Subject: Mathematics--China--History

Astronomy and calendars -- the other Chinese mathematics : 104 BC-AD 1644. [Calendrier chinois. English]
AuthorMartzloff, Jean-Claude
PlaceBerlin
PublisherSpringer
CollectionRicci Institute Library
Edition
LanguageEnglish
TypeDigital Book (PDF)
Series
ShelfDigital Archives
Call NumberCE37.M37 2016
Descriptionpdf [xxxv, 471 p. : charts ; 25 cm]
Note

Astronomy and calendars -- the other Chinese mathematics : 104 BC-AD 1644 / Jean-Claude Martzloff.

Includes bibliographical references and indexes.
Updated and rewvised English version of Calendrier chinois.

LIST OF ILLUSTRATIONS; ACKNOWLEDGEMENTS; ABBREVIATIONS AND CONVENTIONS; FOREWORD; INITIAL FOREWORD;
Part I Chinese Astronomical Canons and Calendars; 1 PRELIMINARY OBSERVATIONS; The State of the Art; Methodological Orientations; Computistics and Predictive Astronomy; The Paradox of the Chinese Calendar; The Calendar and its Calculations; The Difficulty of Access to Astronomical Knowledge; The Surface and Deep Structures; Two Notions of Time; The Double History of the Calendar; Historical Sources (Surface Structure); Historical sources (Deep Structure).
Numbers The Key Ideas of Astronomical Canons; Political and Cultural Factors: An Example; The Reforms of Astronomical Canons; The Bureau of Astronomy; The Names of Astronomical Canons; 2 GENERAL DESCRIPTION OF THE CHINESE CALENDAR; Limitation and Scope; Fundamental Components; The Day; The Solar Year; The Twenty-Four Solar Breaths; The Seventy-Two Seasonal Indicators; The Five Phases; The Lunar Year; Lunar Months, Ordinary and Intercalary; The Structure of the Lunar Year; The Percentage of Full and Hollow Months; Local Patterns of Full and Hollow Months.
The Astronomical Months and the Lunisolar CouplingThe Beginning of the Lunar Year; Dynastic Eras and Concordance Tables; Cycles and Pseudo-Cycles; Definitions; The Denary Cycle; The Duodecimal Cycle; The Inverted Tree; The Sexagenary Cycle; Various Uses of the Sexagenary Cycle; The Nine Color Palaces; The Planetary Week; The Twenty-Eight Mansions; The Jianchu Pseudo-Cycle with Reduplications; The Nayin Cycle with Reduplications; Other Aspects; Festivals and Annual Observances; Irregular Years; Part II Calculations; 3 NUMBERS AND CALCULATION; Modes of Representation of Numbers; Various Zeroes.
The Zero-CircleThe History Zero Revisited; Numerical Constants; The Epoch; The Superior Epoch; The Support Year; The Emerging Year; Numbers of Years from the Epoch; Changes of Origin; Support Days; Binomial Representations; Fractional Representations; Mean and True Elements; Definitions; Historical Aspects; Notation and Terminology; Fundamental Elements; The Last Solar Breath of a Lunar Year; The Numbering of New Moons; The Lunisolar Shift; Introduction; The Epact; The intercalary remainder (Runyu); The Monthly Epact and the Intercalary Month; Consequences; Pathological Calendars.
4 MEAN ELEMENTSMean Elements in Practice; Metonic constants; Metonic Calculations; Justifications; Non-Metonic Canons; Calculation Variants; 5 TRUE ELEMENTS (618-1280); Introduction; True Solar Breaths; Some Peculiarities Leading to Simplifications; A Technical Term: The ruqi; A General Mode of Calculation of the ruqi; Another Mode of Calculation; The Calculation of the ruqi from Mean Solar Breaths; Another Technical Term: The ruli; The ruli; Tables and Interpolation Techniques; Solar Tables; Lunar Tables; The Solar Correction; Further Remarks On the Solar Correction; The Lunar Correction.
 
