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Polynomials, Galois Theory, and Applications

Frederic Butin



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Dover Publications Inc.
15 February 2017
Suitable for advanced undergraduates and graduate students in mathematics and computer science, this precise, self-contained treatment of Galois theory features detailed proofs and complete solutions to exercises. This 2017 Dover Aurora edition marks the volume's first English-language publication. The three-part treatment begins by providing the essential introduction to Galois theory. The second part is devoted to the algebraic, normal, and separable Galois extensions that constitute the centre of the theory and examines abelian, cyclic, cyclotomic, and radical extensions. This section enables readers to acquire a comprehensive understanding of the Galois group of a polynomial. The third part deals with applications of Galois theory, including excellent discussions of several important real-world applications of these ideas, including cryptography and error-control coding theory. Symbolic computation via the Maple computer algebra system is incorporated throughout the text (though other software of symbolic computation could be used as well), along with a large number of very interesting exercises with full solutions.
By:   Frederic Butin
Imprint:   Dover Publications Inc.
Country of Publication:   United States
Dimensions:   Height: 229mm,  Width: 152mm,  Spine: 18mm
Weight:   431g
ISBN:   9780486810157
ISBN 10:   0486810151
Pages:   336
Publication Date:   15 February 2017
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active

Frederic Butin is a Professor of Mathematics at France's University of Lyon.

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