Galois Theory

• Main Author: Weintraub, Steven H. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Universitext
• Subjects: Mathematics.; Field theory (Physics).; Group theory.; Number theory.; Field Theory and Polynomials.; Group Theory and Generalizations.; Number Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-87575-0

The book discusses classical Galois theory in considerable generality, treating fields of characteristic zero and of positive characteristic with consideration of both separable and inseparable extensions, but with a particular emphasis on algebraic extensions of the field of rational numbers. While...

Table of Contents:

• Introduction to Galois Theory
• Field Theory and Galois Theory
• Development and Applications of Galois Theory
• Extensions of the Field of Rational Numbers
• Further Topics in Field Theory
• Transcendental Extensions
• A. Some Results from Group Theory
• B. A Lemma on Constructing Fields
• C. A Lemma from Elementary Number Theory
• References
• Index.