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" Galois theory / "
Ian Stewart.
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BL
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| Record Number
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627833
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| Doc. No
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dltt
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| Main Entry
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Stewart, Ian,1945-
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| Title & Author
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Galois theory /\ Ian Stewart.
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| Edition Statement
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2nd ed.
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| Publication Statement
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London ;New York :: Chapman and Hall,, 1989.
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| Page. NO
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xxx, 202 p. :: ill. ;; 24 cm.
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| ISBN
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0412345404
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: 9780412345401
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: 0412345501 (pbk.)
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: 9780412345500 (pbk.)
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| Notes
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Includes indexes.
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| Bibliographies/Indexes
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Includes bibliographical references (p. [194]-196).
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| Contents
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Background -- Factorization of polynomials -- Field extensions -- The degree of an extension -- Ruler and compasses -- Transcendental numbers -- The idea behind Galois theory -- Normality and separability -- Field degrees and group orders -- Monomorphisms, automorphisms, and normal closures -- The Galois correspondence -- A specific example -- Soluble and simple groups -- Solution of equations by radicals -- The general polynomial equation -- Finite fields -- Regular polygons -- Calculating Galois groups -- The 'fundamental theorem of algebra'.
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| Subject
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Galois theory.
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| LC Classification
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QA214.S74 1989
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