Galois theory. Cox D.A.

Galois theory



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Galois theory Cox D.A. ebook djvu
Publisher: Wiley
Language: English
Page: 583
ISBN: 0471434191, 9780471434191

Review

"This book provides a very detailed and comprehensive presentation of the theory and applications of Galois theory." (Mathematical Reviews, Issue 2006a)

"Happily, Cox's book reads more like a monograph, making a solid case for new subjects rather than rapidly treating a classical one." (CHOICE, September 2005)

" … offers a careful discussion … and will certainly fascinate anyone interested in abstract algebra: a remarkable book!" (Monatshefte fur Mathematik, August 2006)

From the Back Cover

An introduction to one of the most celebrated theories of mathematics

Galois theory is one of the jewels of mathematics. Its intrinsic beauty, dramatic history, and deep connections to other areas of mathematics give Galois theory an unequaled richness. David Cox’s Galois Theory helps readers understand not only the elegance of the ideas but also where they came from and how they relate to the overall sweep of mathematics.

Galois Theory covers classic applications of the theory, such as solvability by radicals, geometric constructions, and finite fields. The book also delves into more novel topics, including Abel’s theory of Abelian equations, the problem of expressing real roots by real radicals (the casus irreducibilis), and the Galois theory of origami. Anyone fascinated by abstract algebra will find careful discussions of such topics as:The contributions of Lagrange, Galois, and KroneckerHow to compute Galois groupsGalois’s results about irreducible polynomials of prime or prime-squared degreeAbel’s theorem about geometric constructions on the lemniscate

With intriguing Mathematical and Historical Notes that clarify the ideas and their history in detail, Galois Theory brings one of the most colorful and influential theories in algebra to life for professional algebraists and students alike.



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