dc.contributor.author | García Barroso, Evelia Rosa | |
dc.contributor.author | Płoski, Arkadiusz | |
dc.contributor.editor | Krasiński, Tadeusz | |
dc.contributor.editor | Spodzieja, Stanisław | |
dc.date.accessioned | 2017-12-13T09:59:52Z | |
dc.date.available | 2017-12-13T09:59:52Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | García Barroso E. R., Płoski A., Euclidean algorithm and polynomial equations after Labatie, [in:] Krasiński T., Spodzieja S. (eds.), Analytic and Algebraic Geometry, Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2013, s. 41-49, doi: 10.18778/7969-017-6.04 | pl_PL |
dc.identifier.isbn | 978-83-7969-017-6 | |
dc.identifier.uri | http://hdl.handle.net/11089/23607 | |
dc.description.abstract | We recall Labatie's effective method of solving polynomial equations
with two unknowns by using the Euclidean algorithm. | pl_PL |
dc.language.iso | en | pl_PL |
dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | pl_PL |
dc.relation.ispartof | Krasiński T., Spodzieja S. (eds.), Analytic and Algebraic Geometry, Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2013; | |
dc.rights | Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/pl/ | * |
dc.title | Euclidean algorithm and polynomial equations after Labatie | pl_PL |
dc.type | Book chapter | pl_PL |
dc.rights.holder | © Copyright by Uniwersytet Łódzki, Łódź 2013 | pl_PL |
dc.page.number | 41-49 | pl_PL |
dc.contributor.authorAffiliation | Departamento de Matemática Fundamental Facultad de Matemáticas, Universidad de La Laguna 38271 La Laguna, Tenerife, España | pl_PL |
dc.contributor.authorAffiliation | Department of Mathematics, Kielce University of Technology, Al. 1000 L PP7, 25-314 Kielce, Poland | pl_PL |
dc.references | H. Bôcher, Introduction to Higher Algebra. New York 1907 (reprinted 1947). | pl_PL |
dc.references | O. Bonnet, Mémoire sur la résolution de deux équations à deux inconnues, Nouvelles annales de mathèmatiques 1re sèrie, tome 6 (1847), 54-63. | pl_PL |
dc.references | J.P.E. Finck, Sur l'élimination entre deux équations algébriques à deux inconnues. Nouveau théorème d'algèbre, Nouvelles annales de mathématiques 1re série, tome 4 (1845), 198-205. | pl_PL |
dc.references | J.P.E. Finck, Éléments d'algèbre, Derivaux (1846) 2e édition, pp. 544. | pl_PL |
dc.references | W. Fulton, Algebraic Curves, W.A. Benjamin, New York, 1969. | pl_PL |
dc.references | K. Glashoff, A note on elimination polynomials, Hambuger Beiträge zur Angewandten Mathematik, Reihe A, Preprint 137, March 1998. | pl_PL |
dc.references | J. Hilmar, Ch. Smyth, Euclid Meets Bézout: Intersecting Algebraic Plane Curves with the Euclidean Algorithm, The Amer. Math. Monthly, vol 117, Number 3, March 2010, pp. 250-260. | pl_PL |
dc.references | M. Kalkbrener, A Generalized Euclidean Algorithm for Computing Triangular Representation of Algebraic Varieties, J. Symbolic Computation (1993) 15, 143-167. | pl_PL |
dc.references | M. Kalkbrener, Primitive polynomial remainder sequences in elimination theory, Applicable Algebra in Engineering, Communication and Computing (1995) 6, 65-79. | pl_PL |
dc.references | D. Lazard, Solving zero-dimensional algebraic systems, J. Symbolic Computation (1992) 13, 117-131 | pl_PL |
dc.references | E. Netto, Vorlesungen über Algebra, Zweiter Band, Teubner, Leibzig, 1900. | pl_PL |
dc.references | J.A. Serret, Cours D'Algèbre Supérieure. Paris 1928 (First edition 1866). | pl_PL |
dc.references | B. Teissier, Complex curve singularities: a biased introduction. Singularities in geometry and topology, 825-887, World Sci. Publ., Hackensack, NJ, 2007. | pl_PL |
dc.contributor.authorEmail | ergarcia@ull.es | pl_PL |
dc.contributor.authorEmail | matap@tu.kielce.plr | pl_PL |
dc.identifier.doi | 10.18778/7969-017-6.04 | |