DOCSLIB.ORG

© in This Web Service Cambridge University Press Cambridge University Press 978-1-107-01221-9

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
© in This Web Service Cambridge University Press Cambridge University Press 978-1-107-01221-9 Cambridge University Press 978-1-107-01221-9 - The History of Mathematical Proof in Ancient Traditions Edited by Karine Chemla Index More information Index abacus, see tool for calculation 31, 38, 39–51, 53, 55, 57, 59–60, 428, Abbenes, J. G. J., 191 436 abbreviation, 36–7, 328–40, 349, 355–6 computing reciprocals (or ‘reciprocal absence of demonstrations, 1, 9, 56, 276, 277, algorithm’), 44–7 280, 289 cancelling the eff ect of one another, 45–7, 50, abstraction, 38, 354, 360, 452, 469, 471, 484, 447, 455 485; see also generality, paradigm meaning of, 41–2, 44–6, 52–3, 62, 500, 503, Abū al-Wafāʾ, 286, 289 507 Academy of Science (Paris), 275 procedure for the fi eld with the greatest ācārya, 262, 266, 488 generality, 431–6, 439–40, 442–4, 459, accuracy (indiff erence to visual), see diagram 475–6, 483 Acerbi, F., 205 transparent, 38, 40, 42, 48–9, 63; see also Adelard of Bath, 86, 87, 89, 90, 91, 93, 95, 105, transparency 106, 109, 115, 117, 126–7, 130 use of, in proofs, 49, 426–81, 487–8, 497–8, aggregated shares/parts, see fenlü 503, 508 Akkadian, 384–6, 391, 398, 411, 414 see also factorization, procedure, square root, Akkadian method, 373 text of an algorithm Alexandria, 361 Allard, A., 359 algebra, 6, 9, 11, 43–4, 57, 317–19, 450 Allman, G., 279 in India, 6, 235 allograph, 36, 37, 330, 338, 340–1, 359 Old Babylonian “algebra”, 364–80 Almagest , see Ptolemy numerical interpretation, 369 altitude, 494–6, 498 symbolic, 57, 327–8, 330 An Pingqiu 安平秋, 517 syncopated, 327–8, 330 an-Nayrîzî (Abû l’ Abbâs al-Fadl ibn Hâtim Algebra with Arithmetic and Mensuration , 242, an-Nayrîzî, also Nayzīrī (al-)) 246, 247 Analects ( Th e ), see Lun yu algebraic analysis, see analysis analysis, 6, 12, 44, 280 algebraic formula, 46, 391, 393, 395 algebraic, 6, 9, 242, 245, 246 algebraic proof, 6, 7, 46, 47–51, 57–60 indeterminate, 287 Diophantus’ impact on the text of algebraic in Diophantus’ Arithmetics , 36, 44, 350–3 proof, 39, 318–25 see also demonstration in an algorithmic context, 47–51, 59, Andersen, K., 150 423–86 annotation, 86, 95, 103, 120 history of, 7, 9, 39, 50, 60, 426, 450, 480–4 Anschauungsgeometrie , 276, 280, 285, 289 validity of linked to the set of numbers with anti-Arab ideology, 275 which one operates, 50, 311–26 Antiphon, 296–7 algorithm, 9–10, 18, 38, 45, 51–3, 56, 59–60, Apollonius of Perga, 1, 69, 70, 135, 140 260, 270, 271–2, 359, 423–86, 487–8, Conics 497–8, 500, 503, 506–8 Book I, 149 algorithms reverse of one another, 47, 50; see m a n u s c r i p t Vatican 206 , see manuscripts also reverse algorithm (Greek) as list of operations, 38, 40, 44, 59, 425, 428–9, Proposition I 13, 149 432, 436, 438–54, 500 Proposition I 16, 145–6 574 as statements proved to be correct, 