A very beautiful classical theory on field extensions of a certain type (Galois extensions) initiated by Galois in the 19th century. Explains, in particular, why it is not possible to solve an equation of degree 5 or more in the same way as we solve quadratic or cubic equations. You will learn to compute Galois groups and (before that) study the properties of various field extensions.
Introduction to Galois Theory
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来自INTRODUCTION TO GALOIS THEORY的热门评论
Outstanding course so far - a great refresher for me on Galois theory. It's nice to see more advanced mathematics classes on Coursera.
the content is rich, though a little advanced. I strongly recommend this course to others, because I personally learned a lot from it.
The teacher is good at explaining things.\n\nIt is best you take an algebra course for prerequisite.
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