The Mathematics of the Heavens and the Earth: The Early History of Trigonometry
The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of H...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2021]
|
Schlagworte: | |
Online-Zugang: | FAW01 FCO01 FHA01 FKE01 FLA01 UPA01 Volltext |
Zusammenfassung: | The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics.The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth |
Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) |
Beschreibung: | 1 online resource (352 pages) 16 halftones. 109 line illus. 1 table |
ISBN: | 9781400833313 |
DOI: | 10.1515/9781400833313 |
Internformat
MARC
LEADER | 00000nmm a2200000zc 4500 | ||
---|---|---|---|
001 | BV047521159 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 211019s2021 |||| o||u| ||||||eng d | ||
020 | |a 9781400833313 |9 978-1-4008-3331-3 | ||
024 | 7 | |a 10.1515/9781400833313 |2 doi | |
035 | |a (ZDB-23-DGG)9781400833313 | ||
035 | |a (OCoLC)1284795622 | ||
035 | |a (DE-599)BVBBV047521159 | ||
040 | |a DE-604 |b ger |e rda | ||
041 | 0 | |a eng | |
049 | |a DE-1046 |a DE-858 |a DE-Aug4 |a DE-859 |a DE-860 |a DE-739 | ||
082 | 0 | |a 516.2409 |2 22 | |
100 | 1 | |a Van Brummelen, Glen |e Verfasser |4 aut | |
245 | 1 | 0 | |a The Mathematics of the Heavens and the Earth |b The Early History of Trigonometry |c Glen Van Brummelen |
264 | 1 | |a Princeton, NJ |b Princeton University Press |c [2021] | |
264 | 4 | |c © 2009 | |
300 | |a 1 online resource (352 pages) |b 16 halftones. 109 line illus. 1 table | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
500 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | ||
520 | |a The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics.The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth | ||
546 | |a In English | ||
650 | 7 | |a MATHEMATICS / Trigonometry |2 bisacsh | |
650 | 4 | |a Trigonometry |x History | |
856 | 4 | 0 | |u https://doi.org/10.1515/9781400833313 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
912 | |a ZDB-23-DGG | ||
999 | |a oai:aleph.bib-bvb.de:BVB01-032921886 | ||
966 | e | |u https://doi.org/10.1515/9781400833313?locatt=mode:legacy |l FAW01 |p ZDB-23-DGG |q FAW_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9781400833313?locatt=mode:legacy |l FCO01 |p ZDB-23-DGG |q FCO_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9781400833313?locatt=mode:legacy |l FHA01 |p ZDB-23-DGG |q FHA_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9781400833313?locatt=mode:legacy |l FKE01 |p ZDB-23-DGG |q FKE_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9781400833313?locatt=mode:legacy |l FLA01 |p ZDB-23-DGG |q FLA_PDA_DGG |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1515/9781400833313?locatt=mode:legacy |l UPA01 |p ZDB-23-DGG |q UPA_PDA_DGG |x Verlag |3 Volltext |
Datensatz im Suchindex
_version_ | 1804182861574569984 |
---|---|
adam_txt | |
any_adam_object | |
any_adam_object_boolean | |
author | Van Brummelen, Glen |
author_facet | Van Brummelen, Glen |
author_role | aut |
author_sort | Van Brummelen, Glen |
author_variant | b g v bg bgv |
building | Verbundindex |
bvnumber | BV047521159 |
collection | ZDB-23-DGG |
ctrlnum | (ZDB-23-DGG)9781400833313 (OCoLC)1284795622 (DE-599)BVBBV047521159 |
dewey-full | 516.2409 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516.2409 |
dewey-search | 516.2409 |
dewey-sort | 3516.2409 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
discipline_str_mv | Mathematik |
doi_str_mv | 10.1515/9781400833313 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03648nmm a2200457zc 4500</leader><controlfield tag="001">BV047521159</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">211019s2021 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400833313</subfield><subfield code="9">978-1-4008-3331-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400833313</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-23-DGG)9781400833313</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1284795622</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV047521159</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-858</subfield><subfield code="a">DE-Aug4</subfield><subfield code="a">DE-859</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-739</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.2409</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Van Brummelen, Glen</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Mathematics of the Heavens and the Earth</subfield><subfield code="b">The Early History of Trigonometry</subfield><subfield code="c">Glen Van Brummelen</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">[2021]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (352 pages)</subfield><subfield code="b">16 halftones. 