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Galois Theory

eBook - Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
WILEY
ISBN/EAN: 9781118218426
Umbreit-Nr.: 3833389

Sprache: Englisch
Umfang: 608 S., 24.26 MB
Format in cm:
Einband: Keine Angabe

Erschienen am 27.03.2012
Auflage: 2/2012


E-Book
Format: PDF
DRM: Adobe DRM
€ 70,99
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  • Zusatztext
    • <b>Praise for the<i>First Edition</i></b><p><b>". . .will certainly fascinate anyone interested in abstract algebra:</b><b>a remarkable book!"<br /></b><i><b>Monatshefte fur Mathematik</b></i></p><p>Galois theory is one of the most established topics in mathematics, with historical roots that led to the development of many central concepts in modern algebra, including groups and fields. Covering classic applications of the theory, such as solvability by radicals, geometric constructions, and finite fields,<i>Galois Theory, Second Edition</i> delves into novel topics like Abels theory of Abelian equations, casus irreducibili, and the Galois theory of origami.</p><p>In addition, this book features detailed treatments of several topics not covered in standard texts on Galois theory, including:</p><ul><li>The contributions of Lagrange, Galois, and Kronecker</li><li>How to compute Galois groups</li><li>Galois's results about irreducible polynomials of prime or prime-squared degree</li><li>Abel's theorem about geometric constructions on the lemniscates</li><li>Galois groups of quartic polynomials in all characteristics</li></ul><p>Throughout the book, intriguing<i>Mathematical Notes</i> and<i>Historical Notes</i> sections clarify the discussed ideas and the historical context; numerous exercises and examples use Maple and Mathematica to showcase the computations related to Galois theory; and extensive references have been added to provide readers with additional resources for further study.</p><p><i>Galois Theory, Second Edition</i> is an excellent book for courses on abstract algebra at the upper-undergraduate and graduate levels. The book also serves as an interesting reference for anyone with a general interest in Galois theory and its contributions to the field of mathematics.</p>
  • Autorenportrait
    • <p><b>DAVID A. COX</b>, PhD, is Professor in the Department of Mathematics at Amherst College. He has published extensively in his areas of research interest, which include algebraic geometry, number theory, and the history of mathematics. Dr. Cox is consulting editor for<i>Wiley's Pure and Applied Mathematics</i> book series and the author of<i>Primes of the Form x2 + ny2</i> (Wiley).</p>