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  • Dr. Dr. habil. Andrea Bréard (白安雅)

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Andrea Bréard (白安雅), Dr. Dr. habil.

Andrea Bréard (白安雅), Dr. Dr. habil.

Position

  • Research Fellow

Kontaktinformationen

Karl Jaspers Centre for Advanced Transcultural Studies
Voßstraße 2, Building 4400
Room 018
69115 Heidelberg
Germany

Email:
andrea.breard@asia-europe.uni-heidelberg.de
Fax:
+49 (0) 6221 54 4012

Über Andrea Bréard (白安雅)

Trained as a mathematician and sinologist in Munich and Shanghai, Andrea Bréard holds PhDs in Philosophy, and Epistemology and the History of Science, from the Technical University Berlin and the Université Paris 7 Denis Diderot, respectively. Broadly speaking, her research interests focus on the history of mathematics and science in China. Her PhD thesis, published in 1999 in German under the title Re-Kreation eines mathematischen Konzeptes im chinesischen Diskurs, was a diachronic study of the concepts and contexts of finite series from the 1st to the 19th century in China. Over the last few years, she has been working on the modernization of statistics in early 20th century China as a case study of complex modes of translation, instigated by political and social change and involving both the adoption of foreign institutional models and the emergence of new areas of knowledge. She has published several articles related to this project and completed a 300 page manuscript, Reform, bureaucratic expansion and production of numbers, for which she was granted the Habilitations-degree in the History of Science by the Technical University Berlin.

More recently, as a fellow of the IKGF (Univ. Erlangen) Andrea Bréard analyzed the interrelation between games of chance, divination and mathematical knowledge as described in "popular" sources in late Imperial China. Using dominoes (literally, "ivory tiles") as the material objects that link these three categories of combinatorial practices, she is particularly interested in how "rationality" evolved historically as a knowledge producing value.

At the Cluster, she is currently working on practices of argumentation in late Imperial Chinese mathematical writings, focusing in particular on inductive and analogical reasoning in number theoretical discourse.

Lebenslauf

Work Experience

March 2014 – August 2014: Full Professor (temp.) at Universität Heidelberg (Graduate Programme for Transcultural Studies). Replacement of Professor J. Kurtz (Cluster Professor "Intellectual History")

since September 2005 (currently on leave): Associate Professor at Université Lille 1 Sciences et Technologies (UFR de Mathématiques & Laboratoire Paul Painlevé)

September 2009 – May 2012: Full Professor (part-time) and Vice President at École Polytechnique (Département Humanités et Sciences Sociales)

September 2011 – August 2012: Research Fellow at the International Consortium for Research in the Humanities, Fate, Freedom and Prognostication (Universität Erlangen-Nürnberg)

July 2010 – July 2011: Visiting Scholar at the Max-Planck Institute for the History of Science, Berlin (JRG, D. Schäfer & Department II, Prof. L. Daston)

July 2006 & July 2007: Adjunct Professor at CUNY, New York (Department of Mathematics, City College)

September 2004 – August 2005: Ingénieur de Recherche at CNRS, Paris (Laboratoire REHSEIS, now SPHERE – UMR 7219)

November 1997 – February 2002: Actuary at Munich Re, Joël Winter & Associés, BNP Paribas

October 1988 – August 1992: Teaching Assistant at Technische Universität München (Chair for Higher Mathematics, Prof. K. Königsberger, Chair for Numerical Mathematics, Prof. R. Bulirsch)

Education

2008 - Habilitation (History of Science), Technische Universität Berlin

1997 - Docteur (Epistémologie, Histoire des Sciences Exactes et des Institutions scientifiques), Université Paris 7 Denis Diderot

1997 - Doktor der Philosophie (Kommunikations- und Geschichtswissenschaften) Technische Universität Berlin

1992 - 1994 - Post-Graduate Studies (History of Science), Fudan University, Shanghai 

1985 - 1991 - Diploma (Mathematics and Computer Science), Technische Universität München

Awards

1999 - Prix des Jeunes Historiens, Académie Internationale d’Histoire des Sciences

1998 - Prix de Thèse, Fondation Sino-Française pour l’Éducation et la Culture

Ausgewählte Publikationen

Books


2008 - Reform, Bureaucratic Expansion and Production of Numbers: Statistics in China at the Turn of the 20th Century
Habilitationsschrift, Technische Universität Berlin

