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Why quintic polynomial equations are not solvable in radicals

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00450751" target="_blank" >RIV/67985840:_____/15:00450751 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Why quintic polynomial equations are not solvable in radicals

  • Original language description

    We illustrate the main idea of Galois theory, by which roots of a polynomial equation of at least fifth degree with rational coefficients cannot general be expressed bz radicals, i.e., by the operations +, -, ., :, and .... Therefore, higher order polynomial equations are usually solved by approximate methods. They can also be solved algebraically by means of ultraradicals.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Applications of Mathematics 2015

  • ISBN

    978-80-85823-65-3

  • ISSN

  • e-ISSN

  • Number of pages

    7

  • Pages from-to

    125-131

  • Publisher name

    Institute of Mathematics CAS

  • Place of publication

    Prague

  • Event location

    Prague

  • Event date

    Nov 18, 2015

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article