A history of Chinese mathematics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Santa Clara ; Singapore ; Tokyo
Springer
1996
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 409 - 461 |
| Physical Description: | XXIV, 485 S. Ill., 185 graph. Darst. |
| ISBN: | 3540547495 0387547495 |
Staff View
MARC
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| 245 | 1 | 0 | |a A history of Chinese mathematics |c Jean-Claude Martzloff. With a foreword by Jacques Gernet and Jean Dhombres. [Transl.: Stephen S. Wilson] |
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Record in the Search Index
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| adam_txt |
CONTENTS
FOREWORD
BY
J.
GERNET
.
VII
FOREWORD
BY
J.
DHOMBRES
.
IX
PREFACE
.
XV
ABBREVIATIONS
.
XXIII
PART
I.
THE
CONTEXT
OF
CHINESE
MATHEMATICS
1.
THE
HISTORIOGRAPHICAL
CONTEXT
.
3
WORKS
ON
THE
HISTORY
OF
CHINESE
MATHEMATICS
IN
WESTERN
LANGUAGES
3
WORKS
ON
THE
HISTORY
OF
CHINESE
MATHEMATICS
IN
JAPANESE
.
9
WORKS
ON
THE
HISTORY
OF
CHINESE
MATHEMATICS
IN
CHINESE
.
10
2.
THE
HISTORICAL
CONTEXT
.
13
3.
THE
NOTION
OF
CHINESE
MATHEMATICS
.
41
4.
APPLICATIONS
OF
CHINESE
MATHEMATICS
.
47
5.
THE
STRUCTURE
OF
MATHEMATICAL
WORKS
.
51
TITLES
.
52
PREFACES
.
52
PROBLEMS
.
54
RESOLUTORY
RULES
.
58
6.
MATHEMATICAL
TERMINOLOGY
.
61
7.
MODES
OF
REASONING
.
69
8.
CHINESE
MATHEMATICIANS
.
75
9.
THE
TRANSMISSION
OF
KNOWLEDGE
.
79
10.
INFLUENCES
AND
TRANSMISSION
.
89
POSSIBLE
CONTACTS
WITH
THE
SELEUCIDS
.
94
CONTACTS
WITH
INDIA
.
96
CONTACTS
WITH
ISLAMIC
COUNTRIES
.
101
TRANSMISSION
OF
CHINESE
MATHEMATICS
TO
KOREA
AND
JAPAN
.
105
CONTACTS
WITH
MONGOLIA
.
110
XX
CONTENTS
CONTACTS
WITH
TIBET
.
110
CONTACTS
WITH
VIETNAM
.
110
CONTACTS
WITH
EUROPE
.
ILL
11.
MAIN
WORKS
AND
MAIN
AUTHORS
(FROM
THE
ORIGINS
TO
1600)
.
123
THE
TEN
COMPUTATIONAL
CANONS
.
123
JIA
XIAN
AND
LIU
YI
.
142
LI
ZHI
.
143
QIN
JIUSHAO
.
149
ZHU
SHIJIE
.
152
YANG
HUI
.
157
CHENG
DAWEI
.
159
THE
SUANFA
TONGZONG
.
159
THE
SHULI
JINGYUN
.
163
THE
CHOUREN
ZHUAN
.
166
LI
SHANLAN
.
173
PART
II.
THE
CONTENT
OF
CHINESE
MATHEMATICS
12.
NUMBERS
AND
NUMERATION
.
179
KNOTTED
CORDS
(QUIPUS)
AND
TALLIES
.
179
CHINESE
NUMERATION
.
179
UNITS
OF
MEASUREMENT
.
191
FRACTIONS,
"
MODELS
"
LIL
.
192
DECIMAL
NUMBERS,
METROLOGICAL
AND
PURE
.
197
NEGATIVE
NUMBERS
AND
POSITIVE
NUMBERS
.
200
ZERO
.
204
13.
CALCULATING
INSTRUMENTS
.
209
THE
COUNTING
BOARD
.
209
COUNTING-RODS
.
210
THE
ABACUS
.
211
14.
TECHNIQUES
FOR
NUMERICAL
COMPUTATION
.
217
ELEMENTARY
OPERATIONS
.
217
THE
EXTRACTION
OF
ROOTS
.
221
SYSTEMS
OF
EQUATIONS
OF
THE
FIRST
DEGREE
IN
SEVERAL
UNKNOWNS
(FANGCHENG
METHOD)
.
249
13TH-CENTURY
CHINESE
ALGEBRA:
THE
TIANYUAN
SHU
.
258
15.
GEOMETRY
.
273
PLANIMETRY
.
277
STEREOMETRY
.
