Horner's method (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Horner's method" in English language version.

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Mikami 1913, p. 77 Mikami, Yoshio (1913). "Chapter 11. Ch'in Chiu-Shao". The Development of Mathematics in China and Japan (1st ed.). Chelsea Publishing Co reprint. pp. 74–77.

berkeley.edu

people.eecs.berkeley.edu

Fateman & Kahan 2000 Fateman, R. J.; Kahan, W. (2000). Improving exact integrals from symbolic algebra systems (PDF) (Report). PAM. University of California, Berkeley: Center for Pure and Applied Mathematics. Archived from the original (PDF) on 2017-08-14. Retrieved 2018-05-17.

doi.org

Pan 1966 Pan, Y. Ja (1966). "On means of calculating values of polynomials". Russian Math. Surveys. 21: 105–136. doi:10.1070/rm1966v021n01abeh004147. S2CID 250869179.
Pankiewicz 1968. Pankiewicz, W. (1968). "Algorithm 337: calculation of a polynomial and its derivative values by Horner scheme". Communications of the ACM. 11 (9). ACM: 633. doi:10.1145/364063.364089. S2CID 52859619.
Pan 1966. Pan, Y. Ja (1966). "On means of calculating values of polynomials". Russian Math. Surveys. 21: 105–136. doi:10.1070/rm1966v021n01abeh004147. S2CID 250869179.
Horner 1819. Horner, William George (July 1819). "A new method of solving numerical equations of all orders, by continuous approximation". Philosophical Transactions. 109. Royal Society of London: 308–335. doi:10.1098/rstl.1819.0023. JSTOR 107508. S2CID 186210512.
Directly available online via the link, but also reprinted with appraisal in D.E. Smith: A Source Book in Mathematics, McGraw-Hill, 1929; Dover reprint, 2 vols, 1959.
Fuller 1999, pp. 29–51. Fuller, A. T. (1999). "Horner versus Holdred: An Episode in the History of Root Computation". Historia Mathematica. 26: 29–51. doi:10.1006/hmat.1998.2214.
Cajori 1911. Cajori, Florian (1911). "Horner's method of approximation anticipated by Ruffini". Bulletin of the American Mathematical Society. 17 (8): 409–414. doi:10.1090/s0002-9904-1911-02072-9. Archived from the original on 2017-09-04. Retrieved 2012-03-04. Read before the Southwestern Section of the American Mathematical Society on November 26, 1910.
Berggren 1990, pp. 304–309. Berggren, J. L. (1990). "Innovation and Tradition in Sharaf al-Din al-Tusi's Muadalat". Journal of the American Oriental Society. 110 (2): 304–309. doi:10.2307/604533. JSTOR 604533.

doverpublications.com

store.doverpublications.com

Libbrecht 2005, pp. 181–191. Libbrecht, Ulrich (2005). "Chapter 13". Chinese Mathematics in the Thirteenth Century (2nd ed.). Dover. ISBN 978-0-486-44619-6. Archived from the original on 2017-06-06. Retrieved 2016-08-23.
Libbrecht 2005, p. 208. Libbrecht, Ulrich (2005). "Chapter 13". Chinese Mathematics in the Thirteenth Century (2nd ed.). Dover. ISBN 978-0-486-44619-6. Archived from the original on 2017-06-06. Retrieved 2016-08-23.

jstor.org

Horner 1819. Horner, William George (July 1819). "A new method of solving numerical equations of all orders, by continuous approximation". Philosophical Transactions. 109. Royal Society of London: 308–335. doi:10.1098/rstl.1819.0023. JSTOR 107508. S2CID 186210512.
Directly available online via the link, but also reprinted with appraisal in D.E. Smith: A Source Book in Mathematics, McGraw-Hill, 1929; Dover reprint, 2 vols, 1959.
Berggren 1990, pp. 304–309. Berggren, J. L. (1990). "Innovation and Tradition in Sharaf al-Din al-Tusi's Muadalat". Journal of the American Oriental Society. 110 (2): 304–309. doi:10.2307/604533. JSTOR 604533.

