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GALOIS THEORY (Sen, M1, Stewart)

Lecture Topic : (Pure Math)   GALOIS THEORY  (Sen, M1, Stewart)

Prerequisites : Abstract Algebra (Sen);

Recommended Text(s) :

“Galois Theory” 2nd Edn.”, Ian Stewart, Chapman and Hall, 1989.

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Approx price second hand on : $40

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Lectures and Links :


Lecture 1  (link)

Galois’s Life

Ch.1   Background


Lecture 2  (link)

Ch.2   Factorization of Polynomials

Ch.3   Field Extensions


Lecture 3  (link)

Ch.4   The Degree of an Extension

Ch.5   Ruler and Compasses


Lecture 4  (link)

Ch.6   Transcendental Numbers

Ch.7   The Idea Behind Galois Theory


Lecture 5   (link)

Ch.8    Normality and Separability

Ch.9   Field Degrees and Group Orders


Lecture 6   (link)

Ch.10   Monomorphisms, Automorphisms, andNormalClosures

Ch.11   The Galois Correspondence


Lecture 7   (link)

Ch.12   A Specific Example

Ch.13   Soluble and Simple Groups


Lecture 8   (link)

Ch.14   Solutions of Equations by Radicals

Ch.15   The General Polynomial Equation


Lecture 9   (link)

Ch.16   Finite Fields

Ch.17   Regular Polygons


Lecture 10   (link)

Ch.18   Calculating Galois Groups

Ch.19   The Fundamental Theorem of Algebra


Links to Other Lecturers on this Topic :

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