1. bookVolumen 21 (2022): Heft 1 (January 2022)
Zeitschriftendaten
License
Format
Zeitschrift
eISSN
2300-133X
Erstveröffentlichung
11 Dec 2014
Erscheinungsweise
1 Hefte pro Jahr
Sprachen
Englisch
Uneingeschränkter Zugang

A simpler method to get only the true solutions of cubic and quartic equations using Tschirnhaus transformation

Online veröffentlicht: 25 Sep 2022
Volumen & Heft: Volumen 21 (2022) - Heft 1 (January 2022)
Seitenbereich: 51 - 56
Eingereicht: 30 Mar 2022
Akzeptiert: 08 Aug 2022
Zeitschriftendaten
License
Format
Zeitschrift
eISSN
2300-133X
Erstveröffentlichung
11 Dec 2014
Erscheinungsweise
1 Hefte pro Jahr
Sprachen
Englisch

[1] Adamchik, Victor S., and David J. Je˙rey. “Polynomial transformations of Tschirnhaus, Bring and Jarrard.” ACM SIGSAM Bulletin, 37, no. 3 (2003): 90-94. Cited on 51.10.1145/990353.990371 Search in Google Scholar

[2] Dickson, Leonard Eugene. First course in the theory of equations. New York: John Wiley & Sons Inc., 1922. Cited on 54 and 55. Search in Google Scholar

[3] Kulkarni, Raghavendra G. “Picking genuine zeros of cubics in the Tschirnhaus method.” Math. Gaz. 100, no. 547 (2016): 48-53. Cited on 51 and 55.10.1017/mag.2016.7 Search in Google Scholar

[4] Kulkarni, Raghavendra G. “Tschirnhaus transformation method sans false solutions for solving cubics.” Fasc. Math. No. 63 (2020): 39-43. Cited on 51, 52 and 55. Search in Google Scholar

[5] Kulkarni, Raghavendra G. “A novel Tschirnhaus method to get only the true solutions of quartic equations.” Lect. Mat. 39, no. 1 (2018): 5–9. Cited on 51, 52 and 55. Search in Google Scholar

[6] Tschirnhaus, Ehrenfried W. “A method for removing all intermediate terms from a given equation”, Acta Eruditorum, (1683): pp. 204-207. Translated by R. F. Green in ACM SIGSAM Bulletin 37, no. 1, (2003): 1-3. Cited on 51.10.1145/844076.844078 Search in Google Scholar

Empfohlene Artikel von Trend MD