The mathematics of Egypt, Mesopotamia, China, India, and Islam : a sourcebook /
Victor Katz, editor ; Annette Imhausen ... [et al.].
- Princeton : Princeton University Press, c2007.
- xiv, 685 p. : ill. ; 27 cm.
Includes bibliographical references and index.
Preface -- Permissions -- Introduction -- Egyptian mathematics / Preliminary remarks -- Introduction -- Invention of writing and number systems -- Arithmetic -- Metrology -- Hieratic mathematical texts -- Table texts -- Problem texts -- Mathematics in administrative texts -- Middle Kingdom texts : the Reisner papyri -- New Kingdom texts : Ostraca from Deir el Medina -- Mathematics in the Graeco-Roman period -- Context -- Table texts -- Problem texts -- Appendices -- Glossary of Egyptian terms -- Sources -- References -- Annette Imhausen -- ch. 1. 1. a. b. c. 2. a. b. 3. a. b. 4. a. b. c. 5. a. b. c. Mesopotamian mathematics / Introduction -- Mesopotamian mathematics through Western eyes -- Mathematics and scribal culture in ancient Iraq -- From tablet to translation -- Explananda -- The long third millennium, c. 3200-2000 BCE -- Uruk in the late fourth millennium -- Shuruppag in the mid-third millennium -- Nippur and Girsu in the twenty-fourth century BCE -- Umma and Girsu in the twenty-first century BCE -- The old Babylonian period, c. 2000-1600 BCE -- Arithmetical and metrological tables -- Mathematical problems -- Rough work and reference lists -- Later Mesopotamia, c. 1400-150 BCE -- Appendices -- Sources -- References -- Eleanor Robson -- ch. 2. 1. a. b. c. d. 2. a. b. c. d. 3. a. b. c. 4. 5. a. b. Chinese mathematics / Preliminary remarks -- China : the historical and social context -- Methods and procedures : counting rods, the "out-in" principle -- Recent archaeological discoveries : the earliest yet-known bamboo text -- Mathematics and astronomy : the Zhou bi suan jing and right triangles (The Gou-gu or "Pythagorean" theorem) -- The Chinese "Euclid", Liu Hui -- The Nine Chapters -- The Sea Island Mathematical Classic -- The "Ten Classics" of ancient Chinese mathematics -- Numbers and arithmetic : the Mathematical Classic of Master Sun -- The Mathematical Classic of Zhang Qiujian -- Outstanding achievements of the Song and Yuan dynasties (960-1368 CE) -- Qin Jiushao -- Li Zhi (Li Ye) -- Yang Hui -- d. Zhu Shijie -- Matteo Ricci and Xu Guangxi, "prefaces" to the first Chinese edition of Euclid's Elements (1607) -- Conclusion -- Appendices -- Sources -- Bibliographical guides -- References -- Joseph W. Dauben -- ch. 3. 1. 2. 3. 4. 5. a. b. 6. a. b. 7. a. b. c. 8. 9. 10. a. b. c. Mathematics in India / Introduction : origins of Indian mathematics -- Mathematical texts in ancient India -- The Vedas -- The Śulbasūtras -- Mathematics in other ancient texts -- Number systems and numerals -- Evolution of mathematics in medieval India -- Mathematics chapters in Siddhānta texts -- Transmission of mathematical ideas to the Islamic world -- Textbooks on mathematics as a separate subject -- The audience for mathematics education -- Specialized mathematics : astronomical and cosmological problems -- The Kerala school -- Mādhava, his work, and his school -- Infinite series and the role of demonstrations -- Other mathematical interests in the Kerala school -- Continuity and transition in the second millennium -- The ongoing development of Sanskrit mathematics -- Scientific exchanges at the courts of Delhi and Jaipur -- Assimilation of ideas from Islam ; mathematical table texts -- Encounters with modern Western mathematics -- Early exchanges with European mathematics -- European versus "native" mathematics education in British India -- Assimilation into modern global mathematics -- Appendices -- Sources -- References -- Kim Plofker -- ch. 4. 1. 2. a. b. c. d. 3. a. b. c. d. e. 4. a. b. c. 5. a. b. c. 6. a. b. c. 7. a. b. Mathematics in medieval Islam / Introduction -- Appropriation of the ancient heritage -- Arithmetic -- Algebra -- Number theory -- Geometry -- Theoretical geometry -- Practical geometry -- Trigonometry -- Combinatorics -- On mathematics -- Appendices -- Sources -- References -- Contributors -- Index. J. Lennart Berggren -- ch. 5. 1. 2. 3. 4. 5. 6. a. b. 7. 8. 9. 10. a. b.