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.
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來自INTRODUCTION TO GALOIS THEORY的熱門評論
A difficult course for me, personally, but that makes it all the more worth it! Taking this course has helped me learn more I thought I would. Definitely recommended.
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. It is best you take an algebra course for prerequisite.