基本説明
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.
Full Description
This is a textbook on Galois theory. Galois theory has a well-deserved re- tation as one of the most beautiful subjects in mathematics. In this chapter we give a number of examples in Galois theory, even before our terms have been properly de?ned. We develop ?eld theory, with our goal being the Fundamental Theorem of Galois Theory (the FTGT).
