Download PDF by Frédéric Butin: Algebra: Polynomials, Galois Theory and Applications

By Frédéric Butin

ISBN-10: 0486810151

ISBN-13: 9780486810157

Suitable for complicated undergraduates and graduate scholars in arithmetic and desktop technological know-how, this certain, self-contained remedy of Galois conception good points exact proofs and whole suggestions to routines. initially released in French as Algèbre — Polynômes, théorie de Galois et functions informatiques, this 2017 Dover Aurora variation marks the volume's first English-language publication.
The three-part therapy starts by means of delivering the fundamental creation to Galois idea. the second one half is dedicated to the algebraic, common, and separable Galois extensions that represent the guts of the speculation and examines abelian, cyclic, cyclotomic, and radical extensions. This part allows readers to obtain a complete figuring out of the Galois team of a polynomial. The 3rd half bargains with functions of Galois concept, together with very good discussions of numerous vital real-world purposes of those rules, together with cryptography and error-control coding conception. Symbolic computation through the Maple machine algebra procedure is integrated during the textual content (though different software program of symbolic computation will be used as well), besides lots 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

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