Skip to main content Accessibility help

Login Alert

×

Menu links

  1. Browse
      1. Subjects
          1. Subjects (A-D)
            1. Anthropology
            2. Archaeology
            3. Area Studies
            4. Art
            5. Chemistry
            6. Classical Studies
            7. Computer Science
            8. Drama, Theatre, Performance Studies
          2. Subjects (E-K)
            1. Earth and Environmental Science
            2. Economics
            3. Education
            4. Engineering
            5. English Language Teaching – Resources for Teachers
            6. Film, Media, Mass Communication
            7. General Science
            8. Geography
            9. History
          3. Subjects (L-O)
            1. Language and Linguistics
            2. Law
            3. Life Sciences
            4. Literature
            5. Management
            6. Materials Science
            7. Mathematics
            8. Medicine
            9. Music
            10. Nutrition
          4. Subjects (P-Z)
            1. Philosophy
            2. Physics and Astronomy
            3. Politics and International Relations
            4. Psychiatry
            5. Psychology
            6. Religion
            7. Social Science Research Methods
            8. Sociology
            9. Statistics and Probability
        1. Open access
            1. All open access publishing
              1. Open access
              2. Open access journals
              3. Research open journals
              4. Journals containing open access
              5. Open access articles
              6. Open access books
              7. Open access Elements
          1. Journals
              1. Explore
                1. All journal subjects
                2. Search journals
              2. Open access
                1. Open access journals
                2. Research open journals
                3. Journals containing open access
                4. Open access articles
              3. Collections
                1. Cambridge Forum
                2. Cambridge Law Reports Collection
                3. Cambridge Prisms
                4. Research Directions
            1. Books
                1. Explore
                  1. Books
                  2. Open access books
                  3. New books
                  4. Flip it Open
                2. Collections
                  1. Cambridge Companions
                  2. Cambridge Editions
                  3. Cambridge Histories
                  4. Cambridge Library Collection
                  5. Cambridge Shakespeare
                  6. Cambridge Handbooks
                3. Collections (cont.)
                  1. Dispute Settlement Reports Online
                  2. Flip it Open
                  3. Hemingway Letters
                  4. Shakespeare Survey
                  5. Stahl Online
                  6. The Correspondence of Isaac Newton
              1. Elements
                  1. Explore
                    1. About Elements
                    2. Elements series
                    3. Open access Elements
                    4. New Elements
                  2. Subjects (A-E)
                    1. Anthropology
                    2. Archaeology
                    3. Classical Studies
                    4. Computer Science
                    5. Drama, Theatre, Performance Studies
                    6. Earth and Environmental Sciences
                    7. Economics
                    8. Education
                    9. Engineering
                  3. Subjects (F-O)
                    1. Film, Media, Mass Communication
                    2. History
                    3. Language and Linguistics
                    4. Law
                    5. Life Sciences
                    6. Literature
                    7. Management
                    8. Mathematics
                    9. Medicine
                    10. Music
                  4. Subjects (P-Z)
                    1. Philosophy
                    2. Physics and Astronomy
                    3. Politics and International Relations
                    4. Psychology
                    5. Religion
                    6. Sociology
                    7. Statistics and Probability
                1. Textbooks
                    1. Explore
                      1. Cambridge Higher Education
                      2. Title list
                      3. New titles
                  1. Collections
                      1. Book collections
                        1. Cambridge Companions
                        2. Cambridge Editions
                        3. Cambridge Histories
                        4. Cambridge Library Collection
                        5. Cambridge Shakespeare
                        6. Cambridge Handbooks
                      2. Book collections (cont.)
                        1. Dispute Settlement Reports Online
                        2. Flip it Open
                        3. Hemingway Letters
                        4. Shakespeare Survey
                        5. Stahl Online
                        6. The Correspondence of Isaac Newton
                      3. Journal collections
                        1. Cambridge Forum
                        2. Cambridge Law Reports Collection
                        3. Cambridge Materials
                        4. Cambridge Prisms
                      4. Series
                        1. All series
                    1. Partners
                        1. Partners
                          1. Agenda Publishing
                          2. Amsterdam University Press
                          3. Anthem Press
                          4. Boydell & Brewer
                          5. Bristol University Press
                          6. Edinburgh University Press
                          7. Emirates Center for Strategic Studies and Research
                          8. Facet Publishing
                        2. Partners (cont.)
                          1. Foundation Books
                          2. Intersentia
                          3. ISEAS-Yusof Ishak Institute
                          4. Jagiellonian University Press
                          5. Royal Economic Society
                          6. Unisa Press
                          7. The University of Adelaide Press
                          8. Wits University Press
                    2. Services
                        1. About
                            1. About Cambridge Core
                              1. About
                              2. Accessibility
                              3. CrossMark policy
                              4. Ethical Standards
                            2. Environment and sustainability
                              1. Environment and sustainability
                              2. Reducing print
                              3. Journals moving to online only
                            3. Guides
                              1. User guides
                              2. User Guides and Videos
                              3. Support Videos
                              4. Training
                            4. Help
                              1. Cambridge Core help
                              2. Contact us
                              3. Technical support
                          1. Agents
                              1. Services for agents
                                1. Services for agents
                                2. Journals for agents
                                3. Books for agents
                                4. Price list
                            1. Authors
                                1. Journals
                                  1. Journals
                                  2. Journal publishing statistics
                                  3. Corresponding author
                                  4. Seeking permission to use copyrighted material
                                  5. Publishing supplementary material
                                  6. Writing an effective abstract
                                  7. Journal production - FAQs
                                2. Journals (cont.)
                                  1. Author affiliations
                                  2. Co-reviewing policy
                                  3. Anonymising your manuscript
                                  4. Publishing open access
                                  5. Convert your article to Gold Open Access
                                  6. Publishing Open Access - webinars
                                3. Journals (cont.)
                                  1. Preparing and submitting your paper
                                  2. Publication journey
                                  3. Publishing agreement FAQs for journal authors
                                  4. Author Information Form FAQs
                                  5. Promoting your published paper
                                  6. Measuring impact
                                  7. Journals artwork guide
                                  8. Using ORCID
                                4. Books
                                  1. Books
                                  2. Marketing your book
                                  3. Author guides for Cambridge Elements
                              1. Corporates
                                  1. Corporates
                                    1. Commercial reprints
                                    2. Advertising
                                    3. Sponsorship
                                    4. Book special sales
                                    5. Contact us
                                1. Editors
                                    1. Information
                                      1. Journal development
                                      2. Peer review for editors
                                      3. Open access for editors
                                      4. Policies and guidelines
                                    2. Resources
                                      1. The editor's role
                                      2. Open research for editors
                                      3. Engagement and promotion
                                      4. Blogging
                                      5. Social media
                                  1. Librarians
                                      1. Information
                                        1. Open Access for Librarians
                                        2. Transformative agreements