Presented from the viewpoint of the history of mathematics, this book explores both epistemological aspects of Chinese traditional mathematical astronomy and lunisolar calendrical calculations. The following issues are addressed: (1) connections with non-Chinese cultural areas; (2) the possibility or impossibility of using mathematics to predict astronomical phenomena, a question that was constantly raised by the Chinese from antiquity through medieval times; (3) the modes of representation of numbers, and in particular the zero, found in the context of Chinese calendrical calculations; and (4) a detailed analysis of lunisolar calendrical calculations. Fully worked-out examples and comparisons between the results of calculations and the content of Chinese historical calendars from various periods are provided. Traditional Chinese calendrical and mathematical astronomy consists of permanently reformed mathematical procedures designed to predict, but not explain, phenomena pertaining to astronomy and related areas. Yet, despite appearances, models of the mathematical techniques hidden behind this voluminous corpus reveal that they depend on a limited number of clear-cut mathematical structures. Although only a small fraction of these techniques have been fully studied, what is known surprisingly broadens our knowledge of the history of Chinese mathematics. Sinologists interested in the history of Chinese science, and anyone interested in the history of Chinese mathematics, the Chinese calendar, and the history of Chinese mathematical astronomy from its origin (104 BC) to its European reform (AD 1644) will find this book very useful. The present English language edition is a fully revised and updated version of the French original. Even though this is a research monograph in sinology, no particular sinological background is required, although a basic understanding of 'concrete mathematics' is needed. From the reviews of the French edition: This is a demanding, rigorous book to read ... worth the concentrated study it requires. The rewards are not only in the details but in the general overview that ... [it] provides. Joseph Dauben, EASTM, 2011 ... first Work in a Western language to turn to for anyone interested in the details of Chinese calendrical computations. Benno Van Dalen, ISIS, 2011 Martzloff's careful scholarship and his overall look at the calendar beyond astronomical calculations ..., make this book a most valuable contributions to a field of increasing interest. U. D'Ambrosio, Mathematical Reviews, 2013.
 
Local access dig.pdf. [Martzloff-Astronomy and Calendars.pdf]
 
ISBN9783662497180 ; 3662497182
Chourenzhuan sibian 疇人傳四編
AuthorRuan Yuan 阮元, 1764-1849Huang Zhongjun 黃鍾駿, 19th cent.
PlaceShanghai 上海
PublisherShangwu yinshuguan 商務印書館
CollectionRicci Institute Library
Edition初版
LanguageChinese 中文
TypeBook
Series
ShelfStacks
Call NumberQA28.C478 R816 1955
Description1, 16, 141 p. ; 19 cm.
NoteChourenzhuan sibian 疇人傳四編 / Huang Zhongjun bian 黃鍾駿編.

Chouren zhuan 疇人傳 (Biographies of astronomers, calendrists, and mathematicians)….”Ruan started this unusual enterprise as a voluntary contribution to the guoshi. The actual compilation, as with most of his works, was done by scholars working under his patronage and editorial direction. The first edition contained biographies and summaries of the works of 280 astronomers and mathematicians from ancient times to the 18th century, including 37 Europeans (in annex based on a work of Schall). The total biographies in all the editions and supplements comes to over 600 (of whom 52 were foreigners).
The editor’s main object was to provide a genealogy of Chinese computational astronomy as part of classical Confucian learning and as incorporating its offshoot, Western astronomy. The cosmology is Tychonic, not Copernican. One result of the collection was to further stimulate interest in ancient Chinese mathematics and the recovery of works long since neglected; another was to delay an objective reassessment of Chinese mathematics as measured against Greek, Arabic, and European approaches….(etc.)
Cf. Wilkinson, E., Chinese history, a new manual. p.476.