1999 - Re-Kreation eines mathematischen Konzeptes im chinesischen Diskurs: ‘Reihen’ vom 1. bis zum 19. Jahrhundert
Stuttgart: Steiner Verlag (Boethius, Bd. 42)
http://www.steiner-verlag.de/titel/50894.html

Reviews:
- Joseph Dauben. Centaurus 43 (2001): 113-121 (Review Essay),
- Erhard Scholz. East Asian Science, Technology and Medicine 18 (2001): 122-125,
- Iwo Amelung. Revue Bibliographique de Sinologie 18 (2000): 535-536,
- Keizo Hashimoto. Mathematical Reviews (2000e:01011).

1992 - Numerical Standard Form for Asymptotic Two-Point Boundary Value Problems (with J. Rentrop)
Munich Technische Universität (TU München; TUM-M9205)


Edited Volumes


2012 - Chimie et Révolutions
Special issue of Bulletin de la SABIX no. 50
http://www.sabix.org/bulletin/sabixb50.htm


Book chapters


accepted - Inductive Arguments in the Midst of Smoke: ‘Proving’ Rhetorically and Visually that Algorithms Work
In M. Hofmann and A. Levine, eds., Standards of Validity in Late Imperial Chinese Discourses, 61p.

in print - How to Quantify the Value of Domino Combinations? Divination and Shifting Rationalities in Late Imperial China
In M. Lackner und E.-M. Guggenmoos, eds., The Place of Mantic Practices in the Organisation of Knowledge, Brill, 41p.

2016 - Logik und Universalsprache - Leibniz' Ideen 200 Jahre später In M. Grötschel et al., eds., Vision als Aufgabe. Das Leibniz-Universum im 21. Jahrhundert, berlin-brandenburgische Akademie der Wissenschaften, 277-297.

2014 - Mathematics Education in East Asia in the Pre-modern Period (with Annick Horiuchi)
In A. Karp and G. Schubring, eds., Handbook on the History of Mathematics Education, Springer, chapter 8.
http://www.springer.com/mathematics/history+of+mathematics/book

2014 - On the Transmission of Mathematical Knowledge in Versified Form in China
In A. Bernard and C. Proust, eds., Scientific Sources and Teaching Contexts Throughout History: Problems and Perspectives
Boston Studies in the Philosophy and History of Science; vol. 301), Springer, 155 – 185.
http://link.springer.com/chapter

2013 - China
In R. Wilson and J. J. Watkins, eds., Combinatorics Ancient and Modern, Oxford University Press, 65 – 81.
http://www.oxfordscholarship.com/chapter-3

2010 - Knowledge and Practice of Mathematics in Late-Ming Daily-Life Encyclopedias
In F. Bretelle-Establet, ed., Looking at it from Asia. The Processes that Shaped the Sources of History of Science, (Boston Studies of Philosophy of Science; vol. 265), Springer, 305 – 329.
http://link.springer.com/chapter

2008 - A Summation Algorithm from 11th Century China. Possible Relations Between Structure and Argument
In A. Beckmann, C. Dimitracopoulos, B. Löwe, eds., Logic and Theory of Algorithms, (Lecture Notes In Computer Science; vol. 5028), Springer, 77 – 83.
http://www.springerlink.com/content

2008 - Leibniz und Tschina – ein Beitrag zur Geschichte der Kombinatorik ?
In H. Hecht et al., eds., Kosmos und Zahl. Beiträge zur Mathematik- und Astronomiegeschichte, zu Alexander von Humboldt und Leibniz (Boethius; vol. 58), Franz Steiner, 59 – 70.
http://www.steiner-verlag.de/titel/56734.html
Reviewed by J.-C. Martzloff in Zentralblatt MATH http://zbmath.org/?q=an:05635079

2007 - Where shall the history of statistics in China begin ?
In G. Wolfschmidt, ed., Es gibt für Könige keinen besonderen Weg zur Geometrie - Festschrift für Karin Reich, Dr. Erwin Rauner Verlag (Algorismus; vol. 60), 93 – 100.