                                        3. Transformative Agreements - FAQs
                                        4. Evidence based acquisition
                                        5. Cambridge libraries of the world podcast
                                        6. Purchasing models
                                        7. Journals Publishing Updates
                                      2. Products
                                        1. Cambridge frontlist
                                        2. Cambridge journals digital archive
                                        3. Hot topics
                                        4. Other digital products
                                        5. Perpetual access products
                                        6. Price list
                                        7. Developing country programme
                                        8. New content
                                      3. Tools
                                        1. Eligibility checker
                                        2. Transformative agreements
                                        3. KBART
                                        4. MARC records
                                        5. Using MARCEdit for MARC records
                                        6. Inbound OpenURL specifications
                                        7. COUNTER usage reporting
                                      4. Resources
                                        1. Catalogues and resources
                                        2. Making the most of your EBA
                                        3. Posters
                                        4. Leaflets and brochures
                                        5. Additional resources
                                        6. Find my sales contact
                                        7. Training
                                        8. Read and publish resources
                                    1. Peer review
                                        1. Peer review
                                          1. How to peer review journal articles
                                          2. How to peer review book proposals
                                          3. How to peer review Registered Reports
                                          4. Peer review FAQs
                                          5. Ethics in peer review
                                          6. Online peer review systems
                                          7. A guide to Publons
                                      1. Publishing ethics
                                          1. Journals
                                            1. Publishing ethics guidelines for journals
                                            2. Core editorial policies for journals
                                            3. Authorship and contributorship for journals
                                            4. Affiliations for journals
                                            5. Research ethics for journals
                                            6. Competing interests and funding for journals
                                          2. Journals (cont.)
                                            1. Data and supporting evidence for journals
                                            2. Misconduct for journals
                                            3. Corrections, retractions and removals for journals
                                            4. Versions and adaptations for journals
                                            5. Libel, defamation and freedom of expression
                                            6. Business ethics journals
                                          3. Books
                                            1. Publishing ethics guidelines for books
                                            2. Core editorial policies for books
                                            3. Authorship and contributorship for books
                                            4. Affiliations for books
                                            5. Research ethics for books
                                            6. Competing interests and funding for books
                                          4. Books (cont.)
                                            1. Data and supporting evidence for books
                                            2. Misconduct for books
                                            3. Corrections, retractions and removals for books
                                            4. Versions and adaptations for books
                                            5. Libel, defamation and freedom of expression
                                            6. Business ethics books
                                        1. Publishing partners
                                            1. Publishing partners
                                              1. Publishing partnerships
                                              2. Partner books
                                              3. eBook publishing partnerships
                                              4. Journal publishing partnerships
                                            2. Publishing partners (cont.)
                                              1. Journals publishing
                                              2. Customer support
                                              3. Membership Services
                                              4. Our Team
                                        2. Open research
                                            1. Open access policies
                                                1. Open access policies
                                                  1. Open research
                                                  2. Open access policies
                                                  3. Cambridge University Press and Plan S
                                                  4. Text and data mining
                                                  5. Preprint policy
                                                  6. Social sharing
                                                2. Journals
                                                  1. Open access journals
                                                  2. Gold Open Access journals
                                                  3. Transformative journals
                                                  4. Green Open Access policy for journals
                                                  5. Transparent pricing policy for journals
                                                3. Books and Elements
                                                  1. Open access books
                                                  2. Gold open access books
                                                  3. Green Open Access policy for books
                                                  4. Open access Elements
                                              1. Open access publishing
                                                  1. About open access
                                                    1. Open research
                                                    2. Open Access Week
                                                    3. What is open access?
                                                    4. Open access glossary
                                                    5. Open access myths
                                                    6. Hybrid Open Access FAQs
                                                    7. Eligibility checker
                                                  2. Open access resources
                                                    1. Open access resources
                                                    2. Benefits of open access
                                                    3. Creative commons licences
                                                    4. Funder policies and mandates
                                                    5. Article type definitions
                                                    6. Convert your article to Gold Open Access
                                                    7. Open access video resources
                                                1. Open research initiatives
                                                    1. Research transparency
                                                      1. Transparency and openness
                                                      2. Open Practice Badges
                                                      3. OA organisations, initiatives & directories
                                                      4. Registered Reports
                                                      5. Annotation for Transparent Inquiry (ATI)
                                                    2. Journal flips
                                                      1. Open access journal flips
                                                      2. OA Journal Flip FAQs
                                                    3. Flip it Open
                                                      1. Flip it Open
                                                      2. Flip it Open FAQs
                                                  1. Open access funding
                                                      1. Open access funding
                                                        1. Funding open access publication
                                                        2. Cambridge Open Equity Initiative
                                                        3. Completing a RightsLink (open access) transaction
                                                    1. Cambridge Open Engage
                                                        1. Cambridge Open Engage
                                                          1. Cambridge Open Engage
                                                          2. Partner With Us
                                                          3. Branded Hubs
                                                          4. Event Workspaces
                                                          5. Partner Resources
                                                          6. APSA Preprints
                                                          7. APSA Preprints FAQs
                                                    Hostname: page-component-7f64f4797f-7vssv Total loading time: 0 Render date: 2025-11-06T00:45:24.872Z Has data issue: false hasContentIssue false