9–10, 18, applications, 13, 274, 287 © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-01221-9 - The History of Mathematical Proof in Ancient Traditions Edited by Karine Chemla Index More information Index 575 approximations, 40, 301, 452–8 Posterior Analytics and Euclid’s Elements , 1, Arabic science, 2, 5, 7, 21–3, 37, 43–4, 48, 26–7 274–5, 286–9 theory of demonstration in the Posterior ‘Arabs’, 5, 274, 287 Analytics, 1, 17, 26–7, 66, 303–4 handling of ‘Greek’ mathematics, 286–9, arithmetic, 9, 33, 267, 294, 297–8, 300, 302, 440, 339–40 451, 459, 473, 482–3, 507 imitators of the Greeks, 289–90 with fractions, 50, 426, 431–6, 441–3, 447, Archimedes, 1, 2, 5, 20, 24–6, 28, 42, 62, 66, 451–80, 483 69, 135, 140, 163–204, 276, 299–300, Arithmetica , see Arithmetics, Diophantus of 305–6, 308, 351, 362 Alexandria Heiberg’s edition of Archimedes’ writings, 20, arithmetical reasoning, 8, 34, 263, 269, 311–26, 24–6, 86 504, 507 Heiberg forcing divisions between types Arithmetics , 35–9, 44, 46, 283–4 of propositions and components of critical analysis of Tannery’s edition, 36 propositions onto texts, 26 see also Diophantus of Alexandria mechanical way of discovery, 28, 42 Arnauld, A., 18 Palimpsest, 86, 147–8, 164–5, 179–80, 187, Arneth, A., 278–9 189, 192, 195 Arnzen, R., 87, 131 Archimedes, works by a r t i fi cial languages, 45–6, 65 Arenarius , 178, 180–1, 186, 188–9, 190, 195, Ā r y a b h a t. a, 244, 282, 487–90, 494, 500–1, 504–8 203 Āryabhat. īya, 51–3, 66, 487, 489–92, 494, Cattle Problem , 178, 186, 188, 203 498–501, 504–8 Centres of Weights of Solids , 171 Āryabhat. īyabhās. ya , 487–508 Conoids and Spheroids , 171, 178, 186, 188–9, Asiatic Society, 230, 232, 239, 242, 257, 273 192–3, 199–201, 203 Assayag, J., 228, 256, 259 Floating Bodies , 164, 171, 178, 186–9, 194, astronomy, 265, 274–5, 294, 297–8, 300, 304, 203 494–8, 508 Measurement of Circle , 164–5, 171, 178–9, history of Indian astronomy, 237, 239, 241, 186–8, 203 258, 261, 262, 264, 272–3, 276, 494–8 Method , 28, 42, 171, 178–9, 186–9, 195–203, inequality of the moon, 275 299–300, 308 practical, 274 proposition 14, 148, 158, 196–8 spherical, 274 Planes in Equilibria , 164, 171, 177–9, 186–9, Athenian public accounts, 10 193–5, 203 Atiyah, M., 16, 17, 64 Polyhedra , 171, 188 August, E. F., 137 Quadrature of Parabola , 171, 178, 186, 188–9, authenticity, 79, 95, 97–9, 100–5, 110 193–4, 203 Autolycus, 139 Sphere and Cylinder , 140, 146, 164–76, autonomous practical knowledge, 381 178–9, 181–4, 186–9, 193–5, 203 auxiliary construction, 209, 220, 221, 224 m a n u s c r i p t Vatican Ottob . 