Galois Theory for Beginners A Historical Perspective

Name: Galois Theory for Beginners A Historical Perspective
Price: 43.5 USD
Availability: InStock
ISBN: 9780821838174

ISBN-10: 0821838172

ISBN-13: 9780821838174

Edition: 2006

Authors: Jorg Bewersdorff, David Kramer

List price: $41.00

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Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. In this book, Bewersdorff follows the historical development of the theory, emphasizing concrete examples along the way. As a result, many mathematical abstractions are now seen as the natural consequence of particular investigations. Few prerequisites are needed beyond general college mathematics, since the necessary ideas and properties of groups and fields are provided as needed. Results in Galois theory are formulated first in a concrete, elementary way, then in the modern form. Each chapter begins with a simple question that gives the reader an…

Book details

List price: $41.00
Copyright year: 2006
Publisher: American Mathematical Society
Publication date: 9/5/2006
Binding: Paperback
Pages: 180
Size: 5.75" wide x 8.50" long x 0.25" tall
Weight: 0.726



Cubic equations


Casus irreducibilis: The birth of the complex numbers


Biquadratic equations


Equations of degree $n$ and their properties


The search for additional solution formulas


Equations that can be reduced in degree


The construction of regular polygons


The solution of equations of the fifth degree


The Galois group of an equation


Algebraic structures and Galois theory


Epilogue


Index