                                                    History of Mathematics in the Islamic World: The Present State of the Art

                                                    Published online by Cambridge University Press:  09 March 2016


                                                    J. L. Berggren*
                                                    Affiliation:
                                                    Simon Fraser University

                                                    Extract

                                                    In Recent Years, many discoveries in the history of Islamic mathematics have not been reported outside the specialist literature, even though they raise issues of interest to a larger audience. Thus, our aim in writing this survey is to provide to scholars of Islamic culture an account of the major themes and discoveries of the last decade of research on the history of mathematics in the Islamic world. However, the subject of mathematics comprised much more than what a modern mathematician might think of as belonging to mathematics, so our survey is an overview of what may best be called the “mathematical sciences” in Islam; that is, in addition to such topics as arithmetic, algebra, and geometry we will also be interested in mechanics, optics, and mathematical instruments.


                                                    Information

                                                    Type
                                                    Research Article
                                                    Copyright
                                                    Copyright © Middle East Studies Association of North America 1985

                                                    Access options

                                                    Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

                                                    Article purchase

                                                    Temporarily unavailable


                                                    References

                                                    Ahmad, Salah, and Rashed, Roshdi 1972. Eds. Al-Bāhir en algèbre d’as-Samaw’al. In French and Arabic. Damascus: University Press of Damascus.Google Scholar
                                                    Ali, Jami 1967. Trans. The determination of the coordinates of cities. Beirut: American University of Beirut Press.Google Scholar
                                                    Anbouba, Adel 1977. See Anbouba, 1978b.Google Scholar
                                                    Anbouba, Adel 1978a. L’algèbre arabe aux IXe et Xe siècles. Aperçu général. Journal for the History of Arabie Science 2:66100.Google Scholar
                                                    Anbouba, Adel 1978b. Construction de l’heptagone régulier par les Arabes au 4e siècle de l’hégire. Journal for the History of Arabie Science 2:26469. This is a summary of the much more extensive Arabic article that appeared in the same journal, vol. 1 (1977): 35284.Google Scholar
                                                    Anbouba, Adel 1979. Un traité d’Abū Ja’far (al-Khāzin) sur les triangles rectangles numériques. Journal for the History of Arabic Science 3:13478.Google Scholar
                                                    Anbouba, Adel 1982. Un mémoire d’al-Qaīṣī (4e siècle H.) sur certaines sommations numériques. Journal for the History of Arabic Science 6(1–2):20881.Google Scholar
                                                    Berggren, J. L. 1980. A comparison of four analemmas for determining the azimuth of the Qibla. Journal for the History of Arabic Science 4:6980.Google Scholar
                                                    Berggren, J. L. 1981a. On al-Biruni’s ‘Method of the Zijes’ for the Qibla. In Proceedings of the 16th International Congress of the History of Science, Section C, 23745. Bucharest: Academy of the Socialist Republic of Romania.Google Scholar
                                                    Berggren, J. L. 1981b. An anonymous treatise on the regular nonagon. Journal for the History of Arabic Science 5:3741.Google Scholar
                                                    Berggren, J. L. 1982. Al-Bīrūnī on plane maps of the sphere. Journal for the History of Arabic Science 6:47112.Google Scholar
                                                    Berggren, J. L. 1984(?). On the origins of al-Bīrūnī’s ‘Method of the Zījes’ in the theory of sundials. To appear in Centauras.Google Scholar
                                                    Berggren, J. L. 1985. Spherical trigonometry in the zīj of Kūshyār ibn Labbān. To appear in King and Saliba 1985.Google Scholar
                                                    Bulgakov, P. G. 1962. Ed. Taḥdīd nihāyāt al-amākin li-taṣḥīḥ masāfāt al-masākin. Published in “Majallat ma’had al-makhṭūṭāt al-’arabiyya.” Cairo: The Arab League.Google Scholar
                                                    Busard, H. L. L., and Konigsveld, P. S. van 1973. Der Liber de arcibus similibus des Ahmed ibn Jusuf. Annals of Science 30(4):381406.Google Scholar
                                                    Debarnot, M.-Th. 1978. Introduction du triangle polaire par Abū Naṣr b. ‘Irāq. Journal for the History of Arabic Science 2(1):12636.Google Scholar
                                                    Debarnot, M.-Th. 1980. Les Clefs d’astronomie d’Abū al-Rayḥān… al-Bīrūnī: La trigonometrie sphérique chez les arabes de l’est à la fin du Xe siècle. Thèse du 3eme cycle. Paris.Google Scholar