LCCNc59-1787
Chourenzhuan 疇人傳
AuthorRuan Yuan 阮元, 1764-1849Luo Shilin 羅士琳, 1774-1853Zhu Kebao 諸可寶, 1845-1903Hua Shifang 華世芳, 1854-1905
PlaceChangsha 長沙
PublisherShangwu yinshuguan 商務印書館
CollectionBibl. Sinensis Soc. Iesu
Edition簡編印行
LanguageChinese 中文
TypeBook
SeriesGuoxue jiben congshu 國學基本叢書, Wanyou wenku 萬有文庫 ; 第12集 ; 簡便500種, Wanyou wenku 萬有文庫 ; 第2集 ; 626種
ShelfStacks
Call NumberAC269.S416 1936 v. 2 ; 626
Description7 v. (864, 11 p.) ; 18 cm.
NoteChourenzhuan 疇人傳 / Ruan Yuan zhuan 阮元撰.
民國28 [1939].

Chouren zhuan 疇人傳 (Biographies of astronomers, calendrists, and mathematicians)….”Ruan started this unusual enterprise as a voluntary contribution to the guoshi. The actual compilation, as with most of his works, was done by scholars working under his patronage and editorial direction. The first edition contained biographies and summaries of the works of 280 astronomers and mathematicians from ancient times to the 18th century, including 37 Europeans (in annex based on a work of Schall). The total biographies in all the editions and supplements comes to over 600 (of whom 52 were foreigners).
The editor’s main object was to provide a genealogy of Chinese computational astronomy as part of classical Confucian learning and as incorporating its offshoot, Western astronomy. The cosmology is Tychonic, not Copernican. One result of the collection was to further stimulate interest in ancient Chinese mathematics and the recovery of works long since neglected; another was to delay an objective reassessment of Chinese mathematics as measured against Greek, Arabic, and European approaches….(etc.)
Cf. Wilkinson, E., Chinese history, a new manual. p.476.

Gu suanfa zhi xin yanjiu 古算法之新硏究
AuthorXu Chunfang 許蒓舫, fl. 1935-
PlaceShanghai 上海
PublisherZhonghua shuju 中華書局
CollectionBibl. Sinensis Soc. Iesu
Edition
LanguageChinese 中文
TypeBook
SeriesSuanxue congshu 算學叢書
ShelfStacks
Call NumberQA27.S816 X824 1935
Description2, 2, 4, 4, 206 p. : ill., tables ; 19 cm.
NoteGu suanfa zhi xin yanjiu 古算法之新硏究 / Xu Chunfang bian 許蒓舫編.
民國24 [1935].
Heavenly numbers : astronomy and authority in early imperial China
AuthorCullen, Christopher
PlaceOxford, New York
PublisherOxford University Press
CollectionRicci Institute Library
EditionFirst Edition
LanguageEnglish
TypeDigital Book (PDF)
Series
ShelfDigital Archives
Call NumberQB17.C853 2017
Descriptionpdf [xiv, 426 p. : ill. ; 25 cm]
Note

Heavenly numbers : astronomy and authority in early imperial China / Christopher Cullen (Needham Research Institute and Darwin College, Cambridge, CRCAO, Paris, Sometime scholar of University College, Oxford, and Research Fellow of Clare Hall, Cambridge).

Includes bibliographical references (pages 399-413) and index.

Introduction -- The astronomical empire -- Li in everyday life: dates and calendars -- The emperor's grand inception, and the defeat of the grand clerk -- The triple concordance system and Liu Xin's 'Grand unified theory' -- The measures and forms of heavens -- Restoration and re-creation in the Eastern Han -- The age of debates -- Li Hong and the conquest of the moon -- Epilogue.

"A history of the development of mathematical astronomy in China, from the late third century BCE, to the early 3rd century CE - a period often referred to as 'early imperial China'. It narrates the changes in ways of understanding the movements of the heavens and the heavenly bodies that took place during those four and a half centuries, and tells the stories of the institutions and individuals involved in those changes. It gives clear explanations of technical practice in observation, instrumentation, and calculation, and the steady accumulation of data over many years - but it centers on the activity of the individual human beings who observed the heavens, recorded what they saw, and made calculations to analyze and eventually make predictions about the motions of the celestial bodies"-- Provided by publisher

Local access dig.pdf [Cullen-Heavenly Numbers.pdf]

