Abeles, Francine F. (Author)
There is growing interest in the mathematics of Charles L. Dodgson, alias Lewis Carroll (1832–1898). His contributions to geometry, algebra, logic, voting theory and recreational mathematics have been reviewed in recent literature. Dodgson’s work in trigonometry is less known. He wrote his initial work on trigonometry, a pamphlet titled The Formulae of Plane Trigonometry, out of concern for his students to ease their studying burden and to improve their performance on examinations. Notable for its precision and completeness, it has all the tell-tale characteristics we associate with the serious mathematical writings he produced throughout his lifetime. He designed his later trigonometric work as the legatee of Augustus De Morgan’s correspondence with would-be circle squarers to appeal to and be understood by these mathematical dilettantes. This paper surveys Dodgson’s trigonometric work and what it teaches us about Dodgson’s mathematical practices. Keywords: British mathematics, Charles L. Dodgson, circle-squaring, nineteenth century, trigonometry
...More
Book
David S. Richeson;
(2019)
Tales of Impossibility: The 2000-Year Quest to Solve the Mathematical Problems of Antiquity
(/isis/citation/CBB243851906/)
Book
Robin Wilson;
Amirouche Moktefi;
(2019)
The Mathematical World of Charles L. Dodgson
(/isis/citation/CBB549238387/)
Article
J. Marshall Unger;
(2020)
On the Acceptance of Trigonometry in Wasan: Evidence from a Text of Aida Yasuaki
(/isis/citation/CBB847455647/)
Article
Amirouche Moktefi;
(2018)
Did Lewis Carroll Own a Copy of George Boole's Laws of Thought? An Argument from the Sale Catalogues
(/isis/citation/CBB764672821/)
Chapter
Probst, Siegmund;
(2008)
Neues über Leibniz' Abhandlung zur Kreisquadratur
(/isis/citation/CBB000950169/)
Article
Lit, L. W. C van;
(2011)
Naṣīr al-Dīn al- ūsī's Version of The Measurement of the Circle of Archimedes from his Revision of the Middle Books
(/isis/citation/CBB001510323/)
Book
Davide Crippa;
(2019)
The Impossibility of Squaring the Circle in the 17th Century: A Debate Among Gregory, Huygens and Leibniz
(/isis/citation/CBB805052525/)
Article
Menso Folkerts;
Dieter Launert;
Andreas Thom;
(2016)
Jost Bürgi's Method for Calculating Sines
(/isis/citation/CBB959532661/)
Chapter
Andrea Bréard;
Annick Horiuchi;
(2014)
History of Mathematics Education in East Asia in Premodern Times
(/isis/citation/CBB183789002/)
Chapter
Walter Purkert;
(2015)
On Cantor’s Continuum Problem and Well Ordering: What really happened at the 1904 International Congress of Mathematicians in Heidelberg
(/isis/citation/CBB550638215/)
Book
J.L. Berggren;
(2016)
Episodes in the Mathematics of Medieval Islam
(/isis/citation/CBB283154466/)
Article
Klintberg, Bo;
(2005)
Hipparchus's 3600'-Based Chord Table and Its Place in the History of Ancient Greek and Indian Trigonometry
(/isis/citation/CBB000600476/)
Book
Leibniz, G. W.;
(2004)
Quadrature Arithmétique du Cercle, de l'ellipse et de l'hyperbole et la Trigonométrie sans tables Trigonométriques qui en est le Corollaire
(/isis/citation/CBB000750904/)
Book
Brummelen, Glen Van;
(2009)
The Mathematics of the Heavens and the Earth: The Early History of Trigonometry
(/isis/citation/CBB000950326/)
Thesis
Sidoli, Nathan;
(2004)
Ptolemy's Mathematical Approach: Applied Mathematics in the Second Century
(/isis/citation/CBB001561782/)
Article
Duke, Dennis W.;
(2005)
Hipparchus' Eclipse Trios and Early Trigonometry
(/isis/citation/CBB000550727/)
Article
Savadi, Fatemeh;
(2008)
A Persian Treatise on the Determination of the Sine of One Degree
(/isis/citation/CBB001510405/)
Book
van Brummelen, Glen;
(2013)
Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry
(/isis/citation/CBB001214093/)
Article
McCarthy, Daniel P.;
Byrne, John G.;
(2003)
Al-Khwārizmī's Sine Tables and a Western Table with the Hindu Norm of R = 150
(/isis/citation/CBB000340513/)
Article
Dong, Jie;
Zhang, Wei;
(2011)
To Study the Scientific Spirit in the Early Qing-Dynasty from the Communication of Chinese Mathematicians Using Trigonometry
(/isis/citation/CBB001250693/)
Be the first to comment!