Chinese mathematics in the thirteenth century: the Shu-shu chiu-chang of Ch'in Chiu-shao
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, [Massachusetts] ; London
MIT Press
[1973]
|
| Schriftenreihe: | MIT East Asian science series
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xxxi, 555 Seiten Illustrationen |
| ISBN: | 0262120437 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV007198993 | ||
| 003 | DE-604 | ||
| 005 | 20240819 | ||
| 007 | t| | ||
| 008 | 930421s1973 xx a||| |||| 00||| eng d | ||
| 020 | |a 0262120437 |9 0-262-12043-7 | ||
| 035 | |a (OCoLC)303631 | ||
| 035 | |a (DE-599)BVBBV007198993 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-355 |a DE-824 |a DE-29 |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA27.C5 | |
| 082 | 0 | |a 510/.951 | |
| 084 | |a SG 515 |0 (DE-625)143052: |2 rvk | ||
| 084 | |a SG 600 |0 (DE-625)143070: |2 rvk | ||
| 084 | |a 01A25 |2 msc/1970 | ||
| 084 | |a 01A35 |2 msc/1970 | ||
| 100 | 1 | |a Libbrecht, Ulrich |d 1928-2017 |0 (DE-588)143363298 |4 aut | |
| 245 | 1 | 0 | |a Chinese mathematics in the thirteenth century |b the Shu-shu chiu-chang of Ch'in Chiu-shao |c Ulrich Libbrecht |
| 264 | 1 | |a Cambridge, [Massachusetts] ; London |b MIT Press |c [1973] | |
| 264 | 4 | |c © 1973 | |
| 300 | |a xxxi, 555 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a MIT East Asian science series |v 1 | |
| 600 | 1 | 4 | |a Ch'in Chiu-shao / Shu-shu chiu-chang |
| 600 | 1 | 4 | |a Chʻin, Chiu-Shao |
| 648 | 7 | |a Geschichte 1200-1300 |2 gnd |9 rswk-swf | |
| 650 | 4 | |a Algebra |v Early works to 1800 | |
| 650 | 4 | |a Mathematics, Chinese |v Early works to 1800 | |
| 650 | 4 | |a Mathematics, Medieval | |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 651 | 7 | |a China |0 (DE-588)4009937-4 |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a China |0 (DE-588)4009937-4 |D g |
| 689 | 0 | 1 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 0 | 2 | |a Geschichte 1200-1300 |A z |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a MIT East Asian science series |v 1 |w (DE-604)BV012524764 |9 1 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004606375&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q HUB-ZB011201006 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-004606375 | |
| 980 | 4 | |a (DE-12)AK13270238 | |
Datensatz im Suchindex
| _version_ | 1825132695432200192 |
|---|---|
| adam_text |
Contents
The M.I.T. East Asian Science Series ix
Foreword xi
Preface xvii
Acknowledgments xxi
Bibliographical Note xxv
Reference Table xxix
X Ch'in Chiu-shao and His Shu-shu chiu-chang 1
1 General Characteristics of Chinese
Mathematics in Sung and Yuan 2
2 Mathematicians and Mathematical Methods
in Sung and Yuan 13
3 Biography of Ch'in Chiu-shao 22
Appendix to Chapter 3: From Chou Mi's
Kuei-hsin tsa-chih, hsii-chi (Miscellaneous Notes from
Kuei-Hsin Street, in Hangchow, First Addendum) 31
4 The Shu-shu chiu-chang: History and
Investigation 35
5 General Structure of the Shu-shu chiu-chang 54
TT Mathematics in the Shu-shu chiu-chang:
•*¦¦*¦ Numerical Notation and Terminology 67
6 Notation and Terminology 68
AXX Elementary Mathematical Methods 81
7 Arithmetic 82
8 Geometry 96
9 "Trigonometry" 122
IV Algebra 151
10 Simultaneous Linear Equations 152
11 Determinants 163
12 Series and Progressions 172
13 Numerical Equations of Higher Degree 177
vii Contents
VThe Chinese Remainder Theorem: A
Monograph 213
14 Indeterminate Analysis of the First Degree
outside China: General Historical Survey 214
15 History of Indeterminate Analysis in China 267
16 Chinese Studies on the Ta-yen Rule in
the Nineteenth Century 294
Appendix to Chapter 16: Historical Outline of the
Investigation of the Chinese Ta-yen Rule in
Europe 310
17 Ch'in Chiu-shao's General Method 328
18 Ta-yen Rule and Kuttaka 359
19 Ch'in's Ta-yen Rule and Calendar Making 367
20 Ch'in's Ta-yen Rule and Modern
Mathematics 370
21 General Evaluation of Ch'in Chiu-shao's