2004 - La traduction d’ouvrages occidentaux de mathématiques en Chine à la fin du XIXe siècle: introduction et intégration
In P. Crozet and A. Horiuchi, eds., Traduire, transposer, naturaliser: la formation d’une langue scientifique moderne hors des frontières de l’Europe au XIXe siècle, L’Harmattan, 123 – 146.

2002 - Problems of Pursuit: Recreational Mathematics or Astronomy ?
In Y. Dold-Samplonius et al., eds., From China to Paris: 2000 Years of Transmission of Mathematical Ideas, Steiner Verlag (Boethius, vol. 46), 57 – 86.
http://www.steiner-verlag.de

2001 - On Mathematical Terminology - Culture Crossing in 19th Century China
In M. Lackner, I. Amelung and J. Kurtz, eds., New Terms for New Ideas: Western Knowledge & Lexical Change in Late Imperial China, Brill (Sinica Leidensia; 52), 305 – 326.
http://www.wsc.uni-erlangen.de/newterm.htm

1999 - The Reading of Zhu Shijie
In Yung Sik Kim and F. Bray, eds., Current Perspectives in the History of Science in East Asia, Seoul National University Press, 291 – 306.

1998 - Shen Gua’s Cuts
In Hua Jueming et al., eds., 華覺明等(編), Zhongguo keji dianji yanjiu. Di yi jie Zhongguo keji dianji guoji huiyi lunwenji 中 國科技典籍研究﹣第一屆中國科技典籍國際會議論文集(Study on Ancient Chinese Books and Records of Science and Technology. The Colloquia of 1st ISACBRST), Daxiang chubanshe, 149-163.

1996 In J. Hamel, ed., Astronomie in Quellentexten. Von Hesoid bis Hubble, Spektrum Akademischer Verlag
Astronomie im Alten China - ein Korrektiv des Fremden, 18 – 27.
Aus den Neuen Annalen der altchinesischen Tang-Dynastie (618-896), 116 – 117.
Eine Kalenderrechnung in den Neun Kapiteln aus mathematischen Büchern,1247, 118 – 119.



Journal articles


2015 - What diagrams argue in late imperial Chinese combinatorial texts
Early Science and Medicine 20(3): 241-264. http://booksandjournals.brillonline.com/

2014 - Homo ludens mathematicus. La quantification du hasard dans les pratiques combinatoires en Chine
Etudes chinoises (Revue de l’Association française d’études chinoises) XXXIII-2, dossier Chance, destin et jeux de hasard en Chine prepared by B. L’Haridon and V. Durand-Dastès (ed.), 73-102. www.klincksieck.com/livre/


accepted - Euclide en Chine ou: comment faire communiquer différentes cultures mathématiques ?
Classics@, special issue on Mathématiques et Interculturalité prepared by M. Moyon (ed.)
http://chs.harvard.edu

2013 - War und ist Mathematik in China anders? Ein Ausblick auf historische Narration und neue Trends
Mitt. Math. Ges. Hamburg 33, 11–31.

2012 - Divination with Hexagrams as Combinatorial Practice. A Paradigmatic Model in Mathematics
Zhouyi Studies (English Version) 8:1, 157 – 174.
Preprint: http://www.ikgf.uni-erlangen.de/publications/occasional-papers.shtml

2011 - Usages et destins des savoirs mathématiques dans les Encyclopédies aux dix mille trésors des Ming
Etudes Japonaises 5, special issue Pratiques lettrées au Japon et en Chine - XVIIe-XIXe siècle sous la direction d’A.
Horiuchi avec la collaboration de D. Struve, 103 – 123.
http://www.lesindessavantes.com

2010 - 統計學在近代中國的演變-從社會統計到數理統計 (The Development of Statistics in Modern China: from social statistics to mathematical statistics), with Wang Youjun 王幼軍
Journal of Shanghai Jiaotong University (Social Science ed.) 上海交通大學學報: 哲學社會科學版3, 61 – 67.

