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" Galois Theory "
by Jean-Pierre Escofier.
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BL
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| Record Number
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573388
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b402607
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| Main Entry
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Escofier, Jean-Pierre.
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| Title & Author
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Galois Theory\ by Jean-Pierre Escofier.
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| Publication Statement
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New York, NY :: Springer New York :: Imprint: Springer,, 2001.
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| Series Statement
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Graduate Texts in Mathematics,; 204
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| ISBN
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9781461301912
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: 9781461265580
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| Contents
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Historical Aspects of the Resolution of Algebraic Equations -- Resolution of Quadratic, Cubic and Quartic Equations -- Symmetric Polynomials -- Field Extensions -- Constructions with Straightedge and Compass -- K-Homomorphism -- Normal Extensions -- Galois Groups -- Roots of Unity -- Cyclic Extensions -- Solvable Groups -- Solvability of Equations by Radicals -- The Life of Evariste Galois -- Finite Fields -- Separable Extension -- Recent Developments -- Bibliography -- Index.
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| Abstract
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This book begins with a sketch, in Chapters 1 and 2, of the study of alge braic equations in ancient times (before the year 1600). After introducing symmetric polynomials in Chapter 3, we consider algebraic extensions of fi nite degree contained in the field
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Mathematics.
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Algebra.
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Number theory.
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| Added Entry
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SpringerLink (Online service)
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