109 line illus. 1 table</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="500" ind1=" " ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics.The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Trigonometry</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Trigonometry</subfield><subfield code="x">History</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400833313</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-032921886</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400833313?locatt=mode:legacy</subfield><subfield code="l">FAW01</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://doi.org/10.1515/9781400833313?locatt=mode:legacy</subfield><subfield code="l">FCO01</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><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400833313?locatt=mode:legacy</subfield><subfield code="l">FHA01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FHA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400833313?locatt=mode:legacy</subfield><subfield code="l">FKE01</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://doi.org/10.1515/9781400833313?locatt=mode:legacy</subfield><subfield code="l">FLA01</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://doi.org/10.1515/9781400833313?locatt=mode:legacy</subfield><subfield code="l">UPA01</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></record></collection> |
id | DE-604.BV047521159 |
illustrated | Illustrated |
index_date | 2024-07-03T18:23:37Z |
indexdate | 2024-07-10T09:14:17Z |
institution | BVB |
isbn | 9781400833313 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032921886 |
oclc_num | 1284795622 |
open_access_boolean | |
owner | DE-1046 DE-858 DE-Aug4 DE-859 DE-860 DE-739 |
owner_facet | DE-1046 DE-858 DE-Aug4 DE-859 DE-860 DE-739 |
physical | 1 online resource (352 pages) 16 halftones. 109 line illus. 1 table |
psigel | ZDB-23-DGG ZDB-23-DGG FAW_PDA_DGG ZDB-23-DGG FCO_PDA_DGG ZDB-23-DGG FHA_PDA_DGG ZDB-23-DGG FKE_PDA_DGG ZDB-23-DGG FLA_PDA_DGG ZDB-23-DGG UPA_PDA_DGG |
publishDate | 2021 |
publishDateSearch | 2021 |
publishDateSort | 2021 |
publisher | Princeton University Press |
record_format | marc |
spelling | Van Brummelen, Glen Verfasser aut The Mathematics of the Heavens and the Earth The Early History of Trigonometry Glen Van Brummelen Princeton, NJ Princeton University Press [2021] © 2009 1 online resource (352 pages) 16 halftones. 109 line illus. 1 table txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics.The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth In English MATHEMATICS / Trigonometry bisacsh Trigonometry History https://doi.org/10.1515/9781400833313 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Van Brummelen, Glen The Mathematics of the Heavens and the Earth The Early History of Trigonometry MATHEMATICS / Trigonometry bisacsh Trigonometry History |
title | The Mathematics of the Heavens and the Earth The Early History of Trigonometry |
title_auth | The Mathematics of the Heavens and the Earth The Early History of Trigonometry |
title_exact_search | The Mathematics of the Heavens and the Earth The Early History of Trigonometry |
title_exact_search_txtP | The Mathematics of the Heavens and the Earth The Early History of Trigonometry |
title_full | The Mathematics of the Heavens and the Earth The Early History of Trigonometry Glen Van Brummelen |
title_fullStr | The Mathematics of the Heavens and the Earth The Early History of Trigonometry Glen Van Brummelen |
title_full_unstemmed | The Mathematics of the Heavens and the Earth The Early History of Trigonometry Glen Van Brummelen |
title_short | The Mathematics of the Heavens and the Earth |
title_sort | the mathematics of the heavens and the earth the early history of trigonometry |
title_sub | The Early History of Trigonometry |
topic | MATHEMATICS / Trigonometry bisacsh Trigonometry History |
topic_facet | MATHEMATICS / Trigonometry Trigonometry History |
url | https://doi.org/10.1515/9781400833313 |
work_keys_str_mv | AT vanbrummelenglen themathematicsoftheheavensandtheearththeearlyhistoryoftrigonometry |