Galois theory

Bibliographic Details
Main Author: Stewart, Ian 1945-
Format: Book
Language:English
Published: Boca Raton : Chapman & Hall/CRC, 2004.
Edition:3ra edición
Series:Chapman & Hall/CRC mathematics
Subjects:
Online Access:Texto completo
Table of Contents:
  • Classical Algebra
  • The Fundamental Theorem of Algebra
  • Factorisation of Polynomials
  • Field Extensions
  • Simple Extensions
  • The Degree of an Extension
  • Ruler-and-Compass Constructions
  • The Idea Behind Galois Theory
  • Normality and Separability
  • Counting Principles
  • Field Automorphisms
  • The Galois Correspondence
  • A Worked Example
  • Solubility and Simplicity
  • Solution by Radicals
  • Abstract Rings and Fields
  • Abstract Field Extensions
  • The General Polynomial Equation
  • Finite Fields
  • Regular Polygons
  • Circle Division
  • Calculating Galois Groups
  • Algebraically Closed Fields
  • Transcendental Numbers
  • What Did Galois Do or Know?