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E-raamat: Emperor's New Mathematics: Western Learning and Imperial Authority During the Kangxi Reign (1662-1722)

(Director of Research, Centre national de la recherche scientifique (CNRS), France)
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  • Ilmumisaeg: 01-Dec-2011
  • Kirjastus: Oxford University Press
  • Keel: eng
  • ISBN-13: 9780191627910
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  • Formaat: PDF+DRM
  • Ilmumisaeg: 01-Dec-2011
  • Kirjastus: Oxford University Press
  • Keel: eng
  • ISBN-13: 9780191627910

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In 1644 the Qing dynasty seized power in China. Its Manchu elite were at first seen by most of their subjects as foreigners from beyond the Great Wall, and the consolidation of Qing rule presented significant cultural and political problems, as well as military challenges. It was the Kangxi emperor (r. 1662-1722) who set the dynasty on a firm footing, and one of his main stratagems to achieve this was the appropriation for imperial purposes of the scientific knowledge brought to China by the Jesuit mission (1582-1773).

For almost two centuries, the Jesuits put the sciences in the service of evangelization, teaching and practising what came to be known as 'Western learning' among Chinese scholars, many of whom took an active interest in it. After coming to the throne as a teenager, Kangxi began his life-long intervention in mathematical and scientific matters when he forced a return to the use of Western methods in official astronomy. In middle life, he studied astronomy, musical theory and mathematics, with Jesuits as his teachers. In his last years he sponsored a great compilation covering these three disciplines, and set several of his sons to work on this project. All of this activity formed a vital part of his plan to establish Manchu authority over the Chinese. This book explains why Kangxi made the sciences a tool for laying the foundations of empire, and to show how, as part of this process, mathematics was reconstructed as a branch of imperial learning.

Arvustused

Jami has produced a work of scholarly haute couture that is probably an almost definitive account of this first phase of the circulation of Western learning in China ... Jami has done an exemplary job in making the book optimally accessible to a wide readership, and the amount of mathematical background needed to appreciate the arguments is kept to a minimum. * Peter Engelfriet, Journal of Asian Studies * Jami's work ... is a fascinating study of how, in late seventeenth century China, a decision by the Emperor helped to return mathematics to an important place in Chinese society. * Canadian Society for History and Philosophy of Mathematics * The Emperor's New Mathematics provides an incredible contribution to the studies of Qing history and history of sciences in late imperial China. * Mathematical Association of America *