                                                    Djebbar, Ahmad 1981. Enseignement et recherche mathématiques dans le Maghreb des XIIIe-XIVe siècles. Publications mathématiques d’Orsay. Paris: Université de Paris-Sud.Google Scholar
                                                    Djebbar, Ahmad 1985. L’analyse combinatoire au Maghreb: l‘example d’ibn Mun‘im (XIIe-XIIIe siècles). Publications mathématiques d’Orsay. Paris: Université de Paris-Sud.Google Scholar
                                                    Ehrenkreutz, Andrew S. 1962. The kurr system in medieval Iraq. Journal Econ. Soc. Hist, of Orient 5:309314.Google Scholar
                                                    Ehrenkreutz, Andrew S. 1964. The taṣrīf and Tas‘īr calculations in medieval Mesopotamian fiscal operations. Journal Econ. Soc. Hist, of Orient 7:4656.Google Scholar
                                                    Engroff, J. W. 1980. The Arabic tradition of Euclid’s elements. Book V. Ph.D. dissertation, Harvard University.Google Scholar
                                                    Gandz, Solomon 1938. The algebra of inheritance. Osiris 5:31991.Google Scholar
                                                    Hamadanizadeh, Javad 1976. Medieval interpolation theory. Ph.D. Dissertation, Teacher’s College, Columbia University.Google Scholar
                                                    Hamadanizadeh, Javad 1978. Interpolation schemes in Dastūr al-Munajjimīn. Centauras 2(2):4452.Google Scholar
                                                    Hamadanizadeh, Javad 1980. The trigonometric tables of al-Kāshī in his Zīj-i khāqānī. Historia Mathematica 7:3845.CrossRefGoogle Scholar
                                                    Hartner, W. 1965. Al-Djabr wa’l-muḳābala. In Encyclopedia of Islam, ed. 2, vol. 2, 36062. Leiden: E. J. Brill.Google Scholar
                                                    Hermelink, Heinrich 1975. The earliest reckoning books existing in the Persian language. Historia Mathematica 2:299303.Google Scholar
                                                    Hermelink, Heinrich 1978. Arabische Unterhaltungsmathematik als Spiegel jahrtausendealter Kulturbeziehungen zwischen Ost und West. Janus 65:10517.Google Scholar
                                                    Hocheim, A. 1877–80. Trans. Al-Kāfī fīl ḥisāb. 3 pts. Halle/Saale.Google Scholar
                                                    Hogendijk, Jan P. 1981. How trisections of the angle were transmitted from Greek to Islamic geometry. Historia Mathematica 8:41738.Google Scholar
                                                    Hogendijk, Jan P. 1984a. Ibn al-Haytham’s completion of the Conics. Heidelberg: Springer Verlag.Google Scholar
                                                    Hogendijk, Jan P. 1984b. Greek and Arabic constructions of the regular heptagon. Archive for History of Exact Sciences 30:197330.Google Scholar
                                                    Hogendijk, Jan P. 1985. Thābit ibn Qurra knew the pair of amicable numbers 17296, 18146. To appear in Historia Mathematica.Google Scholar
                                                    Irani, R. A. K. 1956. The Jadwal al-taqwīm of Ḥabash al-Ḥāsib. Unpublished master’s dissertation, American University of Beirut.Google Scholar
                                                    Jaouiche, Khalil 1976. Ed. and trans. Le livre du qarasṭūn de Ṯābit ibn Qurra. Leiden: E. J. Brill.Google Scholar
                                                    Jensen, Claus 1971. Abū Naṣr Manṣūr’s approach to spherical astronomy as developed in his treatise “The table of minutes.” Centaurus 16(1):119.Google Scholar
                                                    Kennedy, Edward S. 1968. The exact sciences in Iran under the Saljuqs and Mongols. In Cambridge History of Iran, 5:65979. Cambridge: Cambridge University Press.Google Scholar
                                                    Kennedy, Edward S. 1969. An overview of the history of trigonometry. In Historical Topics for the Mathematics Classroom, 33359. Washington, D.C.: National Council of Teachers of Mathematics. Reprinted in Kennedy et al. 1983.Google Scholar
                                                    Kennedy, Edward S. 1970. The Arabic heritage in the exact sciences. Al-Abhath 23:32744. Reprinted in Kennedy et al. 1983.Google Scholar
                                                    Kennedy, Edward S. 1973. A commentary upon Biruni’s Kitāb taḥdīd al-amākin. Beirut: University of Beirut Press.Google Scholar
                                                    Kennedy, Edward S. 1976. The exhaustive treatise on shadows by Abū al-Rayḥān al-Bīrūnī. Vol. 1, trans., vol. 2, commentary. Aleppo: Institute for History of Arabic Science.Google Scholar
                                                    Kennedy, Edward S. 1984. Applied mathematics in the tenth century: Abu’l-Wafā’ calculates the distance Baghdad-Mecca. Historia Mathematica 11:193206.Google Scholar
                                                    Kennedy, Edward S., et al. 1983. Studies in the Islamic exact sciences. Beirut: American University of Beirut Press.Google Scholar
                                                    Kennedy, Edward S., and Debarnot, M.-Th. 1984(?). Two mappings proposed by Bīrūnī, . To appear in Zeitschrift fur Geschichte der arabisch-Islamischen Wissenschaften.Google Scholar
