Brummelen, Glen Van (Author)
Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation for its elegant proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams that have been used to teach the subject in the past. This unique compendium also features easy-to-use appendixes as well as exercises at the end of each chapter that originally appeared in textbooks from the eighteenth to the early twentieth centuries.
...MoreReview Craig Fraser (2017) Review of "Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry". Historia Mathematica (pp. 71-73).
Review Ortiz de Landázuri, Carlos (2013) Review of "Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry". Llull: Revista de la Sociedad Española de Historia de las Ciencias y de las Técnicas (p. 488).
Essay Review Hamm, Elizabeth A. (2014) Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry. Aestimatio: Critical Reviews in the History of Science (pp. 127-130).
Review Hogendijk, Jan P. (2014) Review of "Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry". Isis: International Review Devoted to the History of Science and Its Cultural Influences (pp. 207-208).
Essay Review Steele, John M. (2014) A Forgotten Discipline. Metascience: An International Review Journal for the History, Philosophy and Social Studies of Science (pp. 277-279).
Review Villiers, Michael de (2015) Review of "Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry". European Legacy (pp. 560-561).
Book
Rashed, Roshdi;
(2006)
Ibn al-Haytham: Astronomie, géométrie sphérique et trigonométrie
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Book
Theodosius, ;
Kunitzsch, Paul;
Lorch, Richard;
(2010)
Sphaerica: Arabic and Medieval Latin Translations
(/isis/citation/CBB001023209/)
Article
Brummelen, Glen van;
(2010)
Filling in the Short Blanks: Musings on Bringing the Historiography of Mathematics to the Classroom
(/isis/citation/CBB000933564/)
Chapter
Andrea Bréard;
Annick Horiuchi;
(2014)
History of Mathematics Education in East Asia in Premodern Times
(/isis/citation/CBB183789002/)
Chapter
Boulahia, Néjib;
(2007)
Quelques contributions arabes en trigonométrie sphérique
(/isis/citation/CBB001024046/)
Thesis
Fiss, Andrew;
(2011)
Professing Mathematics: Science and Education in Nineteenth-Century America
(/isis/citation/CBB001562818/)
Book
Romano Gatto;
(2010)
Libri di matematica a Napoli nel Settecento. Editoria, fortuna e diffusione delle opere
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Article
Tinne Hoff Kjeldsen;
Jesper Lützen;
(2015)
Interactions Between Mathematics and Physics: The History of the Concept of Function—Teaching with and About Nature of Mathematics
(/isis/citation/CBB766129464/)
Book
Canas, António Costa;
Ferrão, Maria Eugénia;
(2009)
A Matemática no Tempo do Mestre José Vizinho
(/isis/citation/CBB001451027/)
Article
Amini, Hasan;
(2013)
Spherical Interpretation of Plane Geometry in Menelaus of Alexandria's Sphaerica
(/isis/citation/CBB001510295/)
Essay Review
Plofker, Kim;
(2013)
Essay Review: A Passage to Infinity: The Contribution of Kerala to Modern Mathematics
(/isis/citation/CBB001566545/)
Chapter
Evelyne Barbin;
Marta Menghini;
(2014)
History of Teaching Geometry
(/isis/citation/CBB399448109/)
Article
Plofker, Kim;
(2000)
The Astrolabe and Spherical Astronomy in Medieval India
(/isis/citation/CBB000671357/)
Chapter
Mohammad Al-Houjairi;
(2012)
Sur le théorème de Ménélaüs et ses applications dans les Sphériques de l'Istikmāl d'Ibn Hūd
(/isis/citation/CBB755088614/)
Article
Masià-Fornos, Ramon;
(2010)
A “Lacuna” in Proposition 9 of Archimedes' On the Sphere and the Cylinder, Book I
(/isis/citation/CBB001022152/)
Article
Fabio Acerbi;
(2015)
Traces of Menelaus' Sphaerica in Greek Scholia to the Almagest
(/isis/citation/CBB601231113/)
Article
Virginia Iommi Echeverría;
(2016)
Copernicus and the Problem of Elemental Proportion in Renaissance Cosmology
(/isis/citation/CBB912586648/)
Book
Theodosius, ;
(2010)
Theodosius, Sphaerica: Arabic and Medieval Latin Translations
(/isis/citation/CBB001210412/)
Article
Malpangotto, Michela;
(2010)
Graphical Choices and Geometrical Thought in the Transmission of Theodosius' Spherics from Antiquity to the Renaissance
(/isis/citation/CBB000932988/)
Article
Abardia, Judit;
Reventós, Agustí;
Rodríguez, Carlos J.;
(2012)
What Did Gauss Read in the Appendix?
(/isis/citation/CBB001251202/)
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