Course Archives Theoretical Statistics and Mathematics Unit | |||||||||||||||||||||||||||||||||||
Course: Algebra IV Instructor: Maneesh Thakur Room: G26 Level: Undergraduate Time: Currently offered |
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Syllabus
Past Exams Syllabus (Field Theory): Finite Fields. Field extensions, degree of a field extension. Ruler and compass constructions. Algebraic closure of a field. Transcendental bases. Galois theory in characteristic zero, Kummer extensions, cyclotomic extensions, impossibility of solving quintic equations. Time permitting: Galois theory in positive characteristic (separability, normality), Separable degree of an extension Reference Texts: 1. M. Artin: Algebra 2. S. D. Dummit and M. R. Foote: Abstract Algebra 3. I. N. Herstein: Topics in Algebra 4. K. Hoffman and R. Kunze: Linear Algebra Evaluation:
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Midterm
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[ Semester Schedule ][ Statmath Unit ] [Indian Statistical Institute] |