Geometry of Complex Numbers:
The elements of abstract algebra have almost everywhere found a place in the undergraduate courses of universities, but this has happened to some extent at the expense of courses on geometry. Therefore a book which applies some notions of algebra to geometry, showing in a deliberately restricted dom...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Toronto
University of Toronto Press
[2020]
|
Schriftenreihe: | Heritage
|
Schlagworte: | |
Online-Zugang: | DE-1046 DE-859 DE-860 DE-739 DE-1043 DE-858 Volltext |
Zusammenfassung: | The elements of abstract algebra have almost everywhere found a place in the undergraduate courses of universities, but this has happened to some extent at the expense of courses on geometry. Therefore a book which applies some notions of algebra to geometry, showing in a deliberately restricted domain their interrelation with geometrical ideas, is a useful counterbalance in the present trend to generalization and abstraction. This book should be of great value to students of mathematics in their second or third year at the university and be used by them concurrently with an introductory course on functions of a complex variable. It should give them a basis for the geometrical aspects of this theory and simultaneously help them to extend their understanding of the connections between some classical branches of geometry. It will also be useful to anyone, from pure mathematician to electrical engineer, who wishes to deepen his knowledge of the complex number system |
Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 24. Apr 2020) |
Beschreibung: | 1 online resource (200 pages) |
ISBN: | 9781487583279 |
Internformat
MARC
LEADER | 00000nam a2200000zc 4500 | ||
---|---|---|---|
001 | BV046713350 | ||
003 | DE-604 | ||
007 | cr|uuu---uuuuu | ||
008 | 200511s2020 xx o|||| 00||| eng d | ||
020 | |a 9781487583279 |9 978-1-4875-8327-9 | ||
024 | 7 | |a 10.3138/9781487583279 |2 doi | |
035 | |a (ZDB-23-DGG)9781487583279 | ||
035 | |a (OCoLC)1164640639 | ||
035 | |a (DE-599)BVBBV046713350 | ||
040 | |a DE-604 |b ger |e rda | ||
041 | 0 | |a eng | |
049 | |a DE-1046 |a DE-859 |a DE-860 |a DE-739 |a DE-1043 |a DE-858 | ||
082 | 0 | |a 516.35 |2 22 | |
100 | 1 | |a Schwerdtfeger, Hans |e Verfasser |4 aut | |
245 | 1 | 0 | |a Geometry of Complex Numbers |c Hans Schwerdtfeger |
264 | 1 | |a Toronto |b University of Toronto Press |c [2020] | |
264 | 4 | |c © 1962 | |
300 | |a 1 online resource (200 pages) | ||
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 24. Apr 2020) | ||
520 | |a The elements of abstract algebra have almost everywhere found a place in the undergraduate courses of universities, but this has happened to some extent at the expense of courses on geometry. Therefore a book which applies some notions of algebra to geometry, showing in a deliberately restricted domain their interrelation with geometrical ideas, is a useful counterbalance in the present trend to generalization and abstraction. This book should be of great value to students of mathematics in their second or third year at the university and be used by them concurrently with an introductory course on functions of a complex variable. It should give them a basis for the geometrical aspects of this theory and simultaneously help them to extend their understanding of the connections between some classical branches of geometry. It will also be useful to anyone, from pure mathematician to electrical engineer, who wishes to deepen his knowledge of the complex number system | ||
546 | |a In English | ||
650 | 7 | |a MATHEMATICS / Geometry / Algebraic |2 bisacsh | |
650 | 4 | |a Functional analysis | |
650 | 4 | |a Functions of complex variables | |
650 | 4 | |a Geometry, Algebraic | |
650 | 0 | 7 | |a Komplexe Zahl |0 (DE-588)4128698-4 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Funktionentheorie |0 (DE-588)4018935-1 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Geometrie |0 (DE-588)4020236-7 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Nichteuklidische Geometrie |0 (DE-588)4042073-5 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Geometrie |0 (DE-588)4020236-7 |D s |
689 | 0 | 1 | |a Komplexe Zahl |0 (DE-588)4128698-4 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
689 | 1 | 0 | |a Nichteuklidische Geometrie |0 (DE-588)4042073-5 |D s |
689 | 1 | |8 2\p |5 DE-604 | |
689 | 2 | 0 | |a Funktionentheorie |0 (DE-588)4018935-1 |D s |
689 | 2 | |8 3\p |5 DE-604 | |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781487583279 |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 | |
912 | |a ZDB-23-DGG | ||
943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-032123720 | |