Introduction 1(12)
Part I Western learning and the Ming-Qing transition
Chapter 1 The Jesuits and mathematics in China, 1582-1644
13(22)
1.1 Mathematics and literati culture in China c. 1600
14(8)
1.2 Mathematics in the Society of Jesus
22(2)
1.3 Teaching and translating
24(7)
1.4 Jesuit science, `practical learning' and astronomical reform
31(4)
Chapter 2 Western learning under the new dynasty (1644-1666)
35(22)
2.1 Dynastic transition in Beijing: a new calendar for new rulers
36(2)
2.2 Adam Schall, imperial astronomer
38(3)
2.3 Jiangnan scholars and the Jesuits
41(3)
2.4 Number and magnitude expanded: a scholar's mathematics
44(5)
2.5 Schall's defeat: the 1664 impeachment
49(8)
Part II The first two decades of Kangxi's rule
Chapter 3 The emperor and his astronomer (1668-1688)
57(25)
3.1 Kangxi's takeover and the rehabilitation of Jesuit astronomy
57(8)
3.2 Ferdinand Verbiest, imperial astronomer and tutor
65(8)
3.3 Kangxi, student of Chinese and Western learning
73(5)
3.4 Philosophy, `fathoming the principles' and orthodoxy
78(4)
Chapter 4 A mathematical scholar in Jiangnan: the first half-life of Mei Wending
82(20)
4.1 Mei Wending's early career
83(3)
4.2 Integrating Chinese and Western mathematics
86(4)
4.3 The Discussion of rectangular arrays: restoring one of the `nine reckonings'
90(3)
4.4 Writing mathematics: purpose, structure and style of the Discussion of rectangular arrays
93(9)
Chapter 5 The `King's Mathematicians': a French Jesuit mission in China
102(18)
5.1 Setting up a scientific expedition to China
102(6)
5.2 From Brest to Beijing
108(4)
5.3 In the capital
112(4)
5.4 Travels and observations in China
116(4)
Chapter 6 Inspecting the southern sky: Kangxi at the Nanjing observatory
120(19)
6.1 The Imperial Diary
121(6)
6.2 Li Guangdi's recollection
127(4)
6.3 The Jesuits' role
131(2)
6.4 Imperial investigation of the Old Man Star
133(6)
Part III Mathematics for the emperor
Chapter 7 Teaching `French science' at the court: Gerbillon and Bouvet's tutoring
139(21)
7.1 Chronology of the lessons
141(3)
7.2 The Academie, the Moderns and the way to God
144(4)
7.3 A typical lesson: 10 April 1690
148(3)
7.4 The imperial workshop and instruments
151(5)
7.5 Chinese, Manchu and the control of Western science
156(4)
Chapter 8 The imperial road to geometry: new Elements of geometry
160(20)
8.1 Changing the textbook
160(2)
8.2 Pardies' Elemens de geometrie: the pedagogy of geometry in seventeenth-century France
162(4)
8.3 The double translation
166(3)
8.4 Diamonds and pearls: ratios in the new Elements
169(4)
8.5 Practical geometry
173(3)
8.6 The emperor's role in the composition of the new Elements
176(4)
Chapter 9 Calculation for the emperor: the writings of a discreet mathematician
180(34)
9.1 Antoine Thomas (1644-1709) and his Synopsis mathematica
180(4)
9.2 The Outline of the essentials of calculation
184(7)
9.3 Practical geometry and tables
191(4)
9.4 The foundations of calculation: back to Euclid
195(5)
9.5 Cossic algebra: the Calculation by borrowed root and powers and its summary
200(10)
9.6 Symbolic linear algebra: a treatise within the treatise
210(4)
Chapter 10 Astronomy in the capital (1689-1693): scholars, officials and ruler
214(25)
10.1 Mei Wending in Beijing
214(4)
10.2 A patron's commission: the Doubts concerning the study of astronomy
218(4)
10.3 Three solar eclipses
222(7)
10.4 An imperial pronouncement on mathematics and classical scholarship
229(4)
10.5 The officials' responses
233(6)
Part IV Turning to Chinese scholars and Bannermen
Chapter 11 The 1700s: reversal of alliance?
239(21)
11.1 Locating the Beijing Jesuits c. 1700
240(5)
11.2 The mathematical sciences in history
245(8)
11.3 From favour to distrust: the papal legation
253(2)
11.4 The Jesuits as imperial cartographers
255(2)
11.5 Assessing mathematical talent: Chen Houyao's interview
257(3)
Chapter 12 The Office of Mathematics: foundation and staff
260(24)
12.1 The Summer solstice of 1711
260(2)
12.2 Selecting talented men
262(3)
12.3 The mathematical staff at the emperor's sixtieth birthday
265(2)
12.4 An editorial project in the mathematical sciences
267(6)
12.5 The imperial princes
273(4)
12.6 Mathematicians, astronomy and cartography
277(3)
12.7 The mathematical sciences in examinations
280(4)
Chapter 13 The Jesuits and innovation in imperial science: Jean-Francois Foucquet's treatises
284(31)
13.1 Foucquet in Beijing: from the Book of Change to astronomy
284(3)
13.2 The Dialogue on astronomical methods: a reform proposal?
287(7)
13.3 Foucquet's writings on mathematics
294(6)
13.4 Symbols in the New method of algebra
300(5)
13.5 The Jesuits and the Office of Mathematics
305(4)
13.6 Tables and the standardisation of mathematical sciences
309(6)
Part V Mathematics for the Empire
Chapter 14 The construction of the Essence of numbers and their principles
315(25)
14.1 Outline
315(5)
14.2 Sources
320(3)
14.3 The historical narrative of mathematics
323(4)
14.4 The structure of imperial mathematics
327(3)
14.5 Rephrasing the Jesuits' textbooks
330(3)
14.6 Vocabulary and classification
333(7)
Chapter 15 Methods and material culture in the Essence of numbers and their principles
340(24)
15.1 Problems and their genealogy: Master Sun and Hieron
341(4)
15.2 Inkstones and brushes
345(3)
15.3 Weighing up the difficulty of problems
348(4)
15.4 Algebra and the problems of the `Line Section'
352(2)
15.5 The remainder problem
354(2)
15.6 The construction and use of instruments
356(2)
15.7 Time-keeping
358(6)
Chapter 16 A new mathematical classic?
364(21)
16.1 Yongzheng's preface
364(4)
16.2 Harmonics and astronomy
368(5)
16.3 The contributors
373(5)
16.4 Supplements to the Origins of pitchpipes and the calendar
378(4)
16.5 The study of mathematics in mid-Qing China
382(3)
Conclusion
385(8)
Main Units
393(2)
Bibliography
395
1 Mathematical and astronomical manuscripts from the Kangxi court
395(2)
2 Editions used for main other Chinese works on mathematics, astronomy and harmonics
397(1)
3 Other sources
397(3)
4 Secondary literature
400(21)
Index
421
Catherine Jami is a Director of Research at the French CNRS (SPHERE, Université de Paris-Diderot). She originally trained as a mathematician, and then in Chinese studies. In the past she has served as presidents for both the International Society for the History of East Asian Science, Technology and Medicine and the Association Française d'Etudes Chinoises. She was also treasurer for the International Union of History and Philosophy of Science (ICSU). Starting with her book 'Les Méthodes Rapides pour la Trigonométrie et le Rapport Précis du Cercle (1774): tradition chinoise et apport occidental en mathématiques' (1990), she has published extensively on mathematics in seventeenth and eighteenth century China, as well as on the Jesuit missionaries and the reception of the sciences they introduced to late Ming and early Qing China.