                                                    King, David A. 1972. The astronomical works of Ibn Yūnus. Ph.D. dissertation, Yale University.Google Scholar
                                                    King, David A. 1973. Al-Khalīlī’s auxiliary tables for solving problems of spherical astronomy. Journal for the History of Astronomy 4:99110.Google Scholar
                                                    King, David A. 1974a. On medieval multiplication tables. Historia Mathematica 1:31723. Reprinted in King 1985a.Google Scholar
                                                    King, David A. 1974b. An analog computer for solving problems of spherical astronomy. Archive internat, d’hist. des sciences 24:21942. Reprinted in King 1986.Google Scholar
                                                    King, David A. 1979a. Notes on the sources for the history of early Islamic mathematics. Journal of the American Oriental Society 99:45059.Google Scholar
                                                    King, David A. 1979b. Ḳibla. In Encyclopedia of Islam, ed. 2, vol. 5:8388. Leiden: E. J. Brill.Google Scholar
                                                    King, David A. 1979c. Supplementary notes on medieval Islamic multiplication tables. Historia Mathematica 6:40517. Reprinted in King 1985a.Google Scholar
                                                    King, David A. 1980. The exact sciences in medieval Islam: Some remarks on the present state of research. Middle East Studies Association Bulletin 14(1):1026.Google Scholar
                                                    King, David A. 1981, 1985(?). A catalog of the scientific manuscripts in the Egyptian National Library. 2 vols. Cairo: American Research Center in Egypt.Google Scholar
                                                    King, David A. 1981. Universal solutions in medieval Islamic astronomy. Abstract of talk, in Proceedings of the 16th Internat. Congress of the History of SciencePart A., 144. Bucharest: Acad, of the Socialist Republic of Romania.Google Scholar
                                                    King, David A. 1983a. The astronomy of the Mamluks. Isis 74:53155. Reprinted in King 1985a.Google Scholar
                                                    King, David A. 1983b. Al-Khwārizmī and new trends in mathematical astronomy in the ninth century. New York: Hagop Kevorkian Center for Near Eastern Studies, NYU.Google Scholar
                                                    King, David A. 1984. A survey of the scientific manuscripts in the Egyptian National Library. Malibu, Calif.: Undena Publ.Google Scholar
                                                    King, David A. 1985a. Islamic mathematical astronomy. London: Variorum Reprints.Google Scholar
                                                    King, David A. 1985b. Some early Islamic approximate methods for determining the Qibla. To appear in King and Saliba 1985.Google Scholar
                                                    King, David A. 1986. Islamic astronomical instruments. London: Variorum Reprints.Google Scholar
                                                    King, David A., and Saliba, George A. 1985. Eds. Festschrift: A volume of studies of the history of science in the Near East, dedicated to E. S. Kennedy. New York: New York Academy of Sciences. In press.Google Scholar
                                                    Knorr, Wilbur 1983. On the transmission of geometry from Greek into Arabic. Historia Mathematica 10:7178.Google Scholar
                                                    Lorch, Richard 1984. Qibla diagrams and associated instruments. To appear.Google Scholar
                                                    Lorch, Richard 1985. Al-Ṣaghānī’s treatise on projecting the sphere. To appear in King and Saliba 1985.Google Scholar
                                                    Luckey, P. 1951. Die Rechenkunst bei Ğamsīd b. Mas’ūd al-Kāshī. Abhandlungen fur die Kunde des Morgenlandes (Wiesbaden: Deutsche Morgenlandische Gesellschaft) 31.Google Scholar
                                                    Mach, Rudolf. 1977. Catalogue of Arabic manuscripts (Yahuda Collection) in the Garrett Collection, Princeton University. Indexed by McChesney, R. D.. Princeton: Princeton University Press.Google Scholar
                                                    Matvievskaya, Galina 1985. The theory of quadratic irrationals in medieval oriental mathematics. To appear in King and Saliba 1985.Google Scholar
                                                    Muwafi, Amin, and Philippou, A. N. 1981. An Arabic version of Eratosthenes on mean proportionals. Journal for the History of Arabic Science 5:14774.Google Scholar
                                                    Naini, Alireza Djafari 1982. Geschichte der Zahlentheorie im Orient. Braunschweig: Verlag Klose and Co.Google Scholar
                                                    Plooij, Edward B. 1950. Euclid’s conception of ratio… as criticized by Arabian commentators. Doctoral dissertation, Rijksuniversiteit te Leiden.Google Scholar
                                                    Rashed, Roshi 1972. L’induction mathématique: al-Karajī, as-Samaw’al. Archive for History of Exact Sciences 9:121.Google Scholar
                                                    Rashed, Roshi 1973. Algèbre et linguistique: l’analyse combinatoire dans la science arabe. In Boston Studies in the Philosophy of Sciences, ed. Cohen, R., 38399. Dordrecht: D. Reidel.Google Scholar