1850, see Averroes, 207, 223 manuscripts (Latin) axiom, 14, 304–5, 308; see also starting points Spiral Lines , 164–5, 171, 176, 178, 186–9, 190, axiomatization, 15, 62 195, 203 axiomatic–deductive structure, 14, 15, 23, Stomachion , 171, 178, 186–9, 203 57–8, 62 Archytas, 190, 295, 298–9, 304 in the nineteenth century, early twentieth Aristarchus, 305 century, 12, 20, 26 On the Sizes and Distances of the Sun and outside mathematics in ancient Greece, 15, 29 Moon , 305 scholia, 156 ba gu wen 八股文 ‘eight-legged essays’, 513 Aristophanes, 297 Babylonian mathematics, 1, 5, 12, 14, 18, 20, 31, Aristotle, 1, 17, 26–7, 66, 295–8, 300, 302–8, 37, 39–49, 50, 55, 59, 62, 65, 370, 377, 325, 362–3, 377, 381 379–81 Prior Analytics and Euclid’s Elements , 377 seen as empirical, 363 © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-01221-9 - The History of Mathematical Proof in Ancient Traditions Edited by Karine Chemla Index More information 576 Index Babylonian mathematics (cont.) Burnyeat, M. F., 303 see also mathematical education Burrow, R., 231–6, 239, 242, 247, 257 Bachet, C., 325 Busard, H. L. L., 86, 89, 130, 152 backtracking huan 還 , 437–8, 447, 457–8, 482–3, 539, 544 Calcidius Bacon, Francis, 381 Plato’s Timaeus, 156 Bailly, C., 512 calculation, 10, 40, 263, 266, 283, 498, 507 Bailly, J.-S., 234, 236–9 as opposed to ‘proof’, 10, 40, Bakhshali manuscript , 260, 501, 503, 506 blind, 37, 507 Banerji, H. C., 247–8, 257 devaluation of, calculation as a mathematical Barker, A. D., 302 activity, 10, 12, 40, 50, 60, 263 Barozzi, 206, 207 see also Babylonian mathematics, Bashmakova, I. G., 328 computation Ben Miled, M., 87, 131 Campanus of Novara, 69, 78, 79, 81, 86, 127, Berezkina, E., 535 130, 134 Berggren, J. L., 149 cân 斤 (Vietnamese, Chinese: jin , measure of Bernays, P., 312 weight), 524, 527–8, 539, 541–2 Bertier, J., 311 Canaan, T., 340 Besthorn, R. O., 130, 138 canon, 53, 64; see also classic Bhāskara I, 51–2, 66, 67, 270–2, 487–508 Cantor, M., 277–83, 285–9 Bhāskara II (also Bhascara, Bhaskaracarya), 66, cao 草 ‘computations’, 531, 533–4 235, 248, 249–50, 254, 264, 276, 290 Cardano, G., 289 Biancani, 206 Carnot, L., 5 Biernatzki, K. L., 275 Carra de Vaux, Bernard, 292 Bija-Ganita (also Vija-Ganita ), 235, 240, 241, c a s e o f fi gure, 23, 58, 90, 111, 115, 124, 128, 243–6, 249, 252, 254, 276, 487 152–3 Biot, E., 1, 5, 56, 66, 275, 511–13 Catena, 206 Biot, J.-B., 5, 9, 245, 274–5 Cavigneaux, A., 384, 405, 410 Birch, A. H., 285 certainty, 2, 11, 12–17, 30, 62, 265, 281 Bīrūnī (al-), 290 actors’ perception of what yields certainty, 14 Blanchard, A., 72, 132, 134, 187 certainty as possibly entailing losses Blue, G., 3, 66 for mathematics and history of Bombelli, R., 284 mathematics, 17, 18, 32, 41, 62 Book of Mathematical Procedures , see Suan shu shu Ceyuan haijing 測圓海鏡, Sea Mirror of the Bos, H., 290 Circle Measurements , 58, 450, 558, 566 Bourbaki, N., 69, 74, 120, 132, 328 Ch’en Liang-ts’so (Chen Liangzuo) 陳良佐, 572 Bouvet, J., 3 Chang’an 長安, 514 Boyer, C. B., 328 chang fa 常法 ‘constant norm’, 527–8, 539 Brahmagupta, 228, 240, 243, 246, 255, 264, Charette, F., 5, 6–9, 10, 53, 228, 257 273, 508 Charpin, D., 387 Brahmasphutasiddhanta , 243–5, 508 Chasles, M., 5, 278 Brentjes, S., 78, 85, 87, 89, 116, 118, 119, 132–3 Chattopadhyaya, D., 273 Bretschneider, E., 279 checking, 10, 44–5, 505, 507 Brianchon, C.
