included throughout, and two appendixes, by Henner Kinder and Eckart Schmidt, provide background material on lattices and cyclotomic polynomials.(Mathematical Expositions No. 18) Polygons Set theory Lineare Algebra (DE-588)4035811-2 gnd Algebraische Struktur (DE-588)4001166-5 gnd Polygon (DE-588)4175197-8 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
subject_GND | (DE-588)4035811-2 (DE-588)4001166-5 (DE-588)4175197-8 (DE-588)4001161-6 |
title | n-Gons |
title_auth | n-Gons |
title_exact_search | n-Gons |
title_full | n-Gons Friedrich Bachmann, Eckart Schmidt |
title_fullStr | n-Gons Friedrich Bachmann, Eckart Schmidt |
title_full_unstemmed | n-Gons Friedrich Bachmann, Eckart Schmidt |
title_short | n-Gons |
title_sort | n gons |
topic | Polygons Set theory Lineare Algebra (DE-588)4035811-2 gnd Algebraische Struktur (DE-588)4001166-5 gnd Polygon (DE-588)4175197-8 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
topic_facet | Polygons Set theory Lineare Algebra Algebraische Struktur Polygon Algebraische Geometrie |
url | http://www.degruyter.com/doi/book/10.3138/9781442656444 |
work_keys_str_mv | AT bachmannfriedrich ngons AT garnercwl ngons AT schmidteckart ngons |