By Frédéric Butin
Suitable for complicated undergraduates and graduate scholars in arithmetic and computing device technological know-how, this special, self-contained remedy of Galois idea good points certain proofs and entire recommendations to routines. initially released in French as Algèbre — Polynômes, théorie de Galois et functions informatiques, this 2017 Dover Aurora version marks the volume's first English-language publication.
The three-part remedy starts by way of supplying the basic creation to Galois concept. the second one half is dedicated to the algebraic, common, and separable Galois extensions that represent the guts of the idea and examines abelian, cyclic, cyclotomic, and radical extensions. This part allows readers to procure a entire figuring out of the Galois staff of a polynomial. The 3rd half offers with functions of Galois conception, together with first-class discussions of a number of vital real-world functions of those principles, together with cryptography and error-control coding concept. Symbolic computation through the Maple machine algebra procedure is included through the textual content (though different software program of symbolic computation may be used as well), besides lots of very attention-grabbing routines with complete solutions.
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Extra info for Algebra: Polynomials, Galois Theory and Applications (Aurora: Dover Modern Math Originals)
Algebra: Polynomials, Galois Theory and Applications (Aurora: Dover Modern Math Originals) by Frédéric Butin