Load more

Recommended publications
  • Download Cv (Pdf)
    KARINE CHEMLA SPHERE —UMR 7219 CNRS-University Paris Diderot http://www.sphere.univ-paris-diderot.fr/spip.php?article524&lang=en Table of contents 1. Résumé 1.a Education 1.b Academic Positions 1.c Awards and Honors 1.d Fellowships and Grants 2. Publications 2.a Monographs 2.b Edited and Co-edited Books 2.c Articles and Book Chapters (Last twelve years only) 2.d For a wider readership (Last twelve years only) 2.e Reviews (Last ten years only) 3. Conferences 3.a Organization of conferences: A sample 3.b Lectures (Last seven years only) 4. Teaching activities 4.a PhD students advised 4.b Courses (a sample) 5. Service to the Profession 5.a Editorial activities 5.b Management 6. Activities Towards a Broader Audience (a sample) 6.a Publications and editorial activities 6.b Radio and TV Programs 6.c Lectures Résumé. Karine Chemla. May 2020. p. 1 1. Résumé 1.a Education Born February 8, 1957 in Tunisia. 1973: Secondary school degree. 1976: Entry in the Ecole Normale Supérieure de Jeunes Filles (ENSJF). 1977: 4th year of mathematics (U. Paris 7). 1978: Agrégation de mathématiques. 1979: Master Degree (5th year), Mathematics (U. Paris 7). 1980-1981: Scholarship of the Foundation Singer-Polignac on a project “Science and Culture”, undertaken in China. Self Learning of Chinese. Studies on the History of Mathematics in China at the Institute for the History of Natural Sciences, Academia Sinica, Beijing. Winner of the Prize of the Foundation to the Best Travel Report. 1981-82: 5th year in the ENSJF.
    [Show full text]
  • Imagery of Female Daoists in Tang and Song Poetry
    Imagery of Female Daoists in Tang and Song Poetry by Yang Liu B.A. Changchun Normal University, 1985 M.A. Jilin University, 1994 A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY in THE FACULTY OF GRADUATE STUDIES (Asian Studies) THE UNIVERSITY OF BRITISH COLUMBIA (Vancouver) April, 2011 © Yang Liu, 2011 Abstract This dissertation involves a literary study that aims to understand the lives of female Daoists who lived from the eighth to the twelfth centuries in China. Together with an examination of the various individual qualities manifested in their poetry, this study includes related historical background, biographical information and a discussion of the aspirations and cultural life of the female clergy. Unlike some of the previous scholarship that has examined Daoist deities and mythical figures described in hagiographical texts and literary creations, or on topics such as the Divine Mother of the West and miscellaneous goddesses and fairies, this work takes the perspective of examining female Daoists as historical persons who lived in real Daoist convents. As such, this work concentrates on the assorted images of female Daoists presented in their own poetic works, including those of Yu Xuanji, Li Ye, Yuan Chun, Cao Wenyi and Sun Bu-er. Furthermore, this thesis also examines poetic works about female Daoists written by male literati from both inside and outside the Daoist religion. I do this in order to illustrate how elite men, the group with whom female Daoists interacted most frequently, appreciated and portrayed these special women and their poetry. I believe that a study of their works on Daoist women will not only allow us a better understanding of the nature and characters of female Daoists, but will also contribute to our knowledge of intellectual life in Tang and Song society.