2007 - Regards croisés sur l’enseignement de l’histoire des mathématiques dans trois continents
La Revue Française d’Education comparée 2, special issue Les mathématiques, connaissance en partage, coordonné par Sylvie Roelly, L’Harmattan, 113 – 125,
http://www.aecse.net/cgi-bin/prog

2006 - Robert Hart and China’s Statistical Revolution
Journal of Modern Asian Studies 40-3, 605-630.
http://journals.cambridge.org/action/displayAbstract

2006 - Translating Statistics into 20th Century China
Journ@l Electronique d’Histoire des Probabilités et de la Statistique 2-2, Enseigner le hasard? (1885-1945) – Teaching randomness ? (1885-1945), issue prepared under the supervision of M. Armatte, 28 pp.
http://www.jehps.net/Decembre2006/Breard.pdf

2004 - Invention of foreign trade statistics in China at the turn of the 20th century
Actes et Communications 21, special issue Nomenclatures et classifications: approches historiques, enjeux économiques, prepared by J. Bourdieu, M. Bruegel and A. Stanziani, A.,INRA Editions, 25 – 55.
http://books.google.de/books

2003 - The History of Chinese Mathematics: The Past 25 Years (with J. Dauben and Xu Yibao)
ILULL 26, 431 – 477.

2000 - La recomposition des mathématiques chez Zhu Shijie: la constitution d’un domaine spécifique autour du nombre « quatre »
Oriens Occidens 3, 259 – 277.

1998 - Shen Gua’s Cuts
Taiwanese Journal for Philosophy & History of Science 10, 141 – 162.

 

Online publications


2009 - Le calcul à baguettes en Chine ancienne
Online simulation tool produced with a CNL grant (Contenus Numériques en Ligne) from the Université Lille 1 and the technical support of the SEMM (Service Multimédia Université Lille 1)
http://mathschine.univ-lille1.fr

2009 - Images des Mathématiques, CNRS
Pratiques et mathématiques combinatoires en Chine (1). Le début d’un nouveau domaine,
http://images.math.cnrs.fr/Pratiques-et-mathematiques.html
Pratiques et mathématiques combinatoires en Chine (2). Combinaisons et nombres figurés,
http://images.math.cnrs.fr/Pratiques-et-mathematiques,419.html

2006 - Les Nouvelles d’Archimède 42, 22 – 23 and 29 – 30.
http://culture.univ-lille1.fr/publications/la-revue/lesnouvellesdarchimede67.html
Sciences en traduction au début du XXème siècle: les statistiques administratives et mathématiques en Chine
Poésies aléatoires ou comment jouait-on aux dominos en Chine autour de 1600

Encyclopedia Articles and Translations


2015 - Numerical superstition
In R. Sybesma, gen. ed., Encyclopedia of Chinese Language and Linguistics, Brill Online.

online - Encyclopaedia Britannica
3 biographies of Chinese mathematicians: Jia Xian, Yang Hui, and Li Ye.
http://www.britannica.com/andrea-breard

2008 - Qin Jiushao, Shushu jiuzhang, Mathematics in China
Article-length entries in H. Selin, ed., Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures, Springer.
http://www.springer.com/philosophy/epistemology+and+philosophy+of+science/book

2005 - Liu Dun 劉鈍, Un chapitre de l’histoire des mathématiques en Chine réexaminé. La procédure « de l’excédent et du déficit », le Livre sur les calculs mathématiques et les Chroniques du miroir de l’Occident (「盈不足」,《算數書》與,《西鏡綠》)
Translation from Chinese to French in Histoire, archéologie et société - conférences académiques franco-chinoises (Cahier No. 9), École française d’Extrême-Orient.

2003 - Astronomie
In B. Staiger, S. Friedrich and H.-W. Schütte, eds., Das grosse China-Lexikon, Wissenschaftliche Buchgesellschaft (Reprint 2008 by Primus Verlag), 34 – 35.

2002 - Chinesische Mathematik
In Brockhaus, F.A. Brockhaus, 366 – 367

2001 - La sintesi delle tradizioni matematiche settentrionale e meridionale nell’opera di Zhu Shijie
In K. Chemla, ed., Storia della Scienza, vol. II: Cina, India, Americhe, Instituto della Enciclopedia Italiana, 340 – 344.

2000 - In G. Walz, ed., Mathematik-Lexikon, 6 vols., Spektrum Akademischer Verlag
• 2 survey articles on Chinese and Japanese mathematics
• 10 biographies of Chinese mathematicians (Antiquity to 20th century)
• 1 article on the the abacus

Reviews


submitted - Mathematical Intelligencer.
Roger Hart, Imagined civilizations. China, theWest, and their first encounter. The Johns Hopkins University Press, 2013.