                                                    Rashed, Roshi 1974. Résolution des equations numériques et algèbre: Šaraf-al-Dīn al-Ṭūsī, Viète. Archive for the History of Exact Sciences 12:24490.Google Scholar
                                                    Rashed, Roshi 1975a. Ed. L’art de l’algèbre de Diophante. Cairo: Maṭabi’ al-hai’a al-miṣriyya al-’āmma al-kitāb.Google Scholar
                                                    Rashed, Roshi 1975b. Récommencements de l’algèbre au XIe et XIIe siècles. In The Cultural Context of Medieval Learning, ed. Murdoch, John E. and Sylla, Edith D., 3360. Dordrecht: D. Reidel.Google Scholar
                                                    Rashed, Roshi 1978. L’extraction de la racine nième et l’invention des fractions decimales (XIe-XIIe siècles). Archive for History of Exact Sciences 18:191243. Reprinted in Rashed 1984a.Google Scholar
                                                    Rashed, Roshi 1979a. L’analyse diophantienne au Xe siècle: l’example d’al-Khāzin. Rev. Histoire Sci. Appl. 32(3):193222. Reprinted in Rashed 1984a.Google Scholar
                                                    Rashed, Roshi 1979b. La construction de l’heptagone régulier par Ibn al-Haytham. Journal for the History of Arabic Science 3(2):30987.Google Scholar
                                                    Rashed, Roshi 1980. Ibn al-Haytham et le théorème de Wilson. Archive for History of Exact Sciences 22(4):30521. Reprinted in Rashed 1984a.Google Scholar
                                                    Rashed, Roshi 1983. Nombres amiables, parties aliquotes et nombres figurés au XIIIeme-XIVeme siècles. Archive for History of Exact Sciences 28(2):10747. Reprinted in Rashed 1984a.Google Scholar
                                                    Rashed, Roshi 1984a. Entre arithmétique et algèbre: recherches sur l’histoire des mathématiques arabes. Paris: Les Belles Lettres.Google Scholar
                                                    Rashed, Roshi 1984b. Ed. and trans. Diophante: les arithmétiques. Tome III (livre IV), tome IV (livres V, VI, VII). Paris: Les Belles Lettres.Google Scholar
                                                    Rashed, Roshdi, and Djebbar, Ahmad 1981. L’Œuvre algébrique d’al-Khayyām. Aleppo: Institute for the History of Arabic Science.Google Scholar
                                                    Richter-Bernburg, Lutz 1982. Al-Bīrūnī’s Maqāla fī tasṭīḥ al-ṣuwar wa-tabṭīkh al-kuwar. Journal for the History of Arabic Science 6:11322.Google Scholar
                                                    Rosenfeld, Boris A. 1978. Review of Fuat Sezgin’s Geschiehte des arabischen Schrifttums, Bd. 5. Archives Internat. Hist. Sciences 28:32529.Google Scholar
                                                    Rozhanskaya, Miriam 1985. On a mathematical problem in al-Khāzinī’s Book of the Balance of Wisdom. To appear in King and Saliba 1985.Google Scholar
                                                    Rozhanskaya, Miriam, and Rosenfeld, Boris A. 1985. On al-Bīrūnī’s Densimetry. To appear in King and Saliba 1985.Google Scholar
                                                    Sabra, A. I. 1968. Thābit ibn Qurra on Euclid’s parallels postulate. Journal of the Warburg and Courtauld Institutes 31:1232.Google Scholar
                                                    Sabra, A. I. 1969. Simplicius’s proof of Euclid’s parallels postulate. Journal of the Warburg and Courtauld Institutes 32:124.CrossRefGoogle Scholar
                                                    Sabra, A. I. 1971. Ilm al-ḥisāb. In Encyclopedia of Islam, ed. 2, vol. 3:113841.Google Scholar
                                                    Sabra, A. I. 1982. Ibn al-Haytham’s lemmas for solving ‘Alhazen’s problem.’ Archive for History of Exact Sciences 26:299324.Google Scholar
                                                    Sabra, A. I. 1983. Ed. Kitāb al-manāẓir (The Optics of Ibn al-Haytham). Arabic text of books 1, 2, and 3 on direct vision. Kuwait: National Council for Culture, Arts, and Letters, Arabic Heritage Dept.Google Scholar
                                                    Saidan, Ahmad S. 1966. The earliest extant Arabic arithmetic. Isis 57:47590. See also Saidan, 1978a.Google Scholar
                                                    Saidan, Ahmad S. 1971. Ilm al-ḥisāb al-’Arabī: ḥisāb al-yad (Arabic arithmetic: The Arithmetic of Abū al-Wafā’ al-Būzjānī). Amman: Jam’īat ‘ummāl al-maṭābi’ al-ta’āwunīyat.Google Scholar
                                                    Saidan, Ahmad S. 1974. The arithmetic of Abu’l-Wafā. Isis 65:36775.Google Scholar
                                                    Saidan, Ahmad S. 1977a. Ed. Kitāb al-a’dād al-mutaḥābbat li-Thãbit ibn Qurra (Amicable numbers, by Thābit ibn Qurra). Amman: The Jordanian University.Google Scholar
                                                    Saidan, Ahmad S. 1977b. Ed. Kitāb tasṭīḥ al-ṣuwar wa tabṭīh al-kuwar li-Abi all-Rayḥān al-Bīrūnī. Dirāsāt (Amman: The Jordanian University) 4:722.Google Scholar
                                                    Saidan, Ahmad S. 1978a. The arithmetic of al-Uqlīdisī. The story of Hindu-Arabic arithmetic as told in Kitāb al-fuṣūl fī al-ḥisāb al-hindī by Abū al-Ḥasan Aḥmad ibn Ibrāhīm al-Uqlīdisī. Dordrecht: D. Reidel.Google Scholar
                                                    Saidan, Ahmad S. 1978b. Ḥawl khawāṣṣ al-a’dād li-Abī Ja’far, Muḥammad ibn al-Ḥusain (Theorems in number theory, by Abū Ja’far Muḥammad ibn al-Ḥusain). Dirāsāt (December), 749.Google Scholar