966 | e | |u https://www.degruyter.com/isbn/9781487583279 |l DE-1046 |p ZDB-23-DGG |q FAW_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://www.degruyter.com/isbn/9781487583279 |l DE-859 |p ZDB-23-DGG |q FKE_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://www.degruyter.com/isbn/9781487583279 |l DE-860 |p ZDB-23-DGG |q FLA_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://www.degruyter.com/isbn/9781487583279 |l DE-739 |p ZDB-23-DGG |q UPA_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://www.degruyter.com/isbn/9781487583279 |l DE-1043 |p ZDB-23-DGG |q FAB_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://www.degruyter.com/isbn/9781487583279 |l DE-858 |p ZDB-23-DGG |q FCO_PDA_DGG |x Verlag |3 Volltext |
Datensatz im Suchindex
_version_ | 1824507660058230784 |
---|---|
adam_text | |
adam_txt | |
any_adam_object | |
any_adam_object_boolean | |
author | Schwerdtfeger, Hans |
author_facet | Schwerdtfeger, Hans |
author_role | aut |
author_sort | Schwerdtfeger, Hans |
author_variant | h s hs |
building | Verbundindex |
bvnumber | BV046713350 |
collection | ZDB-23-DGG |
ctrlnum | (ZDB-23-DGG)9781487583279 (OCoLC)1164640639 (DE-599)BVBBV046713350 |
dewey-full | 516.35 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516.35 |
dewey-search | 516.35 |
dewey-sort | 3516.35 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
discipline_str_mv | 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">BV046713350</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">200511s2020 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781487583279</subfield><subfield code="9">978-1-4875-8327-9</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.3138/9781487583279</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-23-DGG)9781487583279</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1164640639</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV046713350</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-1046</subfield><subfield code="a">DE-859</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-1043</subfield><subfield code="a">DE-858</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.35</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schwerdtfeger, Hans</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Geometry of Complex Numbers</subfield><subfield code="c">Hans Schwerdtfeger</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Toronto</subfield><subfield code="b">University of Toronto Press</subfield><subfield code="c">[2020]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 1962</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (200 pages)</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 24. Apr 2020)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The elements of abstract algebra have almost everywhere found a place in the undergraduate courses of universities, but this has happened to some extent at the expense of courses on geometry. Therefore a book which applies some notions of algebra to geometry, showing in a deliberately restricted domain their interrelation with geometrical ideas, is a useful counterbalance in the present trend to generalization and abstraction. This book should be of great value to students of mathematics in their second or third year at the university and be used by them concurrently with an introductory course on functions of a complex variable. It should give them a basis for the geometrical aspects of this theory and simultaneously help them to extend their understanding of the connections between some classical branches of geometry. It will also be useful to anyone, from pure mathematician to electrical engineer, who wishes to deepen his knowledge of the complex number system</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Geometry / Algebraic</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functions of complex variables</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Algebraic</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Komplexe Zahl</subfield><subfield code="0">(DE-588)4128698-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionentheorie</subfield><subfield code="0">(DE-588)4018935-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Geometrie</subfield><subfield code="0">(DE-588)4020236-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichteuklidische Geometrie</subfield><subfield code="0">(DE-588)4042073-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Geometrie</subfield><subfield code="0">(DE-588)4020236-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Komplexe Zahl</subfield><subfield code="0">(DE-588)4128698-4</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">Nichteuklidische Geometrie</subfield><subfield code="0">(DE-588)4042073-5</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">Funktionentheorie</subfield><subfield