    [Show full text]
  • One Quadratic Equation, Different Understandings: the 13Th Century Interpretations by Li Ye and Later Commentaries in the 18Th and 19Th Centuries
    Journal for History of Mathematics http://dx.doi.org/10.14477/jhm.2017.30.3.137 Vol. 30 No. 3 (Jun. 2017), 137–162 One Quadratic Equation, Different Understandings: the 13th Century Interpretations by Li Ye and Later Commentaries in the 18th and 19th Centuries Charlotte Pollet Ying Jia-Ming* The Chinese algebraic method, the tian yuan shu, was developed during Song pe- riod (960–1279), of which Li Ye’s works contain the earliest testimony. Two 18th century editors commentated on his works: the editor of the Siku quanshu and Li Rui, the latter responding to the former. Korean scholar Nam Byeong-gil added an- other response in 1855. Differences can be found in the way these commentators considered mathematical objects and procedures. The conflicting nature of these commentaries shows that the same object, the quadratic equation, can beget differ- ent interpretations, either a procedure or an assertion of equality. Textual elements in this paper help modern readers reconstruct different authors’ understandings and reconsider the evolution of the definition of the object we now call ‘equation’. Keywords: algebra, quadratic equation, Song China, Qing China, Joseon Korea MSC: 01A13, 01A25, 01A35, 01A50, 01A55, 12–03 1 Introduction It is well-known to sinologists that our present knowledge of Song dynasty (960– 1279) mathematics derives from reconstructions made by Qing dynasty editors [24]. This time period is known for its evidential studies particularly in the fields of philol- ogy, phonology and exegesis, and for the editions of Classics in order to republish ancient Chinese texts. Some editors, convinced of the Chinese origin of algebra, used philological techniques to recover lost materials and restore the roots of ‘Chi- nese mathematics’ [15, 30].
    [Show full text]
  • KUIL, Vol. 26, 2003, 429-474 the HISTORY of CHINESE
    KUIL, vol. 26, 2003, 429-474 THE HISTORY OF CHINESE MATHEMATICS: THE PAST 25 YEARS ANDREA EBERHARD-BRÉARD REHSEIS (CNRS), France • Ph. D. Program in History • The Graduate Center, CUNY JOSEPH W. DAUBEN Ph. D. Program in History • The Graduate Center, CUNY XU YIBAO Ph.D. Program in History • The Graduate Center, CUNY RESUMEN ABSTRACT El presente artículo presenta los más This paper presents the major accom- importantes logros de la investigacián plishments of research over the past quar- sobre historia de las matemáticas chinas en ter century in the field of Chinese mathe- el ŭltimo cuarto del siglo XX. Comienza matics and its history. We begin with a con una breve panordmica sobre el estado brief overview of the progress of our de conocimientos y las principales figuras knowledge of that history, and the major que realizaron las prirneras contribuciones figures who contributed the fundamental fundamentales antes de 1975 para después early works prior to 1975, and then exam- examinar más detenidamente las aporta- ine more carefully the achievements of the ciones Ilevadas a cabo durante el ŭltimo past quarter century, beginning with a cuarto de siglo: autores europeos, publica- general overview of the subject before ciones en inglés y, finalmente, la extraor- surveying in more detail the contributions dinaria produccián en chino, en su mayor made in the past twenty-five years, first parte tras la Revolución Cultural. by Europeans, then by scholars publishing in English, after which this survey turns to examine the extraordinary production of scholarship written in Chinese, most of it since the end of the Cultural Revolution.
    [Show full text]
  • 14Th International Conference on the History of Science in East Asia (Paris, 6-10 July 2015): Book of Abstracts Catherine Jami, Christopher Cullen, Sica Acapo
    14th International Conference on the History of Science in East Asia (Paris, 6-10 July 2015): Book of Abstracts Catherine Jami, Christopher Cullen, Sica Acapo To cite this version: Catherine Jami, Christopher Cullen, Sica Acapo. 14th International Conference on the History of Science in East Asia (Paris, 6-10 July 2015): Book of Abstracts. 2015, pp.2015-07. halshs-01220174 HAL Id: halshs-01220174 https://halshs.archives-ouvertes.fr/halshs-01220174 Submitted on 25 Oct 2015 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. SOURCES, LOCALITY AND GLOBAL HISTORY: SCIENCE, TECHNOLOGY AND MEDICINE IN EAST ASIA BOOK OF ABSTRACTS 6-10 July 2015 EHESS, Paris 14TH ICHSEA PARTNERS & SPONSORS INTERNATIONAL SOCIETY FOR THE HISTORY OF EAST ASIAN SCIENCE, TECHNOLOGY AND MEDECINE GDR 3398 « Histoire des mathématiques » 14TH INTERNATIONAL CONFERENCE ON THE HISTORY OF SCIENCE IN EAST ASIA SOURCES, LOCALITY AND GLOBAL HISTORY: SCIENCE, TECHNOLOGY AND MEDICINE IN EAST ASIA BOOK OF ABSTRACTS Designed by Sica Acapo Edited by Catherine Jami & Christopher Cullen 6-10 July
    [Show full text]
