Edit Profile (opens in new tab) Berggren, John Lennart Co-Author Distance Author ID: berggren.john-lennart Published as: Berggren, J. L.; Berggren, J. Lennart; Berggren, Lennart; Berggren, J. Len; Berggren, John Lennart; Berggren, John L. more...less Homepage: http://people.math.sfu.ca/~berggren/main.html External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 52 Publications since 1969, including 7 Books 4 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 13 Co-Authors with 22 Joint Publications 424 Co-Co-Authors all top 5 Co-Authors 33 single-authored 8 Van Brummelen, Glen Robert 6 al-Qūhī 3 Borwein, Jonathan Michael 3 Borwein, Peter Benjamin 3 Thomas, Robert S. D. 2 Katz, Victor Joseph 2 Sidoli, Nathan Camillo 1 Aaboe, Asger Hartvig 1 Alspach, Brian R. 1 Dauben, Joseph Warren 1 Folkerts, Menso 1 Hogendijk, Jan Pieter 1 Hughes, Barnabas Bernard 1 Warner, Annette 1 Jones, Alexander Raymond 1 Maximus Planudes 1 Plofker, Kim 1 Claudius Ptolemaeus 1 Robson, Eleanor 1 Wagner, Roy all top 5 Serials 5 Centaurus 5 Historia Mathematica 3 Archive for History of Exact Sciences 3 Zeitschrift für Geschichte der Arabisch-Islamischen Wissenschaften 3 Journal for the History of Arabic Science 2 Bulletin of the Australian Mathematical Society 2 Pacific Journal of Mathematics 2 Physis. Nuova Serie 2 SCIAMVS 2 Suhayl 1 Canadian Mathematical Bulletin 1 History of Mathematics (Providence) all top 5 Fields 52 History and biography (01-XX) 6 Number theory (11-XX) 5 Astronomy and astrophysics (85-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Geometry (51-XX) 3 Group theory and generalizations (20-XX) 3 Mathematics education (97-XX) 2 Field theory and polynomials (12-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 143 times in 127 Documents Cited by ▼ Year ▼ Episodes in the mathematics of medieval Islam. Zbl 0626.01001 Berggren, J. L. 17 1986 Pi: a source book. 3rd ed. Zbl 1054.11001 15 2004 The mathematics of Egypt, Mesopotamia, China, India, and Islam. A sourcebook. Zbl 1118.01001 13 2007 Finite groups in which every element is conjugate to its inverse. Zbl 0172.03101 Berggren, J. L. 13 1969 An algebraic characterization of symmetric graphs with a prime number of vertices. Zbl 0228.05113 Berggren, J. L. 13 1972 Pi: a source book. Zbl 0876.11001 11 1997 Pi: a source book. 2nd ed. Zbl 1039.11001 8 2000 Ptolemy’s Geography. An annotated translation of the theoretical chapter. Zbl 0987.01001 Berggren, J. Lennart; Jones, Alexander 8 2000 An algebraic characterization of finite symmetric tournaments. Zbl 0222.05109 Berggren, J. L. 7 1972 Aristarchus’s on the sizes and distances of the sun and the moon: Greek and Arabic texts. Zbl 1123.01004 Berggren, J. L.; Sidoli, Nathan 6 2007 History of Greek mathematics: a survey of recent research. Zbl 0554.01004 Berggren, J. L. 5 1984 The role and development of geometric analysis and synthesis in ancient Greece and Medieval Islam. Zbl 1011.01003 Berggren, J. L.; Van Brummelen, Glen 4 2000 Solvable and supersolvable groups in which every element is conjugate to its inverse. Zbl 0195.04002 Berggren, J. L. 4 1971 The Arabic version of Ptolemy’s Planisphere or flattening the surface of the sphere: text, translation, commentary. Zbl 1137.01005 Sidoli, Nathan; Berggren, J. L. 2 2007 From Euclid to Apollonius: al-Kūhī’s lemmas to the Conics. Zbl 1187.01005 Berggren, J. Lennart; Van Brummelen, Glen 2 2003 Euclid’s Phaenomena. A translation and study of a Hellenistic treatise in spherical astronomy. Zbl 0898.01005 Berggren, J. L.; Thomas, R. S. D. 