2012 - Historia Mathematica, 39 – 3, 335 – 338.
J.-C. Martzloff, Le calendrier chinois: structure et calculs (104 av. J.-C.-1644). Indétermination céleste et réforme permanente.
La construction chinoise officielle du temps quotidien discret à partir d’un temps mathématique caché, linéaire et continu, Honoré Champion, 2009.
http://www.sciencedirect.com

2012 - East Asian Science, Technology and Medicine (EASTM) 35, 143 – 146.
Fan Lianghuo, Wong Ngai-Ying, Cai Jinfa and Li Shiqi, eds., How Chinese Learn Mathematics. Perspectives from Insiders (Series on Mathematics Education - Vol. 1), World Scientific, 2004.

2010 - Revue de synthèse 131-2.
V. J. Katz, The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook. Princeton University Press, 2007.

2008 - Aestimatio. Critical Reviews in the History of Science 5, 156–162.
K. Wulff, Naturwissenschaften im Kulturvergleich: Europa–Islam–China. Verlag Harri Deutsch, 2006.

2007 - China Review International, 14-2, 542 – 543.
M. Siebert, Pulu 譜錄. “Abhandlungen und Auflistungen” zu materieller Kultur und Naturkunde im traditionellen China, Harrassowitz Verlag, 2006.
http://muse.jhu.edu/china-review-international/breard.html

2005 - East Asian Science, Technology and Medicine 24, 107 – 109.
L. Saraiva, History of Mathematical Sciences. Portugal and East Asia II. EMAFUL, 2001.

2000 - Revue Bibliographique de Sinologie 18.
Kiyosi Yabuuti (tranduction de Kaoru Baba et C. Jami), Une histoire des mathématiques chinoises, Belin (Pour la Science), 1999.

1999 - Revue d’Histoire des Sciences 2, 324 – 325.
Fan Dainian and R. S. Cohen, eds. (translated by K. Dugan and Jiang Mingshan), Chinese Studies in the History and Philosophy of Science and Technology, Kluwer Academic Publishers (Boston Studies in the Philosophy of Science, vol. 179), 1996.

1998 - Centaurus 40:3-4, 348 – 350.
C. Cullen, Astronomy and mathematics in ancient China: the Zhou bi suan jing, Cambridge University Press, 1996.

1998 - Archives Internationales d’Histoire des Sciences 48, 464 – 467.
M. Folkerts, M.M. Rozanskaja, I. Luther, Mathematikgeschichte ohne Grenzen. Die Korrespondenz zwischen K. Vogel and A.P. Juschkewitsch. Institut für Geschichte der Naturwissenschaften (Algorismus, vol. 22), 1997.

1996 - Historia Mathematica 23-3, 327 – 329.
A. Horiuchi, Les mathématiques japonaises à l’époque d’Edo (1600-1868) : Une étude des travaux de Seki Takakazu (?-1708) et de Takebe Katahiro (1664-1793), Librairie philosophique J.Vrin, 1994.
http://www.sciencedirect.com/science/article

1999 – Zentralblatt MATH (European Mathematical Society) http://www.emis.de/ZMATH

• Kobayashi, Tatsuhiko. “Influence of European mathematics on pre-Meiji Japan.” In: Knobloch, Eberhard (ed.) et al., Seki, founder of modern mathematics in Japan. A commemoration on his tercentenary. Tokyo: Springer (Springer Proceedings in Mathematics & Statistics 39), 357-374 (2013).

• Wimmer-Zagier, Silke; Zagier, Don. “Some questions and observations around the mathematics of Seki Takakazu.”
In: Knobloch, Eberhard (ed.) et al., Seki, founder of modern mathematics in Japan. A commemoration on his tercentenary.
Tokyo: Springer (Springer Proceedings in Mathematics & Statistics 39), 275-297 (2013).

• Xin, Zhouping. “The Institute of Mathematical Sciences (IMS) at the Chinese University of Hong Kong.” ICCM Not. 1, No. 1, 96 (2013).

• Poon, Yat Sun. “The Mathematical Sciences Center of Tsinghua University.” ICCM Not. 1, No. 1, 87-95 (2013).