  • The Nine Chapters on the History of Chinese Mathematics
    The Nine Chapters on the History of Chinese Mathematics Rik Brandenburg¤ Keimpe Nevenzeely 15 July 2007 Abstract This article explores Chinese mathematics from the ¯rst archeological evidence of numbers on oracle bones (14th century BC) to the time Chi- nese mathematics became a part universal mathematics (halfway the 19th century AD). First a concise overview of Chinese history and in philosophy is given. The ethical oriented Confucianism was the dominant philosophy and con- sequently little attention was given to the natural world, hindering the development of natural sciences and mathematics. Due to historical and philosophical reasons, Chinese mathematics took quite a di®erent path than its Western counterpart: Chinese mathematics was focused on alge- bra and practical applications instead of geometry and theoretical reason- ing. The Nine Chapters on the Mathematical Art (ca. 1st century AD) is by far the most influential work: it would shape Chinese mathematics for centuries to come. Between the 3rd and the 11th century AD, Bud- dhist and Indian ideas got a ¯rm grip on China, yet curiously Chinese mathematics is barely influenced. In the `Chinese Renaissance' and the subsequent Mongol occupation between the 12th and 14th century Chinese mathematics will reach its zenith. In the 15th and 16th centuries mathematical development waned and important achievements were forgotten. Only after the arrival of Eu- ropean missionary-scientists at the end of the 16th and during the 17th century mathematics made progress again. The Opium Wars of the 19th century mark the end of the classical China and the indigenous Chinese mathematics would be assimilated by universal mathematics.
    [Show full text]
  • V Chinese Mathematics
    V Chinese Mathematics The ancient record of civilization in China began in the more northern Yellow River Valley where the Yangshao culture existed from about 5,000 to 2700 B.C.E. These people lived in the middle and lower parts of the river valley. They cultivated rice and millet, kept pigs, wove baskets and made pottery without a wheel. Their pottery was dyed red with black geometric designs painted on it, and also pictures of fish and human faces. Archeologists have found pottery from these people with the symbols for 1, 2, 5, and 7 painted on the dishes. The next culture, one which evolved from the Yangshao, was the Longshan culture, which thrived from 3,000 to 2,000 B.C.E., approximately. This culture domesticated the water buffalo, sheep and cattle. They made black pottery on a wheel. The pottery was not painted but decorated with grooved or raised rings. From about 2100 to 1600 B.C.E. the Xia (or Hsia) dynasty controlled the Yellow River Valley. Recent discoveries have unearthed a large city with a wall and a moat for defensive purposes surrounding the city. This city has been dated to the early Xia dynasty. It is in Henan Province in today’s China. From about 1500 to 1000 B.C.E the Shang dynasty controlled the area with a capital city at Anyang, also in current day Henan province, just north of the southern bend in the Yellow River. They also used the walled and moated city of the Xia, mentioned above. By 1300 B.C.E.
    [Show full text]
  • On Their Own Terms
    On Their Own Terms On Their Own Terms Science in China, 1550–1900 Benjamin A. Elman Harvard University Press Cambridge, Massachusetts, and London, England 2005 Copyright © 2005 by the President and Fellows of Harvard College All rights reserved. Printed in the United States of America Library of Congress Cataloging-in-Publication Data Elman, Benjamin A., 1946– On their own terms : science in China, 1550–1900 / Benjamin A. Elman. p. cm. Includes bibliographical references and index. ISBN 0-674-01685-8 (alk. paper) 1. Science—China—History—16th century. 2. Science—China— History—17th century. 3. Science—China—History—18th century. 4. Science—China—History—19th century. I. Title. Q127.C5E38 2005 509'.51—dc22 2004059654 For Susan Naquin and Nathan Sivin and in memory of my mother, Rachel Elman Contents List of Maps, Illustrations, and Tables xi Chinese Dynasties xv Abbreviations xix Preface xxi I Introduction 1 Prologue 3 Finding the Correct Conceptual Grid 4 What Should Be the Literati Theory of Knowledge? 5 Late Ming Classicism in the Context of Commercial Expansion 9 Printing Technology and Publishing 16 Naturalization of Anomalies in Ming China and Early Modern Europe 20 1. Ming Classification on the Eve of Jesuit Contact 24 Ordering Things through Names 24 Collecting the Collectors 34 Late Ming Statecraft, Mathematics, and Christianity 53 Collecting Things in Texts 57 II Natural Studies and the Jesuits 61 2. The Late Ming Calendar Crisis and Gregorian Reform 63 Development of the Ming Astro-calendric Bureau 65 Evolution of the Late Ming Calendar Crisis 73 Gregorian Reform 80 Jesuits and Late Ming Calendar Reform 84 3.