code="0">(DE-588)4018935-1</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="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9781487583279</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="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:BVB01-032123720</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://www.degruyter.com/isbn/9781487583279</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">https://www.degruyter.com/isbn/9781487583279</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">https://www.degruyter.com/isbn/9781487583279</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">https://www.degruyter.com/isbn/9781487583279</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">https://www.degruyter.com/isbn/9781487583279</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">https://www.degruyter.com/isbn/9781487583279</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.BV046713350 |
illustrated | Not Illustrated |
index_date | 2024-07-03T14:31:27Z |
indexdate | 2025-02-19T17:28:15Z |
institution | BVB |
isbn | 9781487583279 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032123720 |
oclc_num | 1164640639 |
open_access_boolean | |
owner | DE-1046 DE-859 DE-860 DE-739 DE-1043 DE-858 |
owner_facet | DE-1046 DE-859 DE-860 DE-739 DE-1043 DE-858 |
physical | 1 online resource (200 pages) |
psigel | ZDB-23-DGG ZDB-23-DGG FAW_PDA_DGG ZDB-23-DGG FKE_PDA_DGG ZDB-23-DGG FLA_PDA_DGG ZDB-23-DGG UPA_PDA_DGG ZDB-23-DGG FAB_PDA_DGG ZDB-23-DGG FCO_PDA_DGG |
publishDate | 2020 |
publishDateSearch | 2020 |
publishDateSort | 2020 |
publisher | University of Toronto Press |
record_format | marc |
series2 | Heritage |
spelling | Schwerdtfeger, Hans Verfasser aut Geometry of Complex Numbers Hans Schwerdtfeger Toronto University of Toronto Press [2020] © 1962 1 online resource (200 pages) txt rdacontent c rdamedia cr rdacarrier Heritage Description based on online resource; title from PDF title page (publisher's Web site, viewed 24. Apr 2020) The elements of abstract algebra have almost everywhere found a place in the undergraduate courses of universities, but this has happened to some extent at the expense of courses on geometry. Therefore a book which applies some notions of algebra to geometry, showing in a deliberately restricted domain their interrelation with geometrical ideas, is a useful counterbalance in the present trend to generalization and abstraction. This book should be of great value to students of mathematics in their second or third year at the university and be used by them concurrently with an introductory course on functions of a complex variable. It should give them a basis for the geometrical aspects of this theory and simultaneously help them to extend their understanding of the connections between some classical branches of geometry. It will also be useful to anyone, from pure mathematician to electrical engineer, who wishes to deepen his knowledge of the complex number system In English MATHEMATICS / Geometry / Algebraic bisacsh Functional analysis Functions of complex variables Geometry, Algebraic Komplexe Zahl (DE-588)4128698-4 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Nichteuklidische Geometrie (DE-588)4042073-5 gnd rswk-swf Geometrie (DE-588)4020236-7 s Komplexe Zahl (DE-588)4128698-4 s 1\p DE-604 Nichteuklidische Geometrie (DE-588)4042073-5 s 2\p DE-604 Funktionentheorie (DE-588)4018935-1 s 3\p DE-604 https://www.degruyter.com/isbn/9781487583279 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 |
spellingShingle | Schwerdtfeger, Hans Geometry of Complex Numbers MATHEMATICS / Geometry / Algebraic bisacsh Functional analysis Functions of complex variables Geometry, Algebraic Komplexe Zahl (DE-588)4128698-4 gnd Funktionentheorie (DE-588)4018935-1 gnd Geometrie (DE-588)4020236-7 gnd Nichteuklidische Geometrie (DE-588)4042073-5 gnd |
subject_GND | (DE-588)4128698-4 (DE-588)4018935-1 (DE-588)4020236-7 (DE-588)4042073-5 |
title | Geometry of Complex Numbers |
title_auth | Geometry of Complex Numbers |
title_exact_search | Geometry of Complex Numbers |
title_exact_search_txtP | Geometry of Complex Numbers |
title_full | Geometry of Complex Numbers Hans Schwerdtfeger |
title_fullStr | Geometry of Complex Numbers Hans Schwerdtfeger |
title_full_unstemmed | Geometry of Complex Numbers Hans Schwerdtfeger |
title_short | Geometry of Complex Numbers |
title_sort | geometry of complex numbers |
topic | MATHEMATICS / Geometry / Algebraic bisacsh Functional analysis Functions of complex variables Geometry, Algebraic Komplexe Zahl (DE-588)4128698-4 gnd Funktionentheorie (DE-588)4018935-1 gnd Geometrie (DE-588)4020236-7 gnd Nichteuklidische Geometrie (DE-588)4042073-5 gnd |
topic_facet | MATHEMATICS / Geometry / Algebraic Functional analysis Functions of complex variables Geometry, Algebraic Komplexe Zahl Funktionentheorie Geometrie Nichteuklidische Geometrie |
url | https://www.degruyter.com/isbn/9781487583279 |
work_keys_str_mv | AT schwerdtfegerhans geometryofcomplexnumbers |