• Lim, Tina Su-Lyn; Wagner, Donald B. “The grand astrologer’s platform and ramp: four problems in solid geometry from Wang Xiaotong’s ‘Continuation of ancient mathematics’ (7th century AD).” Historia Mathematica 40, No. 1, 3-35 (2013).

• Mitsuo, Morimoto; Tsukane, Ogawa. “Mathematical treatise on the technique of linkage.” SCIAMVS 13, 157-286 (2012).

• Ji, Lizhen. “A brief overview of the work of Shing-Tung Yau.” In: Ji, Lizhen (ed.), Geometry and analysis, No. 1.
Collected papers of the conference “Geometric analysis: present and future” on the occasion of Shing-Tung Yau’s 60th birthday, Harvard University, Cambridge, MA, USA, August 27 – September 1, 2008. Somerville, MA: International Press; Beijing: Higher Education Press (Advanced Lectures in Mathematics (ALM) 17), 7-77 (2011).

• Li, Wenlin. “Jacques Hadamard and Tsinghua.” Gu, Binglin (ed.) et al., Frontiers of mathematical sciences. The inauguration of the Mathematical Sciences Center of Tsinghua University and the Tsinghua-Sanya International Mathematics Forum. Somerville, MA: International Press. 145-262 (2011).

• Constantino, Antonieta. “SANGAKU: The Edo period.” In Silva, Jorge Nuno (ed.), Proceedings of the recreational mathematics colloquium I, University of Évora, Portugal, April 29–May 2, 2009. Lisboa: Associação Ludus. 59-67 (2010).

• Gupta, R.C. “India’s contributions to Chinese mathematics through the eighth century C.E.” In Yadav, B.S. (ed.) et al., Ancient Indian leaps into mathematics. Boston, MA: Birkhäuser. 33-44 (2010).

• Grémy, Jean-Paul. “Les sondages d’opinon clandestins dans la France occupée.” J. Electron. Hist. Probab. Stat. 5, No. 2, 1-67 (2009).

• Nabonnand, Philippe. “La notion d’holonomie chez Élie Cartan.” Revue d’Histoire des Sciences 62, No. 1, 221-245 (2009).

• Csicsery, George. Julia Robinson and Hilbert’s tenth problem (DVD). Boca Raton, FL: CRC Press (2008).

• Cullen, Christopher. “The Suàn shù shū, “writings on reckoning”: rewriting the history of early Chinese mathematics in the light of an excavated manuscript.” Historia Mathematica 34, No. 1, 10-44 (2007).

• Markov, A.A. “An example of statistical investigation of the text Eugene Onegin concerning the connection of samples in chains.” Science in Context 19-4, 591-600 (2006).

• Markov, A.A. “On a remarkable case of samples connected in a chain. Appendix on the statistical investigation of a text by Aksakov.” Science in Context 19-4, 601-604 (2006).

• Link, David. “Chains to the west: Markov’s theory of connected events and its transmission to Western Europe.” Science in Context19, No. 4, 561-589 (2006).

• Mo De. “Study of editions of Euclid’s Elements.” (Chinese) J. Inn. Mong. Norm. Univ., Nat. Sci. 35, No. 4, 495-498 (2006).

• Martzloff, Jean-Claude. A history of Chinese mathematics. Transl. from the French by S. Wilson. With forewords by Jaques Gernet and Jean Dhombres. Corrected 2nd printing. (English) Berlin: Springer. (2006).

• Du, Ruizhi; Wang, Xiaoshuo. “The origin and development of Stieltjes integrals” (in Chinese). J. Guangxi Univ. Nationalities, Nat. Sci. 12-1, 37-42 (2006).

• Chemla, Karine. “Geometrical figures and generality in ancient China and beyond: Liu Hui and Zhao Shuang, Plato and Thabit ibn Qurra.” Science in Context 18, No. 1, 123-166 (2005).

• Chemla, Karine. “The interplay between proof and algorithm in 3rd century China: The operation as prescription of computation and the operation as argument.” In: Mancosu, Paolo (ed.) et al., Visualization, explanation and reasoning styles in mathematics. Dordrecht: Springer (Synthese Library 327), 123-145 (2005).

• Desrosières, Alain. Die Politik der großen Zahlen. Eine Geschichte der statistischen Denkweise. Übersetzt aus dem Französischen von Manfred Stern. Berlin: Springer, 2005.

