Galois Theory for Beginners
Galois Theory for Beginners By Jörg Bewersdorff David Kramer Galois Theory for Beginners 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 developm
Galois Theory for Beginners By Jörg Bewersdorff David Kramer 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 investigatioGalois 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 idea of the nature and difficulty of what lies ahead The applications of the theory to geometric constructions, including the ancient problems of squaring the circle, duplicating the cube, and trisecting an angle, and the construction of regular n gons are also presented This book is suitable for undergraduates and beginning graduate students.
Galois Theory for Beginners By Jörg Bewersdorff David Kramer

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The usual presentation of Galois Theory misses some of the original insights and motivations from the problem of solubility by radicals In this short book, we have the opportunity to appreciate step by step how these ideas have evolved into an abstract rigorous package of theorems.
O t tulo for beginners as vezes sugere um n vel de facilidade que s vezes n o corresponde ao grau de dificuldade da obra No cap tulo sobre a solu o das equa es c bicas a controv rsia Tartaglia Cardano Fiori Del Ferro tratada de uma perspectiva matem tica um pouco diferente da apresenta o tradicional O cap tulo 2 apresenta novas e interessantes perspectivas sobre os n meros complexos, valendo destacar ainda no cap tulo dez a exist ncia de interessantes observa es sobre os problemas cl ssicos irre [...]