Foundations of Galois Theory

Other author Postnikov, M. M.
Other author Swinfen, A.
Format Electronic
Publication InfoPergamon [Imprint] Oxford : Elsevier Science & Technology
Supplemental ContentFull text available from eBook - Mathematics (Legacy 1) [EBCML1]
Subjects
Galois Theory

SeriesInternational Series of Monographs on Pure and Applied Mathematics Vol. 29
Summary Annotation Written by a prominent mathematician, this text offers advanced undergraduate and graduate students a virtually self-contained treatment of the basics of Galois theory. The source of modern abstract algebra and one of abstract algebra's most concrete applications, Galois theory serves as an excellent introduction to group theory and provides a strong, historically relevant motivation for the introduction of the basics of abstract algebra. This two-part treatment begins with the elements of Galois theory, focusing on related concepts from field theory, including the structure of important types of extensions and the field of algebraic numbers. A consideration of relevant facts from group theory leads to a survey of Galois theory, with discussions of normal extensions, the order and correspondence of the Galois group, and Galois groups of a normal subfield and of two fields. The second part explores the solution of equations by radicals, returning to the general theory of groups for relevant facts, examining equations solvable by radicals and their construction, and concluding with the unsolvability by radicals of the general equation of degree n [greater than or equal] 5. Book jacket.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
ISBN9780080096865
ISBN0080096867 (Trade Cloth) Out of Print
Standard identifier# 9780080096865
Stock number01167891

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