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    FIELDS AND GALOIS THEORY

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    221845

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    The pioneering work of Abel and Galois in the early nineteenth century demonstrated that the long-standing quest for a solution of quintic equations by radicals was fruitless: no formula can be found. The techniques they used were, in the end, more important than the resolution of a somewhat esoteric problem, for they were the genesis of modern abstract algebra. This book provides a gentle introduction to Galois theory suitable for third- and fourth-year undergraduates and beginning graduates. The approach is unashamedly unhistorical: it uses the language and techniques of abstract algebra to express complex arguments in contemporary terms. Thus the insolubility of the quintic by radicals is linked to the fact that the alternating group ofdegree 5 is simple - which is assuredly not the way Galois would have expressed the connection. Topics covered include: rings and fields integral domains and polynomials field extensions and splitting fields applications to geometry finite fields theGalois group equations Group theory features in many of the arguments, and is fully explained in the text. Clear and careful explanations are backed up with worked examples and more than 100 exercises, for which full solutions are provided.

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    ISBN9781852339869
    Pré vendaNão
    Peso251g
    Autor para link
    Livro disponível - pronta entregaNão
    Dimensões23 x 16 x 1
    Tipo itemLivro Importado
    Número de páginas225
    Número da edição1ª EDICAO - 2005
    Código Interno221845
    Código de barras9781852339869
    AcabamentoPAPERBACK
    AutorHOWIE, JOHN M.
    EditoraSPRINGER VERLAG *
    Sob encomendaSim

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