    [Show full text]
  • ATINER's Conference Paper Series MAT2013-0472 Bilingual
    ATINER CONFERENCE PAPER SERIES No: MAT2013-0472 Athens Institute for Education and Research ATINER ATINER's Conference Paper Series MAT2013-0472 Bilingual Mathematics Education and Mathematical Olympiads Youyu Phillips Professor Keystone College USA 1 ATINER CONFERENCE PAPER SERIES No: MAT2013-0472 Athens Institute for Education and Research 8 Valaoritou Street, Kolonaki, 10671 Athens, Greece Tel: + 30 210 3634210 Fax: + 30 210 3634209 Email: [email protected] URL: www.atiner.gr URL Conference Papers Series: www.atiner.gr/papers.htm Printed in Athens, Greece by the Athens Institute for Education and Research. All rights reserved. Reproduction is allowed for non-commercial purposes if the source is fully acknowledged. ISSN 2241-2891 31/07/2013 2 ATINER CONFERENCE PAPER SERIES No: MAT2013-0472 An Introduction to ATINER's Conference Paper Series ATINER started to publish this conference papers series in 2012. It includes only the papers submitted for publication after they were presented at one of the conferences organized by our Institute every year. The papers published in the series have not been refereed and are published as they were submitted by the author. The series serves two purposes. First, we want to disseminate the information as fast as possible. Second, by doing so, the authors can receive comments useful to revise their papers before they are considered for publication in one of ATINER's books, following our standard procedures of a blind review. Dr. Gregory T. Papanikos President Athens Institute for Education and Research 3 ATINER CONFERENCE PAPER SERIES No: MAT2013-0472 This paper should be cited as follows: Phillips, Y.
    [Show full text]
  • Résumé May 2021
    KARINE CHEMLA SPHERE — UMR 7219 CNRS — Université de Paris (University Paris Diderot) http://www.sphere.univ-paris-diderot.fr/spip.php?article524&lang=en Table of contents 1. Résumé 1.a Education 1.b Academic Positions 1.c Awards and Honors 1.d Fellowships and Grants 2. Publications 2.a Monographs 2.b Edited and Co-edited Books 2.c Articles and Book Chapters (Last twelve years only) 2.d For a wider readership (Last twelve years only) 2.e Reviews (Last ten years only) 3. Conferences 3.a Organization of conferences: A sample 3.b Lectures (Last seven years only) 4. Teaching activities 4.a PhD students advised 4.b Courses (a sample) 5. Service to the Profession 5.a Editorial activities 5.b Management 6. Activities Towards a Broader Audience (a sample) 6.a Publications and editorial activities 6.b Radio and TV Programs 6.c Lectures Résumé. Karine Chemla. September 2020. p. 1 1. Résumé 1.a Education Born February 8, 1957 in Tunisia. 1973: Secondary school degree. 1976: Entry in the Ecole Normale Supérieure de Jeunes Filles (ENSJF). 1977: 4th year of mathematics (U. Paris 7). 1978: Agrégation de mathématiques. 1979: Master Degree (5th year), Mathematics (U. Paris 7). 1980-1981: Scholarship of the Foundation Singer-Polignac on a project “Science and Culture”, undertaken in China. Self Learning of Chinese. Studies on the History of Mathematics in China at the Institute for the History of Natural Sciences, Academia Sinica, Beijing. Winner of the Prize of the Foundation to the Best Travel Report. 1981-82: 5th year in the ENSJF.
