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    3. Quintic Equations and How to Solve Them

    Quintic Equations and How to Solve Them

    Posted By: hill0
    Date: 27 Sep 2025 07:04:58
    Quintic Equations and How to Solve Them

    Quintic Equations and How to Solve Them
    English | 2025 | ISBN: 3032016576 | 212 Pages | PDF EPUB (True) | 11 MB

    While equations up to the fourth degree are solvable, there are, as demonstrated by Niels Henrik Abel, no general algebraic formulas leading to the solution of equations of fifth or higher degree. Nevertheless, some fifth degree (quintic) equations are indeed solvable. The author describes how Galois theory can be used to identify those quintic equations that can be solved algebraically and then shows how the solutions can be found. This involves shining a light on some little known works dating back to the late 19th century, bringing new life to a classical problem.
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