Ta-yen Rule 376
22 Indeterminate Problems in the Shu-shu
chiu-chang 382
» -I- Socioeconomic Information 415
23 The Shu-shu chiu-chang and Life in Sung China 416
Glossary 475
Bibliography 495
Index 541 |
| any_adam_object | 1 |
| author | Libbrecht, Ulrich 1928-2017 |
| author_GND | (DE-588)143363298 |
| author_facet | Libbrecht, Ulrich 1928-2017 |
| author_role | aut |
| author_sort | Libbrecht, Ulrich 1928-2017 |
| author_variant | u l ul |
| building | Verbundindex |
| bvnumber | BV007198993 |
| callnumber-first | Q - Science |
| callnumber-label | QA27 |
| callnumber-raw | QA27.C5 |
| callnumber-search | QA27.C5 |
| callnumber-sort | QA 227 C5 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SG 515 SG 600 |
| ctrlnum | (OCoLC)303631 (DE-599)BVBBV007198993 |
| dewey-full | 510/.951 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.951 |
| dewey-search | 510/.951 |
| dewey-sort | 3510 3951 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| era | Geschichte 1200-1300 gnd |
| era_facet | Geschichte 1200-1300 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV007198993</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240819</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">930421s1973 xx a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0262120437</subfield><subfield code="9">0-262-12043-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)303631</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV007198993</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-12</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA27.C5</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510/.951</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SG 515</subfield><subfield code="0">(DE-625)143052:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SG 600</subfield><subfield code="0">(DE-625)143070:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">01A25</subfield><subfield code="2">msc/1970</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">01A35</subfield><subfield code="2">msc/1970</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Libbrecht, Ulrich</subfield><subfield code="d">1928-2017</subfield><subfield code="0">(DE-588)143363298</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Chinese mathematics in the thirteenth century</subfield><subfield code="b">the Shu-shu chiu-chang of Ch'in Chiu-shao</subfield><subfield code="c">Ulrich Libbrecht</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge, [Massachusetts] ; London</subfield><subfield code="b">MIT Press</subfield><subfield code="c">[1973]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 1973</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xxxi, 555 Seiten</subfield><subfield code="b">Illustrationen</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="490" ind1="1" ind2=" "><subfield code="a">MIT East Asian science series</subfield><subfield code="v">1</subfield></datafield><datafield tag="600" ind1="1" ind2="4"><subfield code="a">Ch'in Chiu-shao / Shu-shu chiu-chang</subfield></datafield><datafield tag="600" ind1="1" ind2="4"><subfield code="a">Chʻin, Chiu-Shao</subfield></datafield><datafield tag="648" ind1=" " ind2="7"><subfield code="a">Geschichte 1200-1300</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebra</subfield><subfield code="v">Early works to 1800</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics, Chinese</subfield><subfield code="v">Early works to 1800</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics, Medieval</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="651" ind1=" " ind2="7"><subfield code="a">China</subfield><subfield code="0">(DE-588)4009937-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">China</subfield><subfield code="0">(DE-588)4009937-4</subfield><subfield code="D">g</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Geschichte 1200-1300</subfield><subfield code="A">z</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">MIT East Asian science series</subfield><subfield code="v">1</subfield><subfield code="w">(DE-604)BV012524764</subfield><subfield code="9">1</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</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=004606375&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">HUB-ZB011201006</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-004606375</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK13270238</subfield></datafield></record></collection> |
