Part I Western learning and the Ming-Qing transition
1. The Jesuits and mathematics in China, 1582-1644
2. Western learning under the new dynasty
Part II The two first decades of Kangxi's rule
3. The emperor and his astronomer
4. A mathematical scholar in Jiangnan: the first half-life of Mei Wending
5. The "Kings' Mathematicians"
6. Inspecting the Southern sky: Kangxi at the Nanjing Observatory
Part III Mathematics for the emperor
7. Teaching "French science" at the court: Gerbillon and Bouvet's tutoring
8. The imperial road to geometry: new 'Elements of Geometry'
9. Calculation for the emperor: the writings of a discreet mathematician
10. Astronomy in the capital (1689-1693): scholars, officials and ruler
Part IV Turning to Chinese scholars and Bannermen
11. The 1700s: a reversal of alliance
12. The Office of Mathematics: foundation and staff
13. The Jesuits and innovation in imperial science: Jean-Francois Foucquet's treatises
Part V Mathematics and the empire
14. The construction of the 'Essence of numbers and their principles'
15. Methods and material culture in the 'Essence of numbers and their principles'
16. A new mathematical classic?