projecteuclid.org

Cajori 1911. Cajori, Florian (1911). "Horner's method of approximation anticipated by Ruffini". Bulletin of the American Mathematical Society. 17 (8): 409–414. doi:10.1090/s0002-9904-1911-02072-9. Archived from the original on 2017-09-04. Retrieved 2012-03-04. Read before the Southwestern Section of the American Mathematical Society on November 26, 1910.

sciencedirect.com

Ostrowski 1954. Ostrowski, Alexander M. (1954). "On two problems in abstract algebra connected with Horner's rule". Studies in Mathematics and Mechanics presented to Richard von Mises. Academic Press. pp. 40–48. ISBN 978-1-4832-3272-0. Archived from the original on 2019-04-15. Retrieved 2016-08-23.

semanticscholar.org

api.semanticscholar.org

Pan 1966 Pan, Y. Ja (1966). "On means of calculating values of polynomials". Russian Math. Surveys. 21: 105–136. doi:10.1070/rm1966v021n01abeh004147. S2CID 250869179.
Pankiewicz 1968. Pankiewicz, W. (1968). "Algorithm 337: calculation of a polynomial and its derivative values by Horner scheme". Communications of the ACM. 11 (9). ACM: 633. doi:10.1145/364063.364089. S2CID 52859619.
Pan 1966. Pan, Y. Ja (1966). "On means of calculating values of polynomials". Russian Math. Surveys. 21: 105–136. doi:10.1070/rm1966v021n01abeh004147. S2CID 250869179.
Horner 1819. Horner, William George (July 1819). "A new method of solving numerical equations of all orders, by continuous approximation". Philosophical Transactions. 109. Royal Society of London: 308–335. doi:10.1098/rstl.1819.0023. JSTOR 107508. S2CID 186210512.
Directly available online via the link, but also reprinted with appraisal in D.E. Smith: A Source Book in Mathematics, McGraw-Hill, 1929; Dover reprint, 2 vols, 1959.

st-andrews.ac.uk

mathshistory.st-andrews.ac.uk

O'Connor, John J.; Robertson, Edmund F., "Horner's method", MacTutor History of Mathematics Archive, University of St Andrews

web.archive.org

Ostrowski 1954. Ostrowski, Alexander M. (1954). "On two problems in abstract algebra connected with Horner's rule". Studies in Mathematics and Mechanics presented to Richard von Mises. Academic Press. pp. 40–48. ISBN 978-1-4832-3272-0. Archived from the original on 2019-04-15. Retrieved 2016-08-23.
Fateman & Kahan 2000 Fateman, R. J.; Kahan, W. (2000). Improving exact integrals from symbolic algebra systems (PDF) (Report). PAM. University of California, Berkeley: Center for Pure and Applied Mathematics. Archived from the original (PDF) on 2017-08-14. Retrieved 2018-05-17.
Libbrecht 2005, pp. 181–191. Libbrecht, Ulrich (2005). "Chapter 13". Chinese Mathematics in the Thirteenth Century (2nd ed.). Dover. ISBN 978-0-486-44619-6. Archived from the original on 2017-06-06. Retrieved 2016-08-23.
Cajori 1911. Cajori, Florian (1911). "Horner's method of approximation anticipated by Ruffini". Bulletin of the American Mathematical Society. 17 (8): 409–414. doi:10.1090/s0002-9904-1911-02072-9. Archived from the original on 2017-09-04. Retrieved 2012-03-04. Read before the Southwestern Section of the American Mathematical Society on November 26, 1910.
Libbrecht 2005, p. 208. Libbrecht, Ulrich (2005). "Chapter 13". Chinese Mathematics in the Thirteenth Century (2nd ed.). Dover. ISBN 978-0-486-44619-6. Archived from the original on 2017-06-06. Retrieved 2016-08-23.