| geographic | China (DE-588)4009937-4 gnd |
| geographic_facet | China |
| id | DE-604.BV007198993 |
| illustrated | Illustrated |
| indexdate | 2025-02-26T15:02:55Z |
| institution | BVB |
| isbn | 0262120437 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004606375 |
| oclc_num | 303631 |
| open_access_boolean | |
| owner | DE-12 DE-355 DE-BY-UBR DE-824 DE-29 DE-83 DE-11 DE-188 |
| owner_facet | DE-12 DE-355 DE-BY-UBR DE-824 DE-29 DE-83 DE-11 DE-188 |
| physical | xxxi, 555 Seiten Illustrationen |
| psigel | HUB-ZB011201006 |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | MIT Press |
| record_format | marc |
| series | MIT East Asian science series |
| series2 | MIT East Asian science series |
| spelling | Libbrecht, Ulrich 1928-2017 (DE-588)143363298 aut Chinese mathematics in the thirteenth century the Shu-shu chiu-chang of Ch'in Chiu-shao Ulrich Libbrecht Cambridge, [Massachusetts] ; London MIT Press [1973] © 1973 xxxi, 555 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier MIT East Asian science series 1 Ch'in Chiu-shao / Shu-shu chiu-chang Chʻin, Chiu-Shao Geschichte 1200-1300 gnd rswk-swf Algebra Early works to 1800 Mathematics, Chinese Early works to 1800 Mathematics, Medieval Mathematik (DE-588)4037944-9 gnd rswk-swf China (DE-588)4009937-4 gnd rswk-swf China (DE-588)4009937-4 g Mathematik (DE-588)4037944-9 s Geschichte 1200-1300 z DE-604 MIT East Asian science series 1 (DE-604)BV012524764 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004606375&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Libbrecht, Ulrich 1928-2017 Chinese mathematics in the thirteenth century the Shu-shu chiu-chang of Ch'in Chiu-shao MIT East Asian science series Ch'in Chiu-shao / Shu-shu chiu-chang Chʻin, Chiu-Shao Algebra Early works to 1800 Mathematics, Chinese Early works to 1800 Mathematics, Medieval Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4009937-4 |
| title | Chinese mathematics in the thirteenth century the Shu-shu chiu-chang of Ch'in Chiu-shao |
| title_auth | Chinese mathematics in the thirteenth century the Shu-shu chiu-chang of Ch'in Chiu-shao |
| title_exact_search | Chinese mathematics in the thirteenth century the Shu-shu chiu-chang of Ch'in Chiu-shao |
| title_full | Chinese mathematics in the thirteenth century the Shu-shu chiu-chang of Ch'in Chiu-shao Ulrich Libbrecht |
| title_fullStr | Chinese mathematics in the thirteenth century the Shu-shu chiu-chang of Ch'in Chiu-shao Ulrich Libbrecht |
| title_full_unstemmed | Chinese mathematics in the thirteenth century the Shu-shu chiu-chang of Ch'in Chiu-shao Ulrich Libbrecht |
| title_short | Chinese mathematics in the thirteenth century |
| title_sort | chinese mathematics in the thirteenth century the shu shu chiu chang of ch in chiu shao |
| title_sub | the Shu-shu chiu-chang of Ch'in Chiu-shao |
| topic | Ch'in Chiu-shao / Shu-shu chiu-chang Chʻin, Chiu-Shao Algebra Early works to 1800 Mathematics, Chinese Early works to 1800 Mathematics, Medieval Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Ch'in Chiu-shao / Shu-shu chiu-chang Chʻin, Chiu-Shao Algebra Early works to 1800 Mathematics, Chinese Early works to 1800 Mathematics, Medieval Mathematik China |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004606375&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV012524764 |
| work_keys_str_mv | AT libbrechtulrich chinesemathematicsinthethirteenthcenturytheshushuchiuchangofchinchiushao |