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해리엇의 기호주의와 방정식론

Harriot's Symbolism and the Theory of Equation

  • 투고 : 2013.08.20
  • 심사 : 2013.10.10
  • 발행 : 2013.11.30

초록

Thomas Harriot has been introduced in middle school textbooks as a great mathematician who created the sign of inequality. This study is about Harriot's symbolism and the theory of equation. Harriot made symbols of mathematical concepts and operations and used the algebraic visual representation which were combinations of symbols. He also stated solving equations in numbers, canonical, and by reduction. His epoch-making inventions of algebraic equation using notation of operation and letters are similar to recent mathematical representation. This study which reveals Harriot's contribution to general and structural approach of mathematical solution shows many developments of algebra in 16th and 17th centuries from Viete to Harriot and from Harriot to Descartes.

키워드

참고문헌

  1. Abraham Acavi, "Teaching and Learning Algebra: Past, Present and Future", Journal of Mathematical Behavior 14 (1995), 145-162. https://doi.org/10.1016/0732-3123(95)90033-0
  2. Book Reviews, Thomas Harriot's Doctrine of Triangular Numbers: The 'Magisteria Magna' Edited by Janet Berry Jacqueline Stedall, Zurich, 2008.
  3. Florian Cajori, A History of Mathematical Notations, Dover Publications, Inc., 1928.
  4. J. Fauvel,"J. J. Sylvester and the papers of 'Old Father Harriot' " The Harrioteer, 1996.
  5. P. C. Fenton, "An Extremal Problem in Harriot's Mathematics", Historia Mathematica 16 (1989), 154-163. https://doi.org/10.1016/0315-0860(89)90037-2
  6. Kenneth Manders, "Algebra in Roth, Faulhaber, and Descartes", Historia Mathematica 33 (2006), 184-209. https://doi.org/10.1016/j.hm.2005.05.003
  7. J. V. Pepper,"The study of Thomas Harriot's manuscripts. II. Harriot's unpublished papers", History of Science 6 (1967), 17-40. https://doi.org/10.1177/007327536700600102
  8. J. J. Roche,"Harriot's Regiment of the Sun and Its Background in Sixteenth-Century Navigation", The British Journal for the History of Science 14(3) (1981), 245-261. https://doi.org/10.1017/S0007087400018719
  9. Shin Kyunghee,"Harriot's algebraic symbol and the roots of equation", The Korean Journal for History of Mathematics 25(1) (2012), 15-27. (신경희, Harriot (1560-1621)의 대수기호와 방 정식의 근, 한국수학사학회지, 제25권 제1호, (2012), 15-27.)
  10. M. Seltman & E. Mizzi, "Thomas Harriot: Father of English Algebra?", Math. Intelligence 19(1) (1997), 46-49.
  11. Jacqueline Stedall, The Greate Invention of Algebra, Oxford, 2007.
  12. Jacqueline Stedall,"Symbolism, combinations, and visual imaginary in the mathematics of Thomas Harriot", Historia Mathematica 34 (2007), 380-401. https://doi.org/10.1016/j.hm.2007.05.001
  13. Jacqueline Stedall,"John Wallis and the French: his quarrels with Fermat, Pascal, Dulaurens, and Descartes", Historia Mathematica 39 (2012), 265-279. https://doi.org/10.1016/j.hm.2012.02.003
  14. R. C. H. Tanner, "Thomas Harriot as mathematician, A legacy of hearsay II", Phisis IX (1967), 257-292.