2 1996 Spurious theorems in Archimedes’ Equilibrium of Planes: Book I. Zbl 0359.01003 Berggren, J. L. 2 1976 Mathematics and her sisters in Medieval Islam: A selective review of work done from 1985 to 1995. Zbl 0891.01017 Berggren, J. Lennart 2 1997 Ptolemy’s maps of Earth and the heavens: a new interpretation. Zbl 0778.01001 Berggren, J. L. 2 1991 Didactical and other remarks on some theorems of Archimedes and infinitesimals. Zbl 0861.01004 Aaboe, A.; Berggren, J. L. 2 1996 Greek and Islamic elements in Arabic mathematics. Zbl 0925.01011 Berggren, J. L. 2 1992 Sourcebook in the mathematics of medieval Europe and North Africa. Zbl 1356.01001 2 2016 Al-Kūhī’s “Filling a lacuna in book II of Archimedes” in the version of Naṣīr al-Dīn al-Ṭūsī. Zbl 0853.01005 Berggren, J. L. 1 1996 Tenth-century mathematics through the eyes of Abū Sahl al-Kūhī. Zbl 1067.01521 Berggren, J. Lennart 1 2003 Spherical trigonometry in Kūshyār ibn Labbān’s Jāmi‘ Zīj. Zbl 0887.01004 Berggren, J. Lennart 1 1987 A lacuna in Book I of Archimedes’ Sphere and Cylinder. Zbl 0359.01004 Berggren, J. L. 1 1977 Abū Sahl al-Kūhī’s “On the ratio of the segments of a single line that falls on three lines”. Zbl 0962.01002 Berggren, J. L.; Van Brummelen, G. 1 2000 Episodes in the mathematics of medieval Islam. 1st paperback ed. Zbl 1115.01004 Berggren, J. L. 1 2003 On the determination of the maximum order of the group of a tournament. Zbl 0253.05125 Alspach, Brian; Berggren, J. L. 1 1973 Euclid’s Phaenomena. A translation and study of a Hellenistic treatise in spherical astronomy. Reprint of the 1996 original. Zbl 1144.01003 Berggren, J. L.; Thomas, R. S. D. 1 2006 Medieval Islamic methods for drawing azimuth circles on the astrolabe. Zbl 0850.01003 Berggren, J. L. 1 1991 Mathematical astronomy in the fourth century B.C. as found in Euclid’s Phaenomena. Zbl 0772.01001 Berggren, J. L.; Thomas, Robert S. D. 1 1992 Abū Sahl al-Kūhī’s treatise on the construction of the astrolabe with proof: text, translation and commentary. Zbl 0814.01004 Berggren, J. L. 1 1994 Ḥabash’s analemma for representing azimuth circles on the astrolabe. Zbl 1238.01011 Berggren, J. L. 1 1992 Abū Sahl al-Kūhī’s “On drawing two lines from a point at a known angle”. Zbl 1017.01002 Berggren, J. L.; Van Brummelen, G. 1 2001 History of mathematics in the Islamic world: the present state of the art [1985]. Zbl 1284.01023 Berggren, J. Lennart 1 2014 Sourcebook in the mathematics of medieval Europe and North Africa. Zbl 1356.01001 2 2016 History of mathematics in the Islamic world: the present state of the art [1985]. Zbl 1284.01023 Berggren, J. Lennart 1 2014 The mathematics of Egypt, Mesopotamia, China, India, and Islam. A sourcebook. Zbl 1118.01001 13 2007 Aristarchus’s on the sizes and distances of the sun and the moon: Greek and Arabic texts. Zbl 1123.01004 Berggren, J. L.; Sidoli, Nathan 6 2007 The Arabic version of Ptolemy’s Planisphere or flattening the surface of the sphere: text, translation, commentary. Zbl 1137.01005 Sidoli, Nathan; Berggren, J. L. 2 2007 Euclid’s Phaenomena. A translation and study of a Hellenistic treatise in spherical astronomy. Reprint of the 1996 original. Zbl 1144.01003 Berggren, J. L.; Thomas, R. S. D. 1 2006 Pi: a source book. 3rd ed. Zbl 1054.11001 15 2004 From Euclid to Apollonius: al-Kūhī’s lemmas to the Conics. Zbl 1187.01005 Berggren, J. Lennart; Van Brummelen, Glen 2 2003 Tenth-century mathematics through the eyes of Abū Sahl al-Kūhī. Zbl 1067.01521 Berggren, J. Lennart 1 2003 Episodes in the mathematics of medieval Islam. 