                                                    Saidan, Ahmad S. 1985. The Takmila fīal-ḥisāb by al-Baghdādī, . To appear in King and Saliba 1985.Google Scholar
                                                    Saliba, George A. 1973. The meaning of al-jabr wa’l-muqābalah. Centauras 17:189204. Reprinted in Kennedy et al. 1983.Google Scholar
                                                    Saliba, George A. 1976. The double-argument tables of Cyriacus. Journal for the History of Astronomy. 7:4146.Google Scholar
                                                    Saliba, George A. 1977a. Asālib ḥisābat al-jadāwal al-falakīyat al-islāmīyat. Proceedings of the First International Symposium for the History of Arabic Science, vol. 1 (papers in Arabic), 27594. Aleppo: University of Aleppo Press.Google Scholar
                                                    Saliba, George A. 1977b. Computational techniques in a set of late medieval astronomical tables. Journal for the History of Arabic Science 1(1):2432.Google Scholar
                                                    Sesiano, Jacques 1977a. Le traitement des equations indéterminées dans le Badī’ fī’l-ḥisāb d’Abū Bakr al-Karajī. Archive for History of Exact Sciences 17(4):297379.Google Scholar
                                                    Sesiano, Jacques 1977b. Les méthodes d’analyse indéterminée chez Abū Kāmil. Centauras 21(2): 89105.CrossRefGoogle Scholar
                                                    Sesiano, Jacques 1979. Note sur trois théorèmes de mécanique d’al-Quhi et leur conséquence. Centaurus 22(4):28197.Google Scholar
                                                    Sesiano, Jacques 1980. Herstellungsverfahren magischer Quadrate aus islamischer Zeit (I). Sudhoffs Archiv 64(2):18796.Google Scholar
                                                    Sesiano, Jacques 1981. Herstellungsverfahren magischer Quadrate aus islamischer Zeit (II). Sudhoffs Archiv 65(3):25165.Google Scholar
                                                    Sesiano, Jacques 1982. Books IV to VII of Diophantus’ Arithmetica in the Arabic translation attributed to Qusṭā ibn Lūqā Heidelberg: Springer Verlag.Google Scholar
                                                    Sesiano, Jacques 1985. A treatise by al-Qabīṣī (Alchabitius) on arithmetical series. To appear in King and Saliba 1985.Google Scholar
                                                    Sezgin, Fuat 1974, 1978. Geschichte des arabischen Schrifttums. 5. Mathematik; 6. Astronomie. Leiden: E. J. Brill.Google Scholar
                                                    Suter, H. 1922. Über die Projektion der Sternbilder und der Länder von al-Bīrūnī. Abh. zur Gesch. der Naturwiss., Erlangen, 4:7993.Google Scholar
                                                    Tee, Garry 1977. Letter to the editor: On computational techniques. Journal for the History of Arabic Science 1(2):32324.Google Scholar
                                                    Tekeli, Sevim 1968. ‘The duplication of the cube’ Zail-i Tahrir al Uqlidas, Majmua’ and Muntahâ, Sidra al. In Proceedings of the 12th International Congress of the History of Science, 13740. Paris.Google Scholar
                                                    Tichenor, Mark J. 1967. Late medieval two-argument tables for planetary longitudes. Journal of Near Eastern Studies 26:12628. Reprinted in Kennedy et al. 1983.Google Scholar
                                                    Toomer, G. J. 1976. Diocles on burning mirrors: An Arabic translation of the lost Greek original. Heidelberg: Springer Verlag.Google Scholar
                                                    Villuendas, M. V. 1979. La trigonometria europea en el siglo XI: Estudio de la obra de ibn Mu’āḏ El kitāb mayhūlāt. Barcelona: Instituto de Historia de la Ciencia de la Real Academia de Buenas Letras.Google Scholar
                                                    Wieber, R. 1972. Das Schachspiel in der arabischen Literatur von den Anfangen bis zur zweiten Halfte des 16. Jahrhunderts. Dissertation, University of Bonn.Google Scholar
                                                    Woepcke, F. 1861. Recherches sur plusieurs ouvrages de Léonard de Pise. Atti dell’Academia Pontificia dei nuovi Lincei 14:21127, 24169, 30124, 34356.Google Scholar
                                                    Yadegari, Mohammed 1978. The binomial theorem described by Amir Kalan al-Bukhari circa 1297 AD. Islamic Quarterly 2022:3639.Google Scholar
                                                    Yadegari, Mohammed 1980. The binomial theorem: A widespread concept in medieval mathematics. Historia Mathematica 7:401406.Google Scholar
                                                    De Young, Gregg 1981. The arithmetic books of Euclid’s Elements in the Arabic tradition. Ph.D. dissertation, Harvard University.Google Scholar
                                                    De Young, Gregg 1984. The Arabic textual traditions of Euclid’s Elements. Historia Mathematica 11:14760.Google Scholar
                                                    Youschevitch, Adolf P. 1976. Les mathématiques arabes (VIIIe-XVe siècles). Trans. Cazenave, M. and Jaouiche, K.. Paris: J. Vrin.Google Scholar
                                                    Cited by
                                                    This article has been cited by the following publications. This list is generated based on data provided by Crossref.

