Synopsis
The first part explores Galois theory, focusing on related concepts from field theory. The second part discusses 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 concludes with the unsolvability by radicals of the general equation of degree n is greater than 5. 1962 edition.
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Foundations of Galois Theory (Dover Books on Mathematics)
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Foundations of Galois Theory
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Foundations of Galois Theory
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Foundations of Galois Theory (Paperback)
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Dover Publications Inc., New York, 2004
ISBN 10: 0486435180
ISBN 13: 9780486435183
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Paperback. Condition: new. Paperback. 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 5. A virtually self-contained treatment of the basics of Galois theory. This 2-part approach begins with the elements of Galois theory and concludes with the unsolvability by radicals of the general equation of degree n is greater than 5. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486435183
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Foundations of Galois Theory
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ISBN 10: 0486435180
ISBN 13: 9780486435183
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