**Foreword **

**Introduction **

**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?

**Conclusion **

**Units **

**Bibliography **