Galois Theory for Beginners

Galois Theory for Beginners

Jörg Bewersdorff David Kramer / Mar 29, 2020

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

  • Title: Galois Theory for Beginners
  • Author: Jörg Bewersdorff David Kramer
  • ISBN: 9780821838174
  • Page: 122
  • Format: Paperback
  • 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.

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      • Jörg Bewersdorff David Kramer

        Jörg Bewersdorff David Kramer Is a well-known author, some of his books are a fascination for readers like in the Galois Theory for Beginners book, this is one of the most wanted Jörg Bewersdorff David Kramer author readers around the world.


    977 Comments

    1. 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.


    2. O título for beginners as vezes sugere um nível de facilidade que às vezes não corresponde ao grau de dificuldade da obra. No capítulo sobre a solução das equações cúbicas a controvérsia Tartaglia-Cardano-Fiori-Del Ferro é tratada de uma perspectiva matemática um pouco diferente da apresentação tradicional. O capítulo 2 apresenta novas e interessantes perspectivas sobre os números complexos, valendo destacar ainda no capítulo dez a existência de interessantes observações sob [...]


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