• Maeyama, Y. “On the extreme lunar velocities.” Arch. Hist. Exact Sci. 60, No. 3, 269-283 (2006).

• Martzloff, Jean-Claude. “Metonic cycles, classical and non-classical, and Chinese calendrical calculations (104 BC–618 AD).” Cubo 6, No. 2, 53-77 (2004).

• Dauben, Joseph W. “The Suan shu shu (A book on numbers and computation). Preliminary investigation.” In Seising, Rudolf (ed.) et al., Form, number, order. Studies on the history of science and technology. Festschrift for Ivo Schneider to his 65th birthday. Stuttgart: Franz Steiner Verlag (Boethius 48), 151-168 (2004).

• Chemla, Karine; Guo, Shuchun. Les neuf chapitres. Le classique mathématique de la Chine ancienne et ses commentaires. Édition critique bilingue traduite, présentée et annotée par Karine Chemla et Guo Shuchun. Préface de Geoffrey Lloyd. Paris: Dunod (2004).

• Gumbel, E.J. “Statistique et lutte des classes. Réflexion programmatique.” In Martin, Thierry (ed.), Mathematics and political actions. Historical and philosophical studies on social mathematics. Paris: Institut National d’Études Démographiques (INED). 189-210 (2000).

• Hertz, Sébastien. “Statistique de l’état et statistique mathématique. Un texte-manifeste remarquable d’Emil Julius Gumbel: ”Statistique et lutte des classes” (1928).” In Martin, Thierry (ed.), Mathematics and political actions. Historical and philosophical studies on social mathematics. Paris: INED. 163-187 (2000).

• Chemla, Karine. “Les problèmes comme champ d’interprétation des algorithmes dans Les neuf chapitres sur les procédures mathématiques et leurs commentaries.” Oriens Occidens 3, 189-234 (2000).

• Qu, Anjing. “Methods for determining the intercalary month in a Chinese calendar-making system: a problem of probability.” (Chinese) J. Northwest Univ., (Nat. Sci. Ed.) 30, No.6, 465-469 (2000).

• Feng, Lisheng; Li, Di. “«Liuzhang», «Sankai» xintan” (On the two mathematical works “liuzhang” and “Sankai”). (Chinese) J. Northwest Univ., (Nat. Sci. Ed.) 30-1 (2000): 89-92.

• Wang, Xiaoqin. “Notes on Archimedes’proofs of the volume of joined umbrella.” (Chinese) J. Qufu Norm. Univ. (Nat. Sci.) 26, No.4, 25-28 (2000).

• Kim, Soo Hwan. “Development of materials for ethnomathematics in Korea.” In: Selin, Helaine (ed.) et al., Mathematics across cultures. The history of non-western mathematics. Dordrecht: Kluwer Academic Publishers (Science across Cultures: The History of Non-Western Science 2), 455-465 (2000).

• Martzloff, Jean-Claude: “Chinese Mathematical Astronomy.” In Selin, Helaine (ed.) et al., Mathematics across cultures. The history of non-western mathematics. Dordrecht: Kluwer Academic Publishers (Science across Cultures: The History of Non-Western Science 2), 373-407 (2000).

• Wang, Hui; Tegus. “A discussion on the Xiang theory about the cyclotomic continued proportional method.” (Chinese) Pure Appl. Math. 16, No.2, 85-88 (2000).

• Joseph, George Gheverghese: The Crest of the Peacock. The non-European roots of mathematics. Princeton, NJ: Princeton University Press, 2000.

• Sun, Xiaoli. “A wrong statement about Leibniz and his interpretation of Chinese I Ching figure.” Historia Scientiarum, II. Ser. 8, No.3, 239-247 (1999).

• Sasaki, Chikara: “The French and Japanese schools of algebra in the seventeeth century: A comparative study.” Historia Scientiarum 9-1 (1999): 17-26.

• Bao, Fangxun. “On al-Tusi’s discussion on positive roots of cubic algebraic equations.” (Chinese) J. Qufu Norm. Univ. (Nat. Sci.) 25, No.4, 52-55 (1999).

• Fu, Hailun; Liu, Qiuxiang. “The positional method and the mechanization of Siyuan soluble procedure.” (Chinese) J. Qufu Norm. Univ. (Nat. Sci.) 25, No.4, 47-51 (1999).

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