                                                    King, David A 1986. Studies in the exact sciences in medieval Islam. Historia Mathematica, Vol. 13, Issue. 3, p. 303.

                                                    Daiber, Hans 1990. Technik und Religion. p. 102.

                                                    Berggren, J.Lennart 1997. Mathematics and Her Sisters in Medieval Islam: A Selective Review of Work Done from 1985 to 1995. Historia Mathematica, Vol. 24, Issue. 4, p. 407.

                                                    Berggren, J. Lennart 2014. From Alexandria, Through Baghdad. p. 73.

                                                    Djebbar, Ahmed 2014. From Alexandria, Through Baghdad. p. 275.

                                                    Johnson, Jason D. and Corey, Darryl 2020. Reaching the 21st century students in the United Arab Emirates: using Ethnomathematics through #Innovation. Revemop, Vol. 2, Issue. , p. e202012.

                                                    Johnson, Jason D. Smail, Linda Corey, Darryl and Jarrah, Adeeb M. 2022. Using Bayesian Networks to Provide Educational Implications: Mobile Learning and Ethnomathematics to Improve Sustainability in Mathematics Education. Sustainability, Vol. 14, Issue. 10, p. 5897.

                                                    ×
                                                    ×
                                                    Morty Proxy This is a proxified and sanitized view of the page, visit original site.

                                                    Save article to Kindle

                                                    To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about saving to your Kindle.

                                                    Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

                                                    Find out more about the Kindle Personal Document Service.

                                                    History of Mathematics in the Islamic World: The Present State of the Art
                                                    Available formats
                                                    ×

                                                    Save article to Dropbox

                                                    To save this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about saving content to Dropbox.

                                                    History of Mathematics in the Islamic World: The Present State of the Art
                                                    Available formats
                                                    ×

                                                    Save article to Google Drive

                                                    To save this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about saving content to Google Drive.

                                                    History of Mathematics in the Islamic World: The Present State of the Art
                                                    Available formats
                                                    ×
                                                    ×

                                                    Reply to: Submit a response

                                                    Contents help

                                                    - No HTML tags allowed
                                                    - Web page URLs will display as text only
                                                    - Lines and paragraphs break automatically
                                                    - Attachments, images or tables are not permitted

                                                    Please enter your response.

                                                    Your details

                                                    Email help

                                                    Your email address will be used in order to notify you when your comment has been reviewed by the moderator and in case the author(s) of the article or the moderator need to contact you directly.

                                                    Please enter a valid email address.

                                                    You have entered the maximum number of contributors

                                                    Conflicting interests

                                                    Do you have any conflicting interests? * Conflicting interests help

                                                    Please list any fees and grants from, employment by, consultancy for, shared ownership in or any close relationship with, at any time over the preceding 36 months, any organisation whose interests may be affected by the publication of the response. Please also list any non-financial associations or interests (personal, professional, political, institutional, religious or other) that a reasonable reader would want to know about in relation to the submitted work. This pertains to all the authors of the piece, their spouses or partners.