Course Archives Theoretical Statistics and Mathematics Unit

Course: Field and Galois theory Instructor: Ramesh Sreekantan Room: G23 Level: Undergraduate Time: Currently offered

Syllabus Past Exams Syllabus: - Algebraic extensions: degree, Splitting fields and normal extensions, Algebraic closure. - Separable extensions, Fundamental theorem of Galois theory. - Finite fields, Cyclic extensions, Kummer theory. - Ruler and compass constructions, Solvability by radicals. - Transcendental extensions: Transcendence bases and transcendence degree Reference Texts: (a) M. Artin: Algebra. (b) S. D. Dummit and M. R. Foote: Abstract Algebra. (c) I. N. Herstein: Topics in Algebra. (d) K. Hoffman and R. Kunze: Linear Algebra. (e) C. Musili: Rings and Modules. (f) P. Morandi: Field and Galois theory. (g) N. Jacobson: Basic Algebra. Evaluation: Mid-term 30 marks Assignment 20 marks Final Exam 50 marks Total 100 marks Top of the page Past Exams

Midterm 24.pdf 25.pdf Semestral 24.pdf Supplementary and Back Paper 24.pdf 25.pdf Top of the page

[ Semester Schedule ][ Statmath Unit ] [Indian Statistical Institute]