Algebra From the Viewpoint of Galois Theory /

• Main Author: Bosch, Siegfried (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Birkhäuser Advanced Texts Basler Lehrbücher,
• Subjects: Algebra.; Field theory (Physics).; Algebraic geometry.; Field Theory and Polynomials.; Algebraic Geometry.

The material presented here can be divided into two parts. The first, sometimes referred to as abstract algebra, is concerned with the general theory of algebraic objects such as groups, rings, and fields, hence, with topics that are also basic for a number of other domains in mathematics. The secon...

Table of Contents:

• Elementary Group Theory
• Rings and Polynomials
• Algebraic Field Extensions
• Galois Theory
• More on Group Theory
• Applications of Galois Theory
• Transcendental Field Extensions.