1st paperback ed. Zbl 1115.01004 Berggren, J. L. 1 2003 Abū Sahl al-Kūhī’s “On drawing two lines from a point at a known angle”. Zbl 1017.01002 Berggren, J. L.; Van Brummelen, G. 1 2001 Pi: a source book. 2nd ed. Zbl 1039.11001 8 2000 Ptolemy’s Geography. An annotated translation of the theoretical chapter. Zbl 0987.01001 Berggren, J. Lennart; Jones, Alexander 8 2000 The role and development of geometric analysis and synthesis in ancient Greece and Medieval Islam. Zbl 1011.01003 Berggren, J. L.; Van Brummelen, Glen 4 2000 Abū Sahl al-Kūhī’s “On the ratio of the segments of a single line that falls on three lines”. Zbl 0962.01002 Berggren, J. L.; Van Brummelen, G. 1 2000 Pi: a source book. Zbl 0876.11001 11 1997 Mathematics and her sisters in Medieval Islam: A selective review of work done from 1985 to 1995. Zbl 0891.01017 Berggren, J. Lennart 2 1997 Euclid’s Phaenomena. A translation and study of a Hellenistic treatise in spherical astronomy. Zbl 0898.01005 Berggren, J. L.; Thomas, R. S. D. 2 1996 Didactical and other remarks on some theorems of Archimedes and infinitesimals. Zbl 0861.01004 Aaboe, A.; Berggren, J. L. 2 1996 Al-Kūhī’s “Filling a lacuna in book II of Archimedes” in the version of Naṣīr al-Dīn al-Ṭūsī. Zbl 0853.01005 Berggren, J. L. 1 1996 Abū Sahl al-Kūhī’s treatise on the construction of the astrolabe with proof: text, translation and commentary. Zbl 0814.01004 Berggren, J. L. 1 1994 Greek and Islamic elements in Arabic mathematics. Zbl 0925.01011 Berggren, J. L. 2 1992 Mathematical astronomy in the fourth century B.C. as found in Euclid’s Phaenomena. Zbl 0772.01001 Berggren, J. L.; Thomas, Robert S. D. 1 1992 Ḥabash’s analemma for representing azimuth circles on the astrolabe. Zbl 1238.01011 Berggren, J. L. 1 1992 Ptolemy’s maps of Earth and the heavens: a new interpretation. Zbl 0778.01001 Berggren, J. L. 2 1991 Medieval Islamic methods for drawing azimuth circles on the astrolabe. Zbl 0850.01003 Berggren, J. L. 1 1991 Spherical trigonometry in Kūshyār ibn Labbān’s Jāmi‘ Zīj. Zbl 0887.01004 Berggren, J. Lennart 1 1987 Episodes in the mathematics of medieval Islam. Zbl 0626.01001 Berggren, J. L. 17 1986 History of Greek mathematics: a survey of recent research. Zbl 0554.01004 Berggren, J. L. 5 1984 A lacuna in Book I of Archimedes’ Sphere and Cylinder. Zbl 0359.01004 Berggren, J. L. 1 1977 Spurious theorems in Archimedes’ Equilibrium of Planes: Book I. Zbl 0359.01003 Berggren, J. L. 2 1976 On the determination of the maximum order of the group of a tournament. Zbl 0253.05125 Alspach, Brian; Berggren, J. L. 1 1973 An algebraic characterization of symmetric graphs with a prime number of vertices. Zbl 0228.05113 Berggren, J. L. 13 1972 An algebraic characterization of finite symmetric tournaments. Zbl 0222.05109 Berggren, J. L. 7 1972 Solvable and supersolvable groups in which every element is conjugate to its inverse. Zbl 0195.04002 Berggren, J. L. 4 1971 Finite groups in which every element is conjugate to its inverse. Zbl 0172.03101 Berggren, J. L. 13 1969 all cited Publications top 5 cited Publications all top 5 Cited by 162 Authors 7 Sidoli, Nathan Camillo 5 Chen, Chaoping 4 Berggren, John Lennart 4 Guillera, Jesús 3 Borwein, Peter Benjamin 3 Grabiner, Judith Victor 3 Saito, Ken 3 Xu, Mingyao 2 Agarwal, Ravi P. 2 Alspach, Brian R. 2 Bailey, David Harold 2 Borwein, Jonathan Michael 2 Boussairi, Abderrahim 2 Carman, Christián Carlos 2 Chao, Chong-Yun 2 Christianidis, Jean P. 2 Deng, Ji’en 2 Dobson, Edward 2 Han, Xuefeng 