286
THE
RIGHT-ANGLED
TRIANGLE
.
293
SERIES
SUMMATION
.
302
CONTENTS
XXI
16.
INDETERMINATE
PROBLEMS
.
307
THE
HUNDRED
FOWLS
PROBLEM
.
308
THE
REMAINDER
PROBLEM
.
310
17.
APPROXIMATION
FORMULAE
.
325
GEOMETRICAL
FORMULAE
.
325
INTERPOLATION
FORMULAE
.
336
18.
LI
SHANLAN
'
S
SUMMATION
FORMULAE
.
341
19.
INFINITE
SERIES
.
353
20.
MAGIC
SQUARES
AND
PUZZLES
.
363
PUZZLES
.
366
APPENDIX
I.
CHINESE
ADAPTATIONS
OF
EUROPEAN
MATHEMATICAL
WORKS
(FROM
THE
17TH
TO
THE
BEGINNING
OF
THE
19TH
CENTURY)
.
371
APPENDIX
II.
THE
PRIMARY
SOURCES
.
391
INDEX
OF
MAIN
CHINESE
CHARACTERS
.
393
(ADMINISTRATIVE
TERMS,
CALENDARS,
GEOGRAPHICAL
TERMS,
MATHEMATICAL
TERMS,
NAMES
OF
PERSONS,
OTHER
TERMS,
TITLES
OF
BOOKS,
LONG
EXPRESSIONS)
REFERENCES
.
405
BIBLIOGRAPHICAL
ORIENTATIONS
.
405
BOOKS
AND
ARTICLES
IN
WESTERN
LANGUAGES
.
407
BOOKS
AND
ARTICLES
IN
CHINESE
OR
JAPANESE
.
433
INDEX
OF
NAMES
.
463
INDEX
OF
BOOKS
.
475
INDEX
OF
SUBJECTS
.
481 |
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| author | Martzloff, Jean-Claude 1943- |
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| discipline | Mathematik |
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| era | Geschichte gnd Geschichte 1100-1800 gnd |
| era_facet | Geschichte Geschichte 1100-1800 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T22:31:22Z |
| indexdate | 2024-07-09T21:23:37Z |
| institution | BVB |
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| spelling | Martzloff, Jean-Claude 1943- Verfasser (DE-588)1102141038 aut Histoire des mathématiques chinoises A history of Chinese mathematics Jean-Claude Martzloff. With a foreword by Jacques Gernet and Jean Dhombres. [Transl.: Stephen S. Wilson] Berlin ; Heidelberg ; New York ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Santa Clara ; Singapore ; Tokyo Springer 1996 XXIV, 485 S. Ill., 185 graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 409 - 461 Geschichte gnd rswk-swf Geschichte 1100-1800 gnd rswk-swf Geschichte Mathematik Mathematics -- China -- History Mathematik (DE-588)4037944-9 gnd rswk-swf Geschichte (DE-588)4020517-4 gnd rswk-swf China (DE-588)4009937-4 gnd rswk-swf China (DE-588)4009937-4 g Mathematik (DE-588)4037944-9 s Geschichte 1100-1800 z DE-604 Geschichte (DE-588)4020517-4 s 1\p DE-604 Geschichte z 2\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016833956&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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 |
| spellingShingle | Martzloff, Jean-Claude 1943- A history of Chinese mathematics Geschichte Mathematik Mathematics -- China -- History Mathematik (DE-588)4037944-9 gnd Geschichte (DE-588)4020517-4 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4020517-4 (DE-588)4009937-4 |
| title | A history of Chinese mathematics |
| title_alt | Histoire des mathématiques chinoises |
| title_auth | A history of Chinese mathematics |
| title_exact_search | A history of Chinese mathematics |
| title_exact_search_txtP | A history of Chinese mathematics |
| title_full | A history of Chinese mathematics Jean-Claude Martzloff. With a foreword by Jacques Gernet and Jean Dhombres. [Transl.: Stephen S. Wilson] |
| title_fullStr | A history of Chinese mathematics Jean-Claude Martzloff. With a foreword by Jacques Gernet and Jean Dhombres. [Transl.: Stephen S. Wilson] |
| title_full_unstemmed | A history of Chinese mathematics Jean-Claude Martzloff. With a foreword by Jacques Gernet and Jean Dhombres. [Transl.: Stephen S. Wilson] |
| title_short | A history of Chinese mathematics |
| title_sort | a history of chinese mathematics |
| topic | Geschichte Mathematik Mathematics -- China -- History Mathematik (DE-588)4037944-9 gnd Geschichte (DE-588)4020517-4 gnd |
| topic_facet | Geschichte Mathematik Mathematics -- China -- History China |
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