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Foundations of Galois Theory

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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.

144 pages, Paperback

First published February 2, 2004

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M.M. Postnikov

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Profile Image for Didier "Dirac Ghost" Gaulin.
102 reviews26 followers
January 14, 2023
On one hand, this textbook has a great set of followable proofs that explicate quite well, the logico-algebraic road needed to understand the structure of a Galois group, a Galois theory. On the other, there is no intuitive examples to be found here, only highly formal propositions in symbolic form. This is not a good choice for the intrepid who wants to learn the theory, possibly to apply it in the domain of cryptography, but a good supplement, to solidify one's formal understanding. For algebraist only.
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