TY - BOOK AU - Katz,Victor J. AU - Imhausen,Annette TI - The mathematics of Egypt, Mesopotamia, China, India, and Islam: a sourcebook SN - 9780691114859 (hardcover : alk. paper) AV - QA22 .M3735 2007 U1 - 510.9 22 PY - 2007/// CY - Princeton PB - Princeton University Press KW - Mathematics, Ancient KW - Sources KW - Mathematics KW - History N1 - Includes bibliographical references and index; Preface --; Permissions --; Introduction --; ch. 1; Egyptian mathematics; Annette Imhausen --; Preliminary remarks --; 1; Introduction --; a; Invention of writing and number systems --; b; Arithmetic --; c; Metrology --; 2; Hieratic mathematical texts --; a; Table texts --; b; Problem texts --; 3; Mathematics in administrative texts --; a; Middle Kingdom texts : the Reisner papyri --; b; New Kingdom texts : Ostraca from Deir el Medina --; 4; Mathematics in the Graeco-Roman period --; a; Context --; b; Table texts --; c; Problem texts --; 5; Appendices --; a; Glossary of Egyptian terms --; b; Sources --; c; References --; ch. 2; Mesopotamian mathematics; Eleanor Robson --; 1; Introduction --; a; Mesopotamian mathematics through Western eyes --; b; Mathematics and scribal culture in ancient Iraq --; c; From tablet to translation --; d; Explananda --; 2; The long third millennium, c. 3200-2000 BCE --; a; Uruk in the late fourth millennium --; b; Shuruppag in the mid-third millennium --; c; Nippur and Girsu in the twenty-fourth century BCE --; d; Umma and Girsu in the twenty-first century BCE --; 3; The old Babylonian period, c. 2000-1600 BCE --; a; Arithmetical and metrological tables --; b; Mathematical problems --; c; Rough work and reference lists --; 4; Later Mesopotamia, c. 1400-150 BCE --; 5; Appendices --; a; Sources --; b; References --; ch. 3; Chinese mathematics; Joseph W. Dauben --; Preliminary remarks --; 1; China : the historical and social context --; 2; Methods and procedures : counting rods, the "out-in" principle --; 3; Recent archaeological discoveries : the earliest yet-known bamboo text --; 4; Mathematics and astronomy : the Zhou bi suan jing and right triangles (The Gou-gu or "Pythagorean" theorem) --; 5; The Chinese "Euclid", Liu Hui --; a; The Nine Chapters --; b; The Sea Island Mathematical Classic --; 6; The "Ten Classics" of ancient Chinese mathematics --; a; Numbers and arithmetic : the Mathematical Classic of Master Sun --; b; The Mathematical Classic of Zhang Qiujian --; 7; Outstanding achievements of the Song and Yuan dynasties (960-1368 CE) --; a; Qin Jiushao --; b; Li Zhi (Li Ye) --; c; Yang Hui -- d. Zhu Shijie --; 8; Matteo Ricci and Xu Guangxi, "prefaces" to the first Chinese edition of Euclid's Elements (1607) --; 9; Conclusion --; 10; Appendices --; a; Sources --; b; Bibliographical guides --; c; References --; ch. 4; Mathematics in India; Kim Plofker --; 1; Introduction : origins of Indian mathematics --; 2; Mathematical texts in ancient India --; a; The Vedas --; b; The Śulbasūtras --; c; Mathematics in other ancient texts --; d; Number systems and numerals --; 3; Evolution of mathematics in medieval India --; a; Mathematics chapters in Siddhānta texts --; b; Transmission of mathematical ideas to the Islamic world --; c; Textbooks on mathematics as a separate subject --; d; The audience for mathematics education --; e; Specialized mathematics : astronomical and cosmological problems --; 4; The Kerala school --; a; Mādhava, his work, and his school --; b; Infinite series and the role of demonstrations --; c; Other mathematical interests in the Kerala school --; 5; Continuity and transition in the second millennium --; a; The ongoing development of Sanskrit mathematics --; b; Scientific exchanges at the courts of Delhi and Jaipur --; c; Assimilation of ideas from Islam ; mathematical table texts --; 6; Encounters with modern Western mathematics --; a; Early exchanges with European mathematics --; b; European versus "native" mathematics education in British India --; c; Assimilation into modern global mathematics --; 7; Appendices --; a; Sources --; b; References --; ch. 5; Mathematics in medieval Islam; J. Lennart Berggren --; 1; Introduction --; 2; Appropriation of the ancient heritage --; 3; Arithmetic --; 4; Algebra --; 5; Number theory --; 6; Geometry --; a; Theoretical geometry --; b; Practical geometry --; 7; Trigonometry --; 8; Combinatorics --; 9; On mathematics --; 10; Appendices --; a; Sources --; b; References --; Contributors --; Index UR - http://www.loc.gov/catdir/toc/ecip071/2006030851.html UR - http://www.loc.gov/catdir/enhancements/fy0726/2006030851-d.html ER -