2 Hogendijk, Jan Pieter 2 Høyrup, Jens 2 Kim, Hyang Sook 2 Knorr, Wilbur Richard 2 Lampret, Vito 2 Montelle, Clemency 2 Morris, Joy 2 Panzone, Pablo Andrés 2 Sen, Syamal Kumar 2 Simonson, Shai 2 Van Brummelen, Glen Robert 1 Abrarov, Sanjar M. 1 Agarwal, Hans 1 al-Qūhī 1 Apicella, Salvatore 1 Aragón Artacho, Francisco Javier 1 Arlinghaus, F. A. 1 Ashrafi, Ali Reza 1 Astie, Annie 1 Aydin, Nuh 1 Babai, László 1 Baik, Young-Gheel 1 Bajri, Sanaa 1 Ban, Tao 1 Belshaw, Adrian 1 Berkovich, Alex 1 Bodner, B. Lynn 1 Bölcskei, Attila 1 Boushabi, Badr 1 Bowen, Alan C. 1 Bullynck, Maarten 1 Bump, Daniel 1 Calugareanu, Grigore Dumitru jun. 1 Campbell, John Maxwell 1 Carthel, C. 1 Chan, Heng Huat 1 Chapman, Scott Thomas 1 Chen, Xiaoyou 1 Cheng, Ying 1 Chong, Terence Tai-Leung 1 Chu, Wenchang 1 Chunikhin, Sergeĭ Antonovich 1 Ciocci, Argante 1 Conder, Marston Donald Edward 1 Cotte, Pascal 1 De Young, Gregg 1 Docampo Rey, Javier 1 Dold-Samplonius, Yvonne 1 Edalat, Abbas 1 Faris e Soares, Eliana 1 Fehér, Krisztina 1 Felipe, María José 1 Feng, Yanquan 1 Friedmann, Tamar 1 Fuller, A. Thomas 1 Gao, Yinling 1 García-Caballero, Esther M. 1 Ginzburg, David 1 Glowinski, Roland 1 Goldstein, Bernard R. 1 Gow, Roderick 1 Graßhoff, Gerd 1 Grove, Larry C. 1 Gysembergh, Victor 1 Hagen, C. R. 1 Halmos, Balázs 1 Hammoudi, Lakhdar 1 Hannah, John M. 1 Hong, You 1 Ito, Noboru 1 Iwasaki, Shiro 1 Jagpal, Rajinder K. 1 Jones, Gareth A. 1 Kharazmi, Mahsa 1 Kim, Mi Yeoun 1 Koorepazan-Moftakhar, Fatemeh 1 Lee, Joonkyung 1 Levin, Aaron 1 Li, Xuewen 1 Li, Yali 1 Lin, Long ...and 62 more Authors all top 5 Cited in 58 Serials 20 Historia Mathematica 16 Archive for History of Exact Sciences 6 Discrete Mathematics 4 The Ramanujan Journal 3 Centaurus 3 Rocky Mountain Journal of Mathematics 3 The Mathematical Intelligencer 3 Archiv der Mathematik 3 Journal of Combinatorial Theory. Series B 3 Nexus Network Journal 2 The Mathematical Gazette 2 Periodica Mathematica Hungarica 2 Journal of Algebra 2 Mathematical and Computer Modelling 2 Journal of Inequalities and Applications 2 Acta Mathematica Sinica. English Series 2 BSHM Bulletin 2 East Asian Mathematical Journal 1 American Mathematical Monthly 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Journal of Mathematical Physics 1 Mathematics of Computation 1 Mathematics Magazine 1 Advances in Mathematics 1 Gaṇita 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Parallel Computing 1 Graphs and Combinatorics 1 Information and Computation 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Journal of Algebraic Combinatorics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Doklady Mathematics 1 Algebras and Representation Theory 1 Journal of Integer Sequences 1 Integers 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Advances in Difference Equations 1 Oberwolfach Reports 1 The College Mathematics Journal 1 Applicable Analysis and Discrete Mathematics 1 Science in Context 1 Asian-European Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 AIMS Mathematics all top 5 Cited in 33 Fields 59 History and biography (01-XX) 24 Number theory (11-XX) 24 Group theory and generalizations (20-XX) 21 Combinatorics (05-XX) 10 Special functions (33-XX) 10 Sequences, series, summability (40-XX) 5 General and overarching topics; collections (00-XX) 5 Geometry (51-XX) 4 Approximations and expansions (41-XX) 4 Numerical analysis (65-XX) 4 Astronomy and astrophysics (85-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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