Chapter 1 Preface / 1
Astronomy and Calendar/ 16Mathematics / 16
III. Agriculture and Animal Husbandry / 17
Medicine / 18Diet therapy and Health Cultivation / 18Geography / 19
VII. Architecture / 20
Chapter 2 Astronomy and Chinese Calendar / 25
establishment of Observatories and Astronomical Observation / 26The Establishment of Observatories / 26Astronomical Observation / 31 Manufacture of Astronomical Instruments/ 34Abridged Armilla / 35Scaphe / 38Gnomon / 38Shadow De ner and Observing Table / 40
III. Achievements of the Shoushi li 42
Prominent Astronomer Guo Shoujing/ 44Ethnic Minority Astronomers: Yelü Chucai， Jamāl al-Dīn， etc. / 50Calendars of Ethnic Minority / 57Mongolian Calendar / 58The Calendar of the Tibetan Nationality / 61The Calendar of the Hui Nationality / 63Calendar of the Yi Nationality / 65The Calendar of the Dai Nationality / 67
Chapter 3 Mathematics / 69
Peak Period of the Development of Ancient Mathematics in China/ 69Tianyuan Shuand Siyuan Shu/ 73Tianyuan Shu/ 73SiyuanShu / 74
III. Interpolation Method and Duoji Shu (Methods of Summing Series) / 76
The Interpolation Method / 76Duoji Shu / 77IV. Li Ye， the Sea Mirror of the Circle Measurements and the Old Mathematics
in Expanded Sections / 78
Zhu Shijie， the Introduction to Mathematical Studies and the Jade Mirror
of the Four Unknowns / 83
M?ngke， the Earliest Researcher of Euclid’s Elements in China / 87
VII. Reckoning by the Abacus / 89
Chapter 4 Geoscience / 91
e Compilation of Total Annals of the Yuan / 91Exploration and Investigation of the Source of the Yellow River / 95
III. Zhu Siben and Map of the Territory / 98
Other Maps / 101Geoscience Works in the Form of Travel Notes / 103Earthquake and Geology / 111Records of Earthquakes / 111Records of Geology / 113
Chapter 5 Agriculture and Animal Husbandry / 117
Overview / 117Essentials of Farming and Sericulture / 123
III. Wang Zhen and the Agricultural Book / 127
Lu Mingshan， A Uygur agronomist and the Essentials of Agriculture， Sericulture， Food and Clothing / 132Animal Husbandry / 136
Chapter 6 Hydraulics / 145
Completing the Beijing-Hangzhou Grand Canal / 146Digging Jizhou River / 147iiiExcavating Huitong River / 149Excavating Tonghui River / 151Maritime Transport and Navigation / 152
III. Other Water Conservancy Projects / 158
Works on Water Conservancy / 161
Chapter 7 Medicine and Pharmacy / 167
Major Achievement in Medicine and Pharmacy / 167Li Gao and His Medical Works / 182
III. Zhu Zhenheng and His Medical Works / 186
Wei Yilin and His Effective Formulas Tested by Physicians for Generations / 191Hua Shou and His An Elucidation of the Fourteen Channels / 195Mongolian Medical Scientist Sademishi and His Ruizhutang Jingyan Fang / 198
VII. Achievements in Medicine of Mongolian and Other Ethnic Minorities / 201
Achievements in Mongolian Medicine / 202Tibetan Medicine / 208Uygur medicine / 210
Chapter 8 Diet therapy and Health Cultivation / 213
Mongolian Nutritionist Hu Sihui and the His YSZY / 215A Complete Book of Daily Necessity in A Familyand Diet Exchanges / 221
III. Other Works on Diet erapy and Nutrition / 224
Ni Yunlin andCollection of Diet Rulesby Yunlintang / 224Diet Adviceby Jia Ming / 225Qiu Chuji and His Health Cultivation eory/ 227Other Works on Qigong Health Cultivation/ 231Reference of Three Elements for Long Lifeby Li Pengfei / 232Li Daochun’s The Book of Balance and Harmony/ 233The Collection of Gold Pillby Xiao Tingzhi / 235The Gist of Gold Pill by Chen Zhixu / 236Mongolian Eight Treasures and Other Nutritious Food / 238
Chapter 9 Architecture / 243
Yuan Dadu / 246Shangdu， Helin and Other Northern Cities / 251
III. Buddhism and Taoism Architecture / 256
Lamaism and Islamic Architecture / 267Yurt / 274
Chapter 10 Handicraft and Technology / 277
Organizations and Its Management and Production Status / 277Weapon Industry / 281
III. Textile Industry / 286
Silk Weaving / 287Cotton Industry / 294Wool Weaving Industry / 299Printing Industry and Shipbuilding Industry / 300Printing Industry / 300Shipbuilding Industry / 304Ceramic Industry and Lacquerware Industry / 305Porcelain Industry / 287Lacquerware Industry / 292
Chapter 11 Scientific and Technological Exchanges Between China and Foreign Countries / 313
Exchange of Astronomy and Calendar / 315 Exchange of Mathematics / 321
III. Exchange of Medicine and Pharmacy / 327
Exchange of Geography / 331The Travels of Marco Polo/ 331The Travel Notes of Jean de Plan Carpin to the Mongol / 333The Journey of Rubruk to the Eastern Parts / 334The Journey of Hethum I， King of Little Armenia / 334The Journey of Friar Odoric to the Eastern PartsWritten by Friar Odoric / 335 Exchange of Architecture / 337 Exchange of Artillery and Ceramic Technology / 341Artillery / 341Ceramic / 344
內容試閱：
我国古代数学经数千年的发展，到宋元时达到了高峰期。而元代更是这种高峰期的顶峰状态。如中国自然科学史研究室数学史组在其《宋元数学综述》一文里说： “13世纪下半纪（主要指元代）特别值得我们注意。如果说宋元数学是以筹算为中心内容的中国古代数学发展的高潮，那么13世纪下半纪正就是这个高潮的顶峰。”我国已故著名数学史专家钱宝琮先生也说：“中国数学以元初为最盛，学人蔚起，著作如林，于数学史上放特殊光彩。”可见元代数学在我国数学史上所占的重要地位。
After development for thousands of years， ancient Chinese mathematics had almost reached its peak in the Song Dynasty and even reached a new high in the Yuan Dynasty. As the article， The Review of Mathematics in the Song and Yuan Dynasties by the history of mathematics department of the Chinese Academy of Sciences wrote: “The second half of the 13th century (mainly referring to the Yuan Dynasty) deserves our attention. If the mathematics in the Song and the Yuan Dynasties centered on the counting rod mathematics was the climax of the development in ancient Chinese mathematics， the second half of the 13th century was the peak of this climax.” Qian Baocong (钱宝琮)， a well-known late expert on the history of mathematics in China， also said: “Chinese mathematics was the most prosperous in the early Yuan Dynasty with many scholars and books， which was splendid in the history of mathematics.” It can be seen that mathematics in the Yuan Dynasty plays an important role in the history of mathematics in China.
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