    [Show full text]
  • State and Crafts in the Qing Dynasty (1644-1911) State and Crafts in the Qing Dynasty (1644-1911) Social Histories of Work in Asia
    SOCIAL HISTORIES OF WORK IN ASIA Moll-Murata State and Crafts in the Qing Dynasty (1644-1911) Qing the in Crafts and State Christine Moll-Murata State and Crafts in the Qing Dynasty (1644-1911) State and Crafts in the Qing Dynasty (1644-1911) Social Histories of Work in Asia For centuries Asian workers provided their own societies and the world with manufactures, spices, rice and many other items. Recruitment, organization and control of sufficient amounts of labour have been essential to keep the Asian economies and societies going. This series aims at looking into these dynamics in depth, acknowledging the wide-ranging variety of social trajectories including labour values and cultural connotations, ecological constraints and different degrees of market orientations. The series aims to be a meeting place between experts from a variety of disciplines; from linguistics to history and social sciences. The core ambition of the series is to explain different types of labour (share cropping, wage labour, slavery, casual or precarious labour) within a wider cultural, economic and ecological context. Topics such as guilds, circulation of labour, gender stratifications, religious and ethnic identities or modes of labour control are all relevant to this approach. Other topics may be balancing these more structural considerations by departing from the workers’ perspectives and their actions: ranging from collective action and daily resistance to life cycles and their relationship to labour. Geographically the series will cover the space from East
    [Show full text]
  • Chronological List of Names
    V. Katz, A History of Mathematics (3e éd.) CHRONOLOGICAL LIST OF NAMES A'h-mose Hypatia Abraham ibn Ezra Scipione dei Ferro Marin Mersenne (seventeenth century BCE) (355-415) (1090-1167) (1465-1526) (1588-1648) Thales Proclus Hugh of St. Victor Albrecht Dürer Girard Desargues (624-547 BCE) (410-485) (1096-1141) (1471-1528) (1591-1661 ) Pythagoras Zhang Quijian Robert of Chester Nicolaus Copernicus Wilhelm Schickard (572-497 BCE) (Iifth century) (twelfth century) (1473-1543) (1592-1635) Hippocrates of Chios Zu Chongzhi Bhâskara Il Christoff Rudolff Albert Girard (470-410 BCE) (Iilth century) (1114-1185) (sixteenth century) (1595-1632) Zeno of Elea Aryabha!a Gerard of Cremona Michael Stifel René Descartes (Iilth century BCE) (Iilth century) (1114-1187) (1487-1567) (1596-1650) Archytas Boethius Ibn Ya~ya al-Samaw'al Johann Scheubel Bonaventura Cavalieri (Iilth century BCE) (480-524) (1125-1174) (1494-1570) (1598-1647) Democritus Zu Geng Jabir ibn Aflah Niccolà Tartaglia Pierre de Fermat (Iifth century BCE) (sixth century) (twelfth century) (1499-1557) (1601-1665) Plato Varahamihira Sharaf al-DTn al-TüsT Annibale della Nave Florimond Debeaune (429-347 BCE) (sixth century) (twellth century) . (1500-1558) (1601-1652) Theaetetus Isidore 01 Seville Leonardo of Pisa Gerolamo Cardano Gilles Persone de Roberval (417-369 BCE) (560-636) (1170-1240) (1501-1576) (1602-1675) Eudoxus Bhaskara 1 Li Ye Pedro Nunes Evangelista Torricelli (408-355 BCE) (seventh century) (1192-1279) (1502-1578) (1608-1647) Aristotle Brahmagupta Ahmad ibn Mun'im Federigo Commandino Frans van Schooten (384-322 BCE) (seventh century) (Îhirteenth century) (1509-1575) (1615-1660) Menaechmus Alcuin of York NasTr al-DTn al-TüsT Robert Recorde Henry Oldenburg (Iourth century BCE) (735-804) (1201-1274) .
    [Show full text]