ISBN9780198733119
LCCN2017943729
Shuli jingyun dui shuzao biaofa yu Dai Xu di’er xiang zhankaishi yanjiu
AuthorHan Qi 韓琦
PlaceBeijing 北京
PublisherKexue chubanshe 科學出版社
CollectionRicci Institute Library
Edition
LanguageChinese 中文[簡體字]
TypeExtract
Series
ShelfTBD
Call NumberQA27.C5 H367 1992
Descriptionp. 109-119 : ill. ; 26 cm.
NoteHan Qi 韓琦.
Abstracts in Chinese and English.
Reprint from: Ziran kexueshi yanjiu 自然科學史硏究, 第11卷, 第2期(1992).
Includes bibliographical references.
Suanjing shishu 算經十書
AuthorQian Baocong 錢寶琮, 1892-1974
PlaceBeijing 北京
PublisherZhonghua shuju 中華書局
CollectionRicci Institute Library
Edition
LanguageChinese 中文
TypeBook
Series
ShelfTBD
Call NumberQA27.C5 S9 1963
Description2 v. (9, 6, 603 p.) : ill. ; 21 cm.
NoteQian Baocong jiaodian 錢寶琮校點.
上冊. Zhoubi suanjing 周髀算經. 上下卷 -- Jiuzhang suanshu 九章算術. 9卷 -- Haidao suanjing 海島算經 .
下冊. Sunzi suanjing 孫子算經. 上中下卷 -- Zhang Qiujian suanjing 張邱建算經. 上下卷 -- Wu Cao suanjing 五曹算經. 5卷 -- Wujing suanshu 五經算術. 上下卷 -- Ji gu suanjing 緝古算經 -- 附錄: Shushu jiyi 數術記遺 -- Xia Houyang suanjing 夏侯陽算經. 上下卷.
"The most influential of the ten mathematical manuals was the Han Jiuzhang suanshu 九章算術 (Nine Chapters on the Mathematical Arts). It contains 246 math problems likely to be encountered by government officials and clerks." Cf. Endymion Wilkinson, Chinese history, a manual, p. 670.
LCCNc64-1957
Xifang lisuanxue zhi shuru 西方曆算學之輸入
AuthorWang Ping 王萍, 1929 or 30-
PlaceTaibei Xian Nan'gang Zhen 臺北縣南港鎮
PublisherZhongyang yanjiuyuan jindaishi yanjiusuo 中央研究院近代史研究所
CollectionBibl. Sinensis Soc. Iesu
Edition修訂再版
LanguageChinese 中文
TypeBook
SeriesZhongyang yanjiuyuan jindaishi yanjiusuo zhuankan 中央研究院近代史研究所專刊 ; 17
ShelfReading Room
Call NumberCE37.W34 1980
Description3, 251 p. ; 22 cm.
NoteXifang lisuanxue zhi shuru 西方曆算學之輸入 / Wang Ping zhu 王萍著.
Added cover title: The introduction of Western astronomical and mathematical sciences into China.
Bibliography: p. 214-235. Includes indexes.
民國69 [1980].
Zhongguo gudai shuxue jianshi 中國古代數學簡史
AuthorDu Shiran 杜石然Li Yan 李儼, 1892-1963
PlaceHong Kong 香港
PublisherShangwu yinshuguan 商務印書館
CollectionBibl. Sinensis Soc. Iesu
Edition
LanguageChinese 中文
TypeBook
Series
ShelfStacks
Call NumberQA27.C5 L54 1976
Description4, 317 p. : ill. ; 19 cm.
NoteLi Yan, Du Shiran zhu 李儼, 杜石然著.
Zhongguo suanxueshi 中國算學史
AuthorLi Yan 李儼, 1892-1963
PlaceShanghai 上海
PublisherShangwu yinshuguan 商務印書館
CollectionBibl. Sinensis Soc. Iesu
Edition修訂重版
LanguageChinese 中文
TypeBook
Series
ShelfStacks
Call NumberQA27.C5 L5 1955
Description2, [2], 4, 278 p. : ill. ; 19 cm.
NoteLi Yan zhu 李儼著.
Revised reprint of 1937 ed.
Includes bibliographical references.