By Frédéric Butin
Suitable for complex undergraduates and graduate scholars in arithmetic and laptop technological know-how, this special, self-contained remedy of Galois concept good points designated proofs and whole suggestions to routines. initially released in French as Algèbre — Polynômes, théorie de Galois et purposes informatiques, this 2017 Dover Aurora variation marks the volume's first English-language publication.
The three-part remedy starts off by means of delivering the basic advent to Galois concept. the second one half is dedicated to the algebraic, common, and separable Galois extensions that represent the heart of the idea and examines abelian, cyclic, cyclotomic, and radical extensions. This part allows readers to obtain a complete realizing of the Galois crew of a polynomial. The 3rd half bargains with functions of Galois idea, together with first-class discussions of a number of very important real-world purposes of those principles, together with cryptography and error-control coding thought. Symbolic computation through the Maple laptop algebra approach is included in the course of the textual content (though different software program of symbolic computation might be used as well), in addition to a good number of very fascinating routines with complete solutions.
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Algebra: Polynomials, Galois Theory and Applications (Aurora: Dover Modern Math Originals) by Frédéric Butin