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In this course the focus is on the following topics:
• The solution of polynomial equations over a field, including relationships between roots, methods of solutions and location of roots.
• The structure of finite and algebraic extensions of fields and their automorphisms.
We will study these in detail, building up a theory of algebraic extensions of fields and their automorphism groups and applying it to solve problems about roots of polynomial equations.
Course Notes and Supplementary Material (PDF format)
|Course notes||v1 PDF (796K)||03/11/20|