Chinese mathematics in the thirteenth century: the Shu-shu chiu-chang of Ch'in Chiu-shao
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge, [Massachusetts] ; London
MIT Press
[1973]
|
| Series: | MIT East Asian science series
1 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xxxi, 555 Seiten Illustrationen |
| ISBN: | 0262120437 |
Staff View
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Record in the Search Index
| _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 |
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| discipline | Mathematik |
| era | Geschichte 1200-1300 gnd |
| era_facet | Geschichte 1200-1300 |
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| id | DE-604.BV007198993 |
| illustrated | Illustrated |
| indexdate | 2025-02-26T15:02:55Z |
| institution | BVB |
| isbn | 0262120437 |
| language | English |
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